Question

if two positive integer 'a' and 'b' are written as a= x³y² and b=xy² (x,y prime), find HCF (a,b) and LCM (a,b)​

Answer 1

Answer:

B. xy2 Let a = x3y2 = x × x × x × y × y And b = xy3 = x × y × y × y ⇒ HCF of a and b = HCF (x3y2, xy3) = x × y × y = xy2 [Since, HCF is the product of the smallest power of each common prime factor involved in the numbers]Read more on Sarthaks.com - https://www.sarthaks.com/877781/if-two-positive-integers-and-are-written-as-3y-2and-xy-where-are-prime-numbers-then-hcf-is

Answer 2

Answer:

HCF (x³y²,xy²)= xy²

LCM (x³y²,xy²)= x³y²