Find HCF and LCM of 404 and 96 and verify that HCF × LCM = product
Question:

Find HCF and LCM of 404 and 96 and verify that HCF × LCM = product of two given numbers.

Solution:

Prime factorisation:
404 = 2 × 2 × 101
96 = 2 × 2 × 2 × 2 × 2 × 3

HCF (404, 96) = 2 × 2
= 4

LCM (404, 96) = 2 × 2 × 2 × 2 × 2 × 3 × 101
= 9696

Now, LCM × HCF = 9696 × 4
= 38784

Product of 404 and 96 = 404 × 96
= 38784

Hence, HCF × LCM = product of two given numbers.