Question

Using prime factorization, find the HCF and LCM of:
$8,9,25$

Answer 1

$8=2\times 2\times 2=2\times 2\times 2\times 1$

$9=3\times 3=3\times 3\times 1$

$25=5\times 5=5\times 5\times 1$

Now,

$HCF(8,9,25)=$ Product of all common factors $=1$

LCM $=$ Product of HCF and all non common factors $=1\times 2\times 2\times 2\times 3\times 3\times 5\times 5$

$LCM(8,9,25)=1800$