Question

let d be the HCF of 24 and 36 Find two numbers A and B such that d is equal to 24a + 36 b​

Answer 1

24 = 2³ × 3

36 = 2² × 3²

HCF (24,36) = 4 × 3 = 12 ,

12 = 24a + 36b

12 = (-1)× 24 + 36 × 1

So, a = -1 and b = 1