Question

If two positive integers a and b are written as a=x^3y^2 and b=xy^3;x,y are prime number,then find hcf (a,b).

Answer 1

Given,

a=x^3y^2=x*x*x*y*y

b=xy^3=x*y*y*y

Therefore,HCF of a and b=

x*y*y=xy^2

Hope it helps! :)