Question

1) Sendo A = 23 .32 .7.11, B = 22 . 33 . 72 .11 e C = 2 . 32 . 73 . 13, encontre:
a) mdc (A, B)
b) mdc (A, C)
c) mdc (B, C)​

Answer 1

Resposta:

Explicação passo-a-passo:

A = 23 .32 .7.11

$A = 23 . 2^{5} . 7 . 11$

B = 22 . 33 . 72 .11

$B = 11 . 2 . 11 . 3 . 9.8 = 11^{2} . 2^{4} . 3^{3}$

C = 2 . 32 . 73 . 13

$C = 2^{6} . 73 . 13$

a) mdc (A, B) = $2^{4} . 11 = 16 . 11 = 176$

b) mdc (A, C) = $2^{5} = 32$

c) mdc (B, C)​ = $2^{4} = 16$