Question

4. If the HCF of 408 and 1032 is expressible in the form 1032m - 408 x 5, find m.​

Answer 1

Answer:

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Answer 2

m = 2.

Explanation —

We'll use Euclid's division algorithm; a = bq + r.

• Here, r ≥ 0

Given expression: 1032m – 408 × 5.

→ 1032 = 408 × 2 + 216

→ 408 = 216 × 2 + 192

→ 216 = 192 × 1 + 24

→ 192 = 24 × 8 = 0

Here, we get remainder = 0 and we get HCF of no. 1032 and 408 is 24.

Now,

= 1032m – 408 × 5 = 24

= 1032m – 2040 = 24

= 1032m = 24 + 2040

= 1032m = 2064

= m = 2064/1032

= m = 2.

Hence, value of m is 2.

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