Question

What is the H.C.F. of $4\times 27\times 3125,8\times 9\times 25\times 7,16\times 81\times 5\times 11\times 49?$

• A. $180$
• B. $360$
• C. $540$
• D. $1260$

Answer 1

The correct option is A $180$

We have

$4\times 27\times 3125=2\times 2\times 3\times 3\times 3\times 5\times 5\times 5\times 5\times 5$
$8\times 9\times 25\times 7=2\times 2\times 2\times 3\times 3\times 5\times 5\times 7$
$16\times 81\times 5\times 11\times 49=2\times 2\times 2\times 2\times 3\times 3\times 3\times 3\times 5\times 11\times 7\times 7$
Therefore, H.C.F. $=$ $2\times 2\times 3\times 3\times 5=4\times 9\times 5=180$