3-MDC & MMC Neste cap\303\255tulo, exploraremos o conceito de MDC e MMC. Estudaremos um m\303\251todo para computar esses valores, usando a r\303\241pida maneira Maple para visualiz\303\241-los. Veremos tamb\303\251m algumas propriedades interessantes dos MDC\302\264s e MMC\302\264s .
<Text-field style="Heading 2" layout="Heading 2"><Font encoding="UTF-8">0. C\303\263digo</Font></Text-field> restart; TabeladeFatoracao := proc( n, m ) local N, M, P, i,j,k, A, p ; print( n = ifactor(n) ); print( m = ifactor(m) ); N := numtheory[factorset](n); M := numtheory[factorset](m); P := N union M; p := nops(P); #for k from 1 to nops(M) do print( M[k]); od; A := array( [seq( [ seq( ` `, j = 1..p+2 ) ], i = 1..2+2 ) ]); for j from 1 to p do A[1,j+2] := P[j]; od; for j from 1 to p do A[2,j+2] := `__`; od; A[3,1] := n; A[4,1] := m; A[3,2] := `|`; A[4,2] := `|`; A[1,1] := `primos =`; for k from 1 to p do for i from 0 by 1 while (irem(n,P[k]^i)=0) do end do; A[3, k + 2] := ifactor(P[k]^(i-1)); od; for k from 1 to p do for i from 0 by 1 while (irem(m,P[k]^i)=0) do end do; A[4, k + 2] := ifactor(P[k]^(i-1)); od; print(A); end proc: TabelaMDC := proc( n, m ) local N, M, P, i,j,k, A, p ; N := numtheory[factorset](n); M := numtheory[factorset](m); P := N union M; p := nops(P); #for k from 1 to nops(M) do print( M[k]); od; A := array( [seq( [ seq( ` `, j = 1..p+3 ) ], i = 1..2+4 ) ]); for j from 1 to p do A[1,j+2] := P[j]; od; for j from 1 to p do A[2,j+2] := `__`; od; for j from 1 to p do A[5,j+2] := `__`; od; A[3,1] := n; A[4,1] := m; A[3,2] := `|`; A[4,2] := `|`; A[1,1] := `primos =`; #______Row with 1st factorization_________ for k from 1 to p do for i from 0 by 1 while (irem(n,P[k]^i)=0) do end do; A[3, k + 2] := ifactor(P[k]^(i-1)); od; #______Row with 2nd factorization_________ for k from 1 to p do for i from 0 by 1 while (irem(m,P[k]^i)=0) do end do; A[4, k + 2] := ifactor(P[k]^(i-1)); od; #______Last row with GCD factorization_________ for k from 1 to p do for i from 0 by 1 while (irem(m,P[k]^i)=0) do end do; A[6, k + 2] := ifactor( min( expand(A[3,k+2]),expand(A[4,k+2]))); od; A[6,1] := `GCD =`; A[6, p + 3] := 1; for k from 1 to p do A[6, p + 3] := expand(A[6, p+3]* A[6,k+2]); od; A[6, p + 3] := cat(`= `, A[6, p + 3]); print(A); end proc: TabelaMMC := proc( n, m ) local N, M, P, i,j,k, A, p ; N := numtheory[factorset](n); M := numtheory[factorset](m); P := N union M; p := nops(P); #for k from 1 to nops(M) do print( M[k]); od; A := array( [seq( [ seq( ` `, j = 1..p+3 ) ], i = 1..2+4 ) ]); for j from 1 to p do A[1,j+2] := P[j]; od; for j from 1 to p do A[2,j+2] := `__`; od; for j from 1 to p do A[5,j+2] := `__`; od; A[3,1] := n; A[4,1] := m; A[3,2] := `|`; A[4,2] := `|`; A[1,1] := `primos =`; for k from 1 to p do for i from 0 by 1 while (irem(n,P[k]^i)=0) do end do; A[3, k + 2] := ifactor(P[k]^(i-1)); od; for k from 1 to p do for i from 0 by 1 while (irem(m,P[k]^i)=0) do end do; A[4, k + 2] := ifactor(P[k]^(i-1)); od; for k from 1 to p do for i from 0 by 1 while (irem(m,P[k]^i)=0) do end do; A[6, k + 2] := ifactor( max( expand(A[3,k+2]), expand(A[4, k+2]))); od; A[6,1] := `LCM =`; A[6, p + 3] := 1; for k from 1 to p do A[6, p + 3] := expand(A[6, p+3]* A[6,k+2]); od; A[6, p + 3] := cat(`= `, A[6, p + 3]); print(A); end proc: Elementom\303\255nino := proc( S) local n, i, min; n := nops(S); min := S[1]; for i from 1 to n do if( min > S[i] ) then min := S[i]; fi; od; min; end proc: Elementom\303\241ximo := proc( S) local n, i, max; n := nops(S); max := S[1]; for i from 1 to n do if( max < S[i] ) then max := S[i]; fi; od; max; end proc: conceitoMDC := proc(n, m) local N, M, Common; N := numtheory[divisors](n); print(cat(`\134ndivisores de `,n, ` = `,convert(N , string))); M := numtheory[divisors](m); print(cat(`\134ndivisores de `,m, ` = `,convert(M , string))); Common := % intersect %%: print( `\134ndivisores comuns` = Common); print( `\134nMDC = m\303\241ximo divisor comum` = Elementom\303\241ximo( Common )); end proc: conceitoMMC := proc(n, m) local N, M, Common; N := {seq( n*k, k = 1..m)}; print(cat(`\134nm\303\272ltiplos de `,n, ` = `)); print(cat(` `, convert(N , string)) ); M := {seq( m*k, k = 1..n)}; print(cat(`\134nm\303\272ltiplos de `,m, ` = `)); print(cat(` `, convert(M , string)) ); Common := % intersect %%: print(`\134nm\303\272ltiplos comuns` = Common); print(`\134nMMC = m\303\255nimo m\303\272ltiplo comum ` = Elementom\303\255nino( Common )); end proc:
<Text-field style="Heading 2" layout="Heading 2"><Font encoding="UTF-8">1. Criando uma Tabela de Fatora\303\247\303\243o de Primos</Font></Text-field> Todo n\303\272mero inteiro positivo (maior que um) pode ser fatorado em um produto de primos. 24: % = ifactor(%); 90: % = ifactor(%); NiMvIiNDKiYpLSUhRzYjIiIjIiIkIiIiLSUhRzYjIiIkIiIiNiMvIiMhKiooLSUhRzYjIiIjIiIiKS0lIUc2IyIiJCIiIyIiIi0lIUc2IyIiJiIiIg== Dados dois n\303\272meros, podemos criar uma tabela, organizando essas informa\303\247\303\265es. Descrevemos os n\303\272meros originais no lado esquerdo e listamos TODOS os n\303\272meros primos dispon\303\255veis nos expoentes dos n\303\272meros. E, ent\303\243o, descobriremos qual pot\303\252ncia do n\303\272mero primo dado se apresenta em cada n\303\272mero. TabeladeFatoracao( 24, 90); NiMvIiNDKiYpLSUhRzYjIiIjIiIkIiIiLSUhRzYjIiIkIiIiNiMvIiMhKiooLSUhRzYjIiIjIiIiKS0lIUc2IyIiJCIiIyIiIi0lIUc2IyIiJiIiIg==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 