Question

Find the greatest number that divides $70,105$ and $175$ exactly.

Answer 1

The greatest number that divides $70,105$ and $175$ is the $HCF$ of them.

We have,

$70=2\times 5\times 7$

$105=3\times 5\times 7$

$175=5\times 5\times 7$

$HCF(70,105,175)=5\times 7=35$

Hence, the required number $=35$