Question

can two numbers have 16 and 204 as their HCF and LCM respectively give reason in support of your answer

Answer 1

Two numbers cannot have 16 as HCF and 204 as LCM because HCF should be a factor of LCM as per fundamental theorem of arithmetic. In this case HCF is not a factor of LCM as if we divide 204 by 16 we will get 12 as remainder so 204 is not a factor of 16, or in this case, HCF is not a factor of LCM