Question

Faturação:

MDC (35;40) MDC (12;60) MDC (20;30;25) MDC (40;30)

Answer 1

Para achar o MDC, vamos fatorar simultaneamente os números, destacando os fatores que forem comuns a todos. O MDC será o produto dos fatores comuns (destacados), acompanhe:

a)

$35,40~|~2\\35,20~|~2\\35,10~|~2\\35,05~|~\boxed{5}\\07,01~|~7\\01,01~|~\rightarrow~\boxed{MDC(35,40)~=~5}$

b)

$12,60~|~\boxed{2}\\06,30~|~\boxed{2}\\03,15~|~\boxed{3}\\01,05~|~5\\01,01~|~\rightarrow~\boxed{MDC(12,60)~=~2~.~2~.~3~=~12}$

c)

$20,30,25~|~2\\10,15,25~|~2\\05,15,25~|~3\\05,05,25~|~\boxed{5}\\01,01,05~|~5\\01,01,01~|~\rightarrow~\boxed{MDC(20,30,25)~=~5}$

d)

$40,30~|~\boxed{2}\\20,15~|~2\\10,15~|~2\\05,15~|~3\\05,05~|~\boxed{5}\\01,01~|~\rightarrow~\boxed{MDC(40,30)~=~2~.~5~=~10}$