Question

State fundamental theorem of arithmetic is it possible for the HCF and LCM of two numbers to be 18 and 378 respectively justify your answer

Answer 1

The fundamental theorem of arithmetic states that a number can be factorised into a unique set of prime factors. Yes these can be the HCF and the LCM on 2 numbers as HCF divides the LCM.

Answer 2

every composite number can be expressed as a product of prime and this factorisation is unique apart from the order in which the prime factors occur