Question

Using prime factorisation, find the HCF and LCM of 96, 404. In case verify that HCF × LCM = product of given numbers.

Answer 1

Prime factorisation:

96 = 2⁵ × 3

404 = 2² × 101

HCF = product of smallest power of each common prime factor in the numbers

= 2²

= 4

LCM = product of greatest power of each prime factor involved in the numbers

= 2⁵ × 3 × 101

= 9696