What is the HCF and LCM of 100 and 120?

Answer 1

Write 100 and 120 in their prime compositions in power form:

100 = 223052

120 = 233151

For hcf, take lowest power of each prime across the compositions; for LCM, take highest powers:

hcf = 223051 = 4 x 1 x 5 = 20

LCM = 233152 = 8 x 3 x 25 = 600

Answer 2

The HCF = 20

The LCM = 600

Answer 3

The LCM is 600.

The GCF is 20.