Question

If the hcf of 408 and 1032 is expressible in the form 1032 m - 408*5 then the value of m is

Answer 1

First we need to find HCF of 408 and 1032

→408= 2 x 2 x 2 x 3 x 17

→1032= 2 x 2 x 2 x 3 x 43

→ HCF= 2 X 2 X 2 X 3= 24

now, acc to question,

1032m-408 x 5= 24

1032m-2040= 24

1032m= 2064

m= 2064/1032

m= 2