Vamos tentar outros exemplos: TabeladeFatoracao( 20, 15); NiMvIiM/KiYpLSUhRzYjIiIjIiIjIiIiLSUhRzYjIiImIiIiNiMvIiM6KiYtJSFHNiMiIiQiIiItJSFHNiMiIiYiIiI=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 TabeladeFatoracao( 42,36); NiMvIiNVKigtJSFHNiMiIiMiIiItJSFHNiMiIiQiIiItJSFHNiMiIigiIiI=NiMvIiNPKiYpLSUhRzYjIiIjIiIjIiIiKS0lIUc2IyIiJCIiIyIiIg==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 TabeladeFatoracao( 144, 196); 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
<Text-field style="Heading 2" layout="Heading 2">2. O conceito de MDC</Text-field> Cada n\303\272mero inteiro tem um determinado n\303\272mero de divisores - n\303\272meros pelos quais s\303\243o divisiveis exatamente. Se fizermos uma lista dos divisores de cada n\303\272mero e fizermos uma interse\303\247\303\243o dos dois conjuntos, teremos uma lista de fatores comuns. Esta lista de divisores comuns s\303\243o os \303\272nicos n\303\272meros que dividem ambos os n\303\272meros originais. Agora, se considerarmos o maior desses divisores comuns, teremos o MDC - o "m\303\241ximo divisor comum." conceitoMDC( 18, 24); NiMlR3wrZGl2aXNvcmVzfmRlfjE4fj1+fGZyMSx+Mix+Myx+Nix+OSx+MTh8aHJHNiMlTnwrZGl2aXNvcmVzfmRlfjI0fj1+fGZyMSx+Mix+Myx+NCx+Nix+OCx+MTIsfjI0fGhyRw==NiMvJTJ8K2Rpdmlzb3Jlc35jb211bnNHPCYiIiIiIiMiIiQiIic=NiMvJT58K01EQ349fm18anl8anZ8aHZ4aW1vfmRpdmlzb3J+Y29tdW1HIiIn conceitoMDC( 25, 35); NiMlPnwrZGl2aXNvcmVzfmRlfjI1fj1+fGZyMSx+NSx+MjV8aHJHNiMlQXwrZGl2aXNvcmVzfmRlfjM1fj1+fGZyMSx+NSx+Nyx+MzV8aHJHNiMvJTJ8K2Rpdmlzb3Jlc35jb211bnNHPCQiIiIiIiY=NiMvJT58K01EQ349fm18anl8anZ8aHZ4aW1vfmRpdmlzb3J+Y29tdW1HIiIm conceitoMDC( 144, 192); NiMlZW98K2Rpdmlzb3Jlc35kZX4xNDR+PX58ZnIxLH4yLH4zLH40LH42LH44LH45LH4xMix+MTYsfjE4LH4yNCx+MzYsfjQ4LH43Mix+MTQ0fGhyRw==NiMlYm98K2Rpdmlzb3Jlc35kZX4xOTJ+PX58ZnIxLH4yLH4zLH40LH42LH44LH4xMix+MTYsfjI0LH4zMix+NDgsfjY0LH45Nix+MTkyfGhyRw==NiMvJTJ8K2Rpdmlzb3Jlc35jb211bnNHPCwiIiIiIiMiIiQiIiUiIiciIikiIzciIzsiI0MiI1s=NiMvJT58K01EQ349fm18anl8anZ8aHZ4aW1vfmRpdmlzb3J+Y29tdW1HIiNb conceitoMDC( 45, 210); NiMlSHwrZGl2aXNvcmVzfmRlfjQ1fj1+fGZyMSx+Myx+NSx+OSx+MTUsfjQ1fGhyRw==NiMlW3B8K2Rpdmlzb3Jlc35kZX4yMTB+PX58ZnIxLH4yLH4zLH41LH42LH43LH4xMCx+MTQsfjE1LH4yMSx+MzAsfjM1LH40Mix+NzAsfjEwNSx+MjEwfGhyRw==NiMvJTJ8K2Rpdmlzb3Jlc35jb211bnNHPCYiIiIiIiQiIiYiIzo=NiMvJT58K01EQ349fm18anl8anZ8aHZ4aW1vfmRpdmlzb3J+Y29tdW1HIiM6 conceitoMDC( 120, 180); NiMlaW98K2Rpdmlzb3Jlc35kZX4xMjB+PX58ZnIxLH4yLH4zLH40LH41LH42LH44LH4xMCx+MTIsfjE1LH4yMCx+MjQsfjMwLH40MCx+NjAsfjEyMHxockc=NiMlYXB8K2Rpdmlzb3Jlc35kZX4xODB+PX58ZnIxLH4yLH4zLH40LH41LH42LH45LH4xMCx+MTIsfjE1LH4xOCx+MjAsfjMwLH4zNix+NDUsfjYwLH45MCx+MTgwfGhyRw==NiMvJTJ8K2Rpdmlzb3Jlc35jb211bnNHPC4iIiIiIiMiIiQiIiUiIiYiIiciIzUiIzciIzoiIz8iI0kiI2c=NiMvJT58K01EQ349fm18anl8anZ8aHZ4aW1vfmRpdmlzb3J+Y29tdW1HIiNn