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

Let a = 404 and b = 96
Expressing the number as a product of prime numbers
404 = 2 × 2 × 101
96 = 2 × 2 × 2 × 2 × 2 × 3
∴ LCM of 404 and 96 is 2 × 2 × 2 × 2 × 2 × 101 × 3 = 9696
∴ HCF of 404 and 96 is 2 × 2 = 4
Now HCF × LCM = 4 × 9696 = 38784
Product of two given numbers 404 × 96 = 38784
Hence HCF × LCM = product of two given numbers.