Question

Find HCF and LCM of 404 and 96 and verify that HCF $\times$ LCM = Product of the two given numbers.

Answer 1

Prime factorization of 404 = 2 $\times$ 2 $\times$ 101
Prime factorization of 96 = 2 $\times$ 2 $\times$ 2 $\times$ 2$\times$ 2 $\times$ 3
$\therefore$ HCF =
2 $\times$ 2 = 4
And LCM = 2 $\times$ 2 $\times$ 2 $\times$ 2 $\times$ 2 $\times$ 3 $\times$ 101
= 9696
$\therefore$ HCF = 4, LCM = 9696
Verification
HCF $\times$ LCM = Product of two numbers
4 $\times$ 9696 = 404 $\times$ 96
38784 = 38784
Hence Verified.