conceitoMDC( 17810275, 5686625); 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 conceitoMDC( 300766484081591, 477666356354107); 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NiMvJT58K01EQ349fm18anl8anZ8aHZ4aW1vfmRpdmlzb3J+Y29tdW1HIi1wOjQxTj0= Observe que quando n\303\243o h\303\241 um *****fator primo comum*****, o MDC \303\251 sempre 1. conceitoMDC( 8, 9 ); NiMlP3wrZGl2aXNvcmVzfmRlfjh+PX58ZnIxLH4yLH40LH44fGhyRw==NiMlPHwrZGl2aXNvcmVzfmRlfjl+PX58ZnIxLH4zLH45fGhyRw==NiMvJTJ8K2Rpdmlzb3Jlc35jb211bnNHPCMiIiI=NiMvJT58K01EQ349fm18anl8anZ8aHZ4aW1vfmRpdmlzb3J+Y29tdW1HIiIi conceitoMDC( 25,36); NiMlPnwrZGl2aXNvcmVzfmRlfjI1fj1+fGZyMSx+NSx+MjV8aHJHNiMlUnwrZGl2aXNvcmVzfmRlfjM2fj1+fGZyMSx+Mix+Myx+NCx+Nix+OSx+MTIsfjE4LH4zNnxockc=NiMvJTJ8K2Rpdmlzb3Jlc35jb211bnNHPCMiIiI=NiMvJT58K01EQ349fm18anl8anZ8aHZ4aW1vfmRpdmlzb3J+Y29tdW1HIiIi conceitoMDC( 144, 149); NiMlZW98K2Rpdmlzb3Jlc35kZX4xNDR+PX58ZnIxLH4yLH4zLH40LH42LH44LH45LH4xMix+MTYsfjE4LH4yNCx+MzYsfjQ4LH43Mix+MTQ0fGhyRw==NiMlPXwrZGl2aXNvcmVzfmRlfjE0OX49fnxmcjEsfjE0OXxockc=NiMvJTJ8K2Rpdmlzb3Jlc35jb211bnNHPCMiIiI=NiMvJT58K01EQ349fm18anl8anZ8aHZ4aW1vfmRpdmlzb3J+Y29tdW1HIiIi conceitoMDC( 96, 95); NiMlaG58K2Rpdmlzb3Jlc35kZX45Nn49fnxmcjEsfjIsfjMsfjQsfjYsfjgsfjEyLH4xNix+MjQsfjMyLH40OCx+OTZ8aHJHNiMlQnwrZGl2aXNvcmVzfmRlfjk1fj1+fGZyMSx+NSx+MTksfjk1fGhyRw==NiMvJTJ8K2Rpdmlzb3Jlc35jb211bnNHPCMiIiI=NiMvJT58K01EQ349fm18anl8anZ8aHZ4aW1vfmRpdmlzb3J+Y29tdW1HIiIi
<Text-field style="Heading 2" layout="Heading 2">3. O conceito de MMC</Text-field> Podemos saber os m\303\272ltiplos de qualquer n\303\272mero. Por exemplo, os m\303\272ltiplos de 6 s\303\243o 6, 12, 18, 24, 36, 42, 48, 54, 60, 66, .... O n\303\272mero de m\303\272ltiplos \303\251 infinito. Se tivermos dois n\303\272meros, cada um tem sua pr\303\263pria lista de m\303\272ltiplos. Se considerarmos a igualdade desses dois conjuntos, teremos os m\303\272ltiplos comuns. O menor desses \303\251 o MMC , ou "m\303\255nimo m\303\272ltiplo comum." conceitoMMC( 4, 6); NiMlNXwrbXxqeXxqdnxodmx0aXBsb3N+ZGV+NH49fkc=NiMlOH58ZnI0LH44LH4xMix+MTYsfjIwLH4yNHxockc=NiMlNXwrbXxqeXxqdnxodmx0aXBsb3N+ZGV+Nn49fkc=NiMlMX58ZnI2LH4xMix+MTgsfjI0fGhyRw==NiMvJTR8K218anl8anZ8aHZsdGlwbG9zfmNvbXVuc0c8JCIjNyIjQw==NiMvJUJ8K01NQ349fm18anl8anZ8aHZuaW1vfm18anl8anZ8aHZsdGlwbG9+Y29tdW1+RyIjNw== ` {4, 8, 12, 16, 20, 24}`; NiMlOH58ZnI0LH44LH4xMix+MTYsfjIwLH4yNHxockc= conceitoMMC( 8, 10); NiMlNXwrbXxqeXxqdnxodmx0aXBsb3N+ZGV+OH49fkc=NiMlSX58ZnI4LH4xNix+MjQsfjMyLH40MCx+NDgsfjU2LH42NCx+NzIsfjgwfGhyRw==NiMlNnwrbXxqeXxqdnxodmx0aXBsb3N+ZGV+MTB+PX5HNiMlQn58ZnIxMCx+MjAsfjMwLH40MCx+NTAsfjYwLH43MCx+ODB8aHJHNiMvJTR8K218anl8anZ8aHZsdGlwbG9zfmNvbXVuc0c8JCIjUyIjISk=NiMvJUJ8K01NQ349fm18anl8anZ8aHZuaW1vfm18anl8anZ8aHZsdGlwbG9+Y29tdW1+RyIjUw== conceitoMMC( 