Question

Find the $HCF$ of $96$ and $404$ by prime factorisation method. Hence, find their $LCM.$

Answer 1

Given,

$96=2\times 2\times 2\times 2\times 2\times 3=2^5\times 3$

$404=2\times 2\times 101=2^2\times 101$

HCF is equal to product of the smallest power of each common prime factor

$=2^2=4$