Question

Can two numbers have 14 as their HCF and 204 as their LCM ? Justify

Answer 1

Hey friend, ☺ here is your answer _____________________________
If 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.

Hope this helps you.....

Answer 2

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.