Question

Find H.C.F of 25, 75 and 100.

• A. 56
• B. 25
• C. 95
• D. 100

Answer 1

The correct option is B

25

$\begin{array}{cc}5& 25\\ 5& 5\\ & 1\end{array}$
$\therefore 25=5\times 5$

$\begin{array}{cc}3& 75\\ 5& 25\\ 5& 5\\ & 1\end{array}$
$\therefore 75=5\times 5\times 3$

$\begin{array}{cc}2& 100\\ 5& 50\\ 5& 10\\ 2& 2\\ & 1\end{array}$
$\therefore 100=2\times 5\times 5\times 2$
$25=5\times 5$
$75=5\times 5\times 3$
$100=5\times 5\times 2\times 2$
The common factors are 5, 5
Hence, $H.C.F=(5\times 5)=25$