Find the HCF and LCM of 404 and 96 and verify that HCF * LCM = product of two numbers

HCF

The higest common Factor of these two numbers can be found by breaking this down into it's prime factors.

404: 2*2*101

96: 2*2*2*2*2*3

HCF: 4

LCM

Using the same factors, the LCM can be found but taking the Highest number of prime factors from each set of numbers.

96:2 * 2 * 2 * 2 * 2 * 3

404: 2 * 2 * 101

The Lowest Common Multiple is

2*2*2*2*2 * 3 * 101

LCM: 96 * 101 = 9696

HCF*LCM = 4 * 9696 = 38784

Multiple Original numbers together = 96 * 404 = 38784