18, 24); NiMlNnwrbXxqeXxqdnxodmx0aXBsb3N+ZGV+MTh+PX5HNiMlX3J+fGZyMTgsfjM2LH41NCx+NzIsfjkwLH4xMDgsfjEyNix+MTQ0LH4xNjIsfjE4MCx+MTk4LH4yMTYsfjIzNCx+MjUyLH4yNzAsfjI4OCx+MzA2LH4zMjQsfjM0Mix+MzYwLH4zNzgsfjM5Nix+NDE0LH40MzJ8aHJHNiMlNnwrbXxqeXxqdnxodmx0aXBsb3N+ZGV+MjR+PX5HNiMlYnB+fGZyMjQsfjQ4LH43Mix+OTYsfjEyMCx+MTQ0LH4xNjgsfjE5Mix+MjE2LH4yNDAsfjI2NCx+Mjg4LH4zMTIsfjMzNix+MzYwLH4zODQsfjQwOCx+NDMyfGhyRw==NiMvJTR8K218anl8anZ8aHZsdGlwbG9zfmNvbXVuc0c8KCIjcyIkVyIiJDsjIiQpRyIkZyQiJEslNiMvJUJ8K01NQ349fm18anl8anZ8aHZuaW1vfm18anl8anZ8aHZsdGlwbG9+Y29tdW1+RyIjcw== conceitoMMC( 48, 72); 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NiMlNnwrbXxqeXxqdnxodmx0aXBsb3N+ZGV+NzJ+PX5HNiMlXlxsfnxmcjcyLH4xNDQsfjIxNix+Mjg4LH4zNjAsfjQzMix+NTA0LH41NzYsfjY0OCx+NzIwLH43OTIsfjg2NCx+OTM2LH4xMDA4LH4xMDgwLH4xMTUyLH4xMjI0LH4xMjk2LH4xMzY4LH4xNDQwLH4xNTEyLH4xNTg0LH4xNjU2LH4xNzI4LH4xODAwLH4xODcyLH4xOTQ0LH4yMDE2LH4yMDg4LH4yMTYwLH4yMjMyLH4yMzA0LH4yMzc2LH4yNDQ4LH4yNTIwLH4yNTkyLH4yNjY0LH4yNzM2LH4yODA4LH4yODgwLH4yOTUyLH4zMDI0LH4zMDk2LH4zMTY4LH4zMjQwLH4zMzEyLH4zMzg0LH4zNDU2fGhyRw==NiMvJTR8K218anl8anZ8aHZsdGlwbG9zfmNvbXVuc0c8OiIkVyIiJClHIiRLJSIkdyYiJD8oIiRrKSIlMzUiJV82IiUnSCIiJVM5IiUlZSIiJUc8IiVzPSIlOz8iJWdAIiUvQiIlW0MiJSNmIyIlT0YiJSEpRyIlQ0kiJW9KIiU3TCIlY00=NiMvJUJ8K01NQ349fm18anl8anZ8aHZuaW1vfm18anl8anZ8aHZsdGlwbG9+Y29tdW1+RyIkVyI= conceitoMMC( 105, 189); NiMlN3wrbXxqeXxqdnxodmx0aXBsb3N+ZGV+MTA1fj1+Rw==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NiMlN3wrbXxqeXxqdnxodmx0aXBsb3N+ZGV+MTg5fj1+Rw==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NiMvJUJ8K01NQ349fm18anl8anZ8aHZuaW1vfm18anl8anZ8aHZsdGlwbG9+Y29tdW1+RyIkWCo= Observa\303\247\303\243o - Se n\303\243o houver fatores primos comuns, o MMC \303\251 o produto dos dois n\303\272meros. conceitoMMC( 5, 7); NiMlNXwrbXxqeXxqdnxodmx0aXBsb3N+ZGV+NX49fkc=NiMlPX58ZnI1LH4xMCx+MTUsfjIwLH4yNSx+MzAsfjM1fGhyRw==NiMlNXwrbXxqeXxqdnxodmx0aXBsb3N+ZGV+N349fkc=NiMlNX58ZnI3LH4xNCx+MjEsfjI4LH4zNXxockc=NiMvJTR8K218anl8anZ8aHZsdGlwbG9zfmNvbXVuc0c8IyIjTg==NiMvJUJ8K01NQ349fm18anl8anZ8aHZuaW1vfm18anl8anZ8aHZsdGlwbG9+Y29tdW1+RyIjTg== conceitoMMC( 24, 25); 25*24; NiMlNnwrbXxqeXxqdnxodmx0aXBsb3N+ZGV+MjR+PX5HNiMlZXJ+fGZyMjQsfjQ4LH43Mix+OTYsfjEyMCx+MTQ0LH4xNjgsfjE5Mix+MjE2LH4yNDAsfjI2NCx+Mjg4LH4zMTIsfjMzNix+MzYwLH4zODQsfjQwOCx+NDMyLH40NTYsfjQ4MCx+NTA0LH41MjgsfjU1Mix+NTc2LH42MDB8aHJHNiMlNnwrbXxqeXxqdnxodmx0aXBsb3N+ZGV+MjV+PX5HNiMlYXJ+fGZyMjUsfjUwLH43NSx+MTAwLH4xMjUsfjE1MCx+MTc1LH4yMDAsfjIyNSx+MjUwLH4yNzUsfjMwMCx+MzI1LH4zNTAsfjM3NSx+NDAwLH40MjUsfjQ1MCx+NDc1LH41MDAsfjUyNSx+NTUwLH41NzUsfjYwMHxockc=NiMvJTR8K218anl8anZ8aHZsdGlwbG9zfmNvbXVuc0c8IyIkKyc=NiMvJUJ8K01NQ349fm18anl8anZ8aHZuaW1vfm18anl8anZ8aHZsdGlwbG9+Y29tdW1+RyIkKyc=NiMiJCsn