Question

GIVE THE SOLUTION FOR THE QUESTION-
Can two numbers have 14 as their HCF and 20 as their LCM? Give reason in support of your answer

Answer 1

Answer:

we have to check that can two numbers have 14 as their HCF and 204 as their LCM, we have to check out first that is HCF is a factor of LCM or not ..

So lets check ----

LCM = 204 = 2 × 2 × 3 × 7

and HCF = 14 = 2 × 7

as we can see that HCF is not a factor of LCM

Therefore, two numbers cannot have 14 as their HCF and 204 as their LCM.