Question

If two positive integers a and b are written as a=x³y and b=x²y²; x and y are prime numbers, then HCF(x,y) is


pls fast​

Answer 1

Answer:

Answer

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

Answer 2

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a=x³y

b=x²y²

HCF→ Common Factors of a and b

HCF→ x²y

LCM→ Highest value of x and y

LCM→ x³y²