Question

determine o mdc dos números abaixo:

a)22,168

b)30,10,100​

Answer 1

Resposta:

a) 2

b) 10

Explicação passo a passo:

22, 168  2 - (apenas o 2 divide os dois)

11, 84  2

11, 42  2

11, 21  3

11, 7  7

11, 1  11

1, 1

30, 10, 100  2 -

15, 5, 50  2

15, 5, 25  3

5, 5, 25  5 -

1, 1, 5  5

1, 1, 1              2*5 = 10

Answer 2

Resposta:

$\textsf{Segue as respostas abaixo}$

Explicação passo-a-passo:

$\begin{array}{c|c}\sf22,168&\boxed{\sf2}\\\sf11,84&\sf2\\\sf11,42&\sf2\\\sf11,21&\sf3\\\sf11,7&\sf7\\\sf11,1&\sf11\\\sf1,1\end{array}$

$\boxed{\boxed{ \mathsf{ MDC\big(22,168\big)=2}}}$

$\begin{array}{c|c}\sf30,10,100&\boxed{\sf2}\\\sf15,5,50&\sf2\\\sf15,5,25&\sf3\\\sf5,5,25&\boxed{\sf5}\\\sf1,1,5&\sf5\\\sf1,1,1\end{array}$

$\boxed{\boxed{ \mathsf{MDC\big(30,10,100\big)=10}}}$