Question

Can 2 numbers have 16 as their HCF and 380 as their LCM ? Give reasons

Answer 1

HCF of two numbers is a factor of the LCM of those numbers.

Thus, we cannot have two numbers whose HCF is 16 and LCM is 380.

Because, when we divide 380 by 16, we get a remainder of 12.

Thus, 16 is not a factor of 380.

Hence, we cannot have two numbers whose HCF is 16 and LCM is 380.