Question

if hcf of 408 and 1032is expresible in the form of 1032m-408*5 find m

Answer 1

Answer:
We use Euclid's division lemma As:

1032 = 408 $\times$ 2 + 216

408 = 216 $\times$ 1 + 192

216 = 192 $\times$ 1 + 24

192 = 24 $\times$ 8 + 0

So,
H.C.F. = 24
So our form will be
1032 m - 408 $\times$ 5 = 24

1032 m = 24 + 2040

1032 m = 2064

m = 2 ( Ans )