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Question

Find HCF of 1650 and 847

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Solution

847 = 7 • 121 = 7 • 11^2

1650 = 2 • 5 • 165 = 2 • 5 • 33 • 5 = 2 • 5^2 • 11

GCF (or HCF) = 11

11 = (1/4)(2 • 847 - 1650) = (1/2) • 847 - (1/4) • 1650

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