Question

If the HCF of 408 and 1032 is expressible in the form 1032 × 2 + 408 × p ,then find the value p​

Answer 1

Answer:

If the HCF of 408 and 1032 is expressible in the form 1032 m−408×5, find m.

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ANSWER

By Euclid's division algorithm

1032=408×2+216

408=216×1+192

216=192×1+24

192=24×8+0

Since the reminder becomes 0 here, so HCF of 408 and 1032 is 24 now

1032m−408×5=HCF of there number

1032m−408×5=24

1032m=2064

m=2