Question

find the greatest number that will exactly divide 840 and 2296

Answer 1

840 = 2*420= 2^2*210= 2^3*105 = 2^3*5*21 = 2^3*3*5*7

 

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2296 = 2*1148=2^2*574=2^3*287 = 2^3*7*41

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It looks like 2^3*7 is the greatest common factor cluster.

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Answer 8*7 = 56

Answer 2

Hcf of 840 and 2296

840=4×7×3×2×5

2296=4×2×7×41

Thus 56 is the hcf