Question

if two positive integer a and b are written as a = x cube y square and b= xy cube where x and y are prime number find HCF ( a,b) and LCM(a,b)​

Answer 1

Step-by-step explanation:

HCF by using the prime factorization method.

Step1:

Find the prime factorization of each of the number

Step2:

The product of all common prime factor is the HCF

Here,

⇒a=x×x×y×y

⇒b=x×y×y

common Factors are x×y×y

Thus ,

HCF(a,b)=xy

2