conceitoMMC( 32, 30); 32*24; NiMlNnwrbXxqeXxqdnxodmx0aXBsb3N+ZGV+MzJ+PX5HNiMlX3R+fGZyMzIsfjY0LH45Nix+MTI4LH4xNjAsfjE5Mix+MjI0LH4yNTYsfjI4OCx+MzIwLH4zNTIsfjM4NCx+NDE2LH40NDgsfjQ4MCx+NTEyLH41NDQsfjU3Nix+NjA4LH42NDAsfjY3Mix+NzA0LH43MzYsfjc2OCx+ODAwLH44MzIsfjg2NCx+ODk2LH45Mjgsfjk2MHxockc=NiMlNnwrbXxqeXxqdnxodmx0aXBsb3N+ZGV+MzB+PX5HNiMlaXR+fGZyMzAsfjYwLH45MCx+MTIwLH4xNTAsfjE4MCx+MjEwLH4yNDAsfjI3MCx+MzAwLH4zMzAsfjM2MCx+MzkwLH40MjAsfjQ1MCx+NDgwLH41MTAsfjU0MCx+NTcwLH42MDAsfjYzMCx+NjYwLH42OTAsfjcyMCx+NzUwLH43ODAsfjgxMCx+ODQwLH44NzAsfjkwMCx+OTMwLH45NjB8aHJHNiMvJTR8K218anl8anZ8aHZsdGlwbG9zfmNvbXVuc0c8JCIkIVsiJGcqNiMvJUJ8K01NQ349fm18anl8anZ8aHZuaW1vfm18anl8anZ8aHZsdGlwbG9+Y29tdW1+RyIkIVs=NiMiJG8o conceitoMMC( 125, 126); 125*126; NiMlN3wrbXxqeXxqdnxodmx0aXBsb3N+ZGV+MTI1fj1+Rw==NiMlaFxufnxmcjEyNSx+MjUwLH4zNzUsfjUwMCx+NjI1LH43NTAsfjg3NSx+MTAwMCx+MTEyNSx+MTI1MCx+MTM3NSx+MTUwMCx+MTYyNSx+MTc1MCx+MTg3NSx+MjAwMCx+MjEyNSx+MjI1MCx+MjM3NSx+MjUwMCx+MjYyNSx+Mjc1MCx+Mjg3NSx+MzAwMCx+MzEyNSx+MzI1MCx+MzM3NSx+MzUwMCx+MzYyNSx+Mzc1MCx+Mzg3NSx+NDAwMCx+NDEyNSx+NDI1MCx+NDM3NSx+NDUwMCx+NDYyNSx+NDc1MCx+NDg3NSx+NTAwMCx+NTEyNSx+NTI1MCx+NTM3NSx+NTUwMCx+NTYyNSx+NTc1MCx+NTg3NSx+NjAwMCx+NjEyNSx+NjI1MCx+NjM3NSx+NjUwMCx+NjYyNSx+Njc1MCx+Njg3NSx+NzAwMCx+NzEyNSx+NzI1MCx+NzM3NSx+NzUwMCx+NzYyNSx+Nzc1MCx+Nzg3NSx+ODAwMCx+ODEyNSx+ODI1MCx+ODM3NSx+ODUwMCx+ODYyNSx+ODc1MCx+ODg3NSx+OTAwMCx+OTEyNSx+OTI1MCx+OTM3NSx+OTUwMCx+OTYyNSx+OTc1MCx+OTg3NSx+MTAwMDAsfjEwMTI1LH4xMDI1MCx+MTAzNzUsfjEwNTAwLH4xMDYyNSx+MTA3NTAsfjEwODc1LH4xMTAwMCx+MTExMjUsfjExMjUwLH4xMTM3NSx+MTE1MDAsfjExNjI1LH4xMTc1MCx+MTE4NzUsfjEyMDAwLH4xMjEyNSx+MTIyNTAsfjEyMzc1LH4xMjUwMCx+MTI2MjUsfjEyNzUwLH4xMjg3NSx+MTMwMDAsfjEzMTI1LH4xMzI1MCx+MTMzNzUsfjEzNTAwLH4xMzYyNSx+MTM3NTAsfjEzODc1LH4xNDAwMCx+MTQxMjUsfjE0MjUwLH4xNDM3NSx+MTQ1MDAsfjE0NjI1LH4xNDc1MCx+MTQ4NzUsfjE1MDAwLH4xNTEyNSx+MTUyNTAsfjE1Mzc1LH4xNTUwMCx+MTU2MjUsfjE1NzUwfGhyRw==NiMlN3wrbXxqeXxqdnxodmx0aXBsb3N+ZGV+MTI2fj1+Rw==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 conceitoMMC( 345, 198); 345 * 198; NiMlN3wrbXxqeXxqdnxodmx0aXBsb3N+ZGV+MzQ1fj1+Rw==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NiMvJTR8K218anl8anZ8aHZsdGlwbG9zfmNvbXVuc0c8JSImcUYjIiZTYiUiJjUkbw==NiMvJUJ8K01NQ349fm18anl8anZ8aHZuaW1vfm18anl8anZ8aHZsdGlwbG9+Y29tdW1+RyImcUYjNiMiJjUkbw==
