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The steps for finding the H.C.F. of 2940 and 12348 by Euclid’s division lemma are as follows.
12348 = a × 4 + b
a = b × 5 + 0
What are the respective values of a and b?

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2940 and 588

2950 and 560

1940 and 678

2945 and 590

answer is A.

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Detailed Solution

The steps to find the H.C.F. of 12348 and 2940 are as follows.

12348 = 2940 × 4 + 588

2940 = 588 × 5 + 0

Comparing with the given steps, we obtain

a = 2940 and b = 588

Thus, the value of a and b are 2940 and 588 respectively.

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