Question

If the hcf of 408 and 1032 is expressible in the form 1032p-408×5 find p

Answer 1

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Answer 2

Answer:

p = 2

Step-by-step explanation:

408 and 1032

408  = 2* 2 * 2 * 17 * 3

1032 = 2 * 2 * 2 * 3 * 43

H.C.F = 2 * 2 * 2 * 3 = 24

According to the question,

1032 p - 408 × 5 = 24

1032 p - 2040 = 24

1032 p = 24 + 2040

1032 p = 2064

p = 2064/1032 = 2

p = 2.