<Text-field style="Heading 2" layout="Heading 2"><Font encoding="UTF-8">4. Encontrando o MDC na Tabela de Fatora\303\247\303\243o</Font></Text-field> Para encontrar o MDC de dois n\303\272meros - o m\303\241ximo divisor comum - crie uma tabela de fatora\303\247\303\243o de primos ... e ... TabeladeFatoracao( 24, 28); 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 ... ent\303\243o use o M\303\215NIMO de cada coluna de primos. O produto desses m\303\255nimos \303\251 o MDC. TabelaMDC( 24, 28); 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 Agora vamos encontrar o MDC de 15 e 20. TabelaMDC( 15, 20); 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 TabelaMDC( 80, 200); 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 TabelaMDC( 48, 72); 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 TabelaMDC( 105, 140); 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 TabelaMDC( 144, 192); 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 TabelaMDC( 2239245, 2626275); 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 TabelaMDC( 10983487, 11348973); 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
<Text-field style="Heading 2" layout="Heading 2"><Font encoding="UTF-8">5. Encontrando o MMC na Tabela de Fatora\303\247\303\243o</Font></Text-field> Para encontrar o MMC - m\303\255nimo m\303\272ltiplo comum - crie uma tabela de fatora\303\247\303\243o ... e ... TabeladeFatoracao( 24, 28); 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 ...desta vez...encontre o M\303\201XIMO de cada coluna em vez de o m\303\255nimo. TabelaMMC( 18, 24); 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 TabelaMMC( 16, 24); 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 TabelaMMC( 25, 35); 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 TabelaMMC( 28, 49); 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 TabelaMMC( 108, 81); 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 TabelaMMC( 96, 72); 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 TabelaMMC( 80, 45); 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 TabelaMMC( 1734, 1581); 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
<Text-field style="Heading 2" layout="Heading 2">6. Encontrando o MDC & MMC usando o Maple</Text-field> O Maple pode calcular isso clara e diretamente: MDC( 18, 24); MMC( 18, 24); NiMtJSRNRENHNiQiIz0iI0M=NiMtJSRNTUNHNiQiIz0iI0M= E mais um MDC( 100, 120); MMC( 100, 120); NiMtJSRNRENHNiQiJCsiIiQ/Ig==NiMtJSRNTUNHNiQiJCsiIiQ/Ig== Um ponto interessante: isso funciona tanto para n\303\272meros quanto para express\303\265es alg\303\251bricas. MDC( 4*x^2, 6*x); MMC( 4*x^2, 6*x); NiMtJSRNRENHNiQsJComIiIlIiIiKSUieEciIiMiIiIiIiIsJComIiInIiIiJSJ4RyIiIiIiIg==NiMtJSRNTUNHNiQsJComIiIlIiIiKSUieEciIiMiIiIiIiIsJComIiInIiIiJSJ4RyIiIiIiIg== A := 24*(x^5)*(y^2); B := 36*(x^4)*(y^3); `MDC ` = gcd( A, B); `MMC ` = lcm( A, B); NiM+JSJBRywkKigiI0MiIiIpJSJ4RyIiJiIiIiklInlHIiIjIiIiIiIiNiM+JSJCRywkKigiI08iIiIpJSJ4RyIiJSIiIiklInlHIiIkIiIiIiIiNiMvJSVNREN+RywkKigiIzciIiIpJSJ4RyIiJSIiIiklInlHIiIjIiIiIiIiNiMvJSVNTUN+RywkKigiI3MiIiIpJSJ4RyIiJiIiIiklInlHIiIkIiIiIiIi