Question

Find the GCD:

(7) 75, 57, 102

Answer 1

$\begin{array}{cc}3& 75\\ 5& 25\\ 5& 5\\ & 1\end{array}$
⇒ 75 = 3 × 5 × 5

$\begin{array}{cc}3& 57\\ 19& 19\\ & 1\end{array}$
⇒ 57 = 3 × 19

$\begin{array}{cc}2& 102\\ 3& 51\\ 17& 17\\ & 1\end{array}$
⇒ 102 = 2 × 3 × 17

∴ GCD = 3