Question

F the hcf of 48 and 18 is expressible in the form of 18m - 48, then the value of m is

Answer 1

48 = 18 × 2 + 12

18 = 12 × 1 + 6

12 = 6 × 2 + 0

HCF = 6

6 = 18 - 12 × 1

6 = 18 - ( 48 - 18 × 2 )

6 = 18 - 48 + 18 × 2

6 = 18 × 3 - 48

6 = 18m - 48

Here, m = 3