Question

If two positive integers c and d are written as c=xy^2 and d=x^3y where x and y are prime numbers then find HCF (c,d)

Answer 1

c=xy​^2
​​​d=x​^2​​y​​ 
H.C.F.(c, d) =>

c=x×y×y
d=x×x×y​​ 

Common Factors = x, y
Therefore, H.C.F. (c, d) = xy