Question

Can two numbers have 18 as their HCF and 380 as their LCM?

Give reason.

Answer 1

No.
The HCF of two numbers must be a factor of the LCM .
Hence the above situation is possible only if 18 is a factor of 380.
but we see that it is not a factor of 380.
So, it is not possible to have two numbers whose HCF is 18 and LCM is 380.