Find the HCF of 𝑥x and 𝑦y where 𝑥=𝑝2𝑞𝑟3x=p 2 qr 3 , 𝑦=𝑝3𝑞2𝑟2y=p 3 q 2 r 2   (𝑝p, 𝑞q, 𝑟r are prime Numbers)𝑝3𝑞2𝑟3p 3 q 2 r 3 𝑝2𝑞𝑟2p 2 qr 2 𝑝3𝑞2𝑟2p 3 q 2 r 2 𝑝2𝑞2𝑟2p 2 q 2 r 2

If p and q are two distinct prime numbers, then find their HCF.

1. If two positive integers a and b are written as a = x3y2 and b = xy3; where x, y are prime numbers, then HCF (a,b) is: a) xy b) xy2 c) x3y3 d) x2y2

What is the highest common factor (HCF) of 24𝑎2𝑏𝑐 and 36𝑎𝑐?

HCF of three numbers is 3 and LCM is 27. Find the product of the three numbers.

Let a and b be two positive integers such that a = p3 q 4 and b = p2 q 3 , where p and q are prime numbers. If HCF(a,b) = pmq n and LCM(a,b) = pr q s , then (m+n)(r+s)= (a) 15 (b) 30 (c) 35 (d) 72