Question

If teo positive integer a and b are written as a =x^3 y^2 and b = x^3 where x,y are prime numbers then HCF a,b is​

Answer 1

Answer:

Given that, a =x3y2 = x × x × x × y × y

and b = xy3 = x × y × y × y

∴ HCF of a and b = HCF (x3y2,xy3) = x × y × y = xy2

[Since, HCF is the product of the smallest power of each common prime factor involved in the numbers]