Question

If two positive integers a and b are written as a= x^5 y^3 and b= x^3 y^4 , where x and y are prime numbers, then HCF of ( a,b) is​

Answer 1

Answer:

• HCF= x^5 y^4

Step-by-step explanation:

• HCF of a= x x x x x y y y
• HCF of b= x x x y y y y
• HCF of ab= common factors × non common factors
• common factors= x^ 3 y^3
• non common factors= x^2 y^1
• HCF = x^3 y^3 × x^2 y^1

= x^5 y^3