Question

If the h c f of 408 and 1032 is expressible in the form 1032m – 408 × 5, then the value of m is:

Answer 1

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Answer is 2.

Answer 2

Solution:

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Given:

HCF of 408 x 5(= 2040) & 1032 is expressible in the form 1032m - 408 x 5,

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To Find:

The value of m,

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To find HCF,

By using euclid division lemma,

we get ,

=> a = bq + r   (b > r≥0)

=>  2040 = 1032 x 1 + 1008

=> 1032 = 1008 x 1 + 24

=> 1008 = 24 x 42 + 0

=> ∴ HCF = 24,

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Applying linear combination,

We get,

=> 24 =  1032m - 408 x 5

=> 24 = 1032m - 2040

=> 24 + 2040 = 1032m

=> 2064 = 1032m

=> m = $\frac{2064}{1032} = 2$,

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                                      Hope it Helps!!

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