find the HCF of the
963,657 and Express it as a linear combination of them
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The remainder has become zero, and we cannot proceed any further. Therefore the HCF of 963 and 657 is the divisor at this stage, i.e., 9. So, HCF of 963 and 657 is 9 and it can be expressed as 9 = 657 × 22 – 963 × 15 .
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We need to find the H.C.F. of 963 and 657 and express it as a linear combination of 963 and 657. By applying Euclid's division lemma, 963 = 657 x 1 + 306. 657 = 306 x 2 + 45. 306 = 45 x 6 + 36.
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