Question

Can two ppsitive inyegers have their HCF nad LCM as 12 and 512 respectively

Answer 1

Let the two numbers be x and y.

As we know that:-
x X y = LCM X HCF
xy = 12 X 512
xy = 6144

As 6144 has many factors, therefore yes two positive integers can have their HCF and LCM 12 & 512

Answer 2

For any two positive integers, the HCF is always a factor of their LCM
Here, however, 12 is not a factor of 512.
Hence, two positive integers cannot have 12 as HCF and 512 as LCM.