A := (x-3)*(x+8); B := (x+5)*(x+8); `MCD ` = gcd( A, B); `MMC ` = lcm( A, B); NiM+JSJBRyomLCYlInhHIiIiIiIkISIiIiIiLCYlInhHIiIiIiIpIiIiIiIiNiM+JSJCRyomLCYlInhHIiIiIiImIiIiIiIiLCYlInhHIiIiIiIpIiIiIiIiNiMvJSVNQ0R+RywmJSJ4RyIiIiIiKSIiIg==NiMvJSVNTUN+RyooLCYlInhHIiIiIiIkISIiIiIiLCYlInhHIiIiIiImIiIiIiIiLCYlInhHIiIiIiIpIiIiIiIi A := x^3+11*x^2+19*x+9; B := x^3+9*x^2-x-9; `MDC ` = factor( gcd( A, B )); `MMC ` = factor( lcm( A, B)); NiM+JSJBRywqKiQpJSJ4RyIiJCIiIiIiIiomIiM2IiIiKSUieEciIiMiIiIiIiIqJiIjPiIiIiUieEciIiIiIiIiIioiIiI=NiM+JSJCRywqKiQpJSJ4RyIiJCIiIiIiIiomIiIqIiIiKSUieEciIiMiIiIiIiIlInhHISIiIiIqISIiNiMvJSVNREN+RyomLCYlInhHIiIiIiIqIiIiIiIiLCYlInhHIiIiIiIiIiIiIiIiNiMvJSVNTUN+RyooKSwmJSJ4RyIiIiIiIiIiIiIiIyIiIiwmJSJ4RyIiIiIiIiEiIiIiIiwmJSJ4RyIiIiIiKiIiIiIiIg==
<Text-field style="Heading 2" layout="Heading 2"><Font encoding="UTF-8">7. Rela\303\247\303\243o de Produtos</Font></Text-field>Vamos comparar o produto de dois n\303\272meros com os produtos de seus MDC\302\264s e MMC\302\264s A := 24; B := 36; `MDC = ` = gcd(A, B); `MMC = ` =lcm(A, B); print(` `); `A*B = ` =A*B; `MDC * MMC ` =gcd(A, B)*lcm(A, B); NiM+JSJBRyIjQw==NiM+JSJCRyIjTw==NiMvJSdNREN+PX5HIiM3NiMvJSdNTUN+PX5HIiNzNiMlIn5HNiMvJSdBKkJ+PX5HIiRrKQ==NiMvJStNREN+Kn5NTUN+RyIkayk= N\303\243o \303\251 incr\303\255vel? Os dois produtos s\303\243o os mesmos! Vamos tentar outros exemplos para ver se tamb\303\251m est\303\243o certos. A := 64; B := 72; `MDC = ` = gcd(A, B); `MMC = ` =lcm(A, B); print(` `); `A*B = ` =A*B; `MDC * MMC ` =gcd(A, B)*lcm(A, B); NiM+JSJBRyIjaw==NiM+JSJCRyIjcw==NiMvJSdNREN+PX5HIiIpNiMvJSdNTUN+PX5HIiR3Jg==NiMlIn5HNiMvJSdBKkJ+PX5HIiUzWQ==NiMvJStNREN+Kn5NTUN+RyIlM1k= A := 105; B := 75; `MDC = ` = gcd(A, B); `MMC = ` =lcm(A, B); print(` `); `A*B = ` =A*B; `MDC * MMC ` =gcd(A, B)*lcm(A, B); NiM+JSJBRyIkMCI=NiM+JSJCRyIjdg==NiMvJSdNREN+PX5HIiM6NiMvJSdNTUN+PX5HIiREJg==NiMlIn5HNiMvJSdBKkJ+PX5HIiV2eQ==NiMvJStNREN+Kn5NTUN+RyIldnk= A := 2100; B := 750; `MDC = ` = gcd(A, B); `MMC = ` =lcm(A, B); print(` `); `A*B = ` =A*B; `MDC * MMC ` =gcd(A, B)*lcm(A, B); NiM+JSJBRyIlK0A=NiM+JSJCRyIkXSg=NiMvJSdNREN+PX5HIiRdIg==NiMvJSdNTUN+PX5HIiYrMCI=NiMlIn5HNiMvJSdBKkJ+PX5HIigrXWQiNiMvJStNREN+Kn5NTUN+RyIoK11kIg== A := 488; B := 160; `MDC = ` = gcd(A, B); `MMC = ` =lcm(A, B); print(` `); `A*B = ` =A*B; `MDC * MMC ` =gcd(A, B)*lcm(A, B); NiM+JSJBRyIkKVs=NiM+JSJCRyIkZyI=NiMvJSdNREN+PX5HIiIpNiMvJSdNTUN+PX5HIiVnKCo=NiMlIn5HNiMvJSdBKkJ+PX5HIiYhM3k=NiMvJStNREN+Kn5NTUN+RyImITN5 Parece que temos uma f\303\263rmula: A*B = MDC(A,B) * MMC(A*B). Voc\303\252 consegue provar ?
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