Math, asked by manyarao3819, 1 year ago

Find the greatest number that will divide 137 182 and 422 leaving the remainder 2 in each others

Answers

Answered by DerrickStalvey
26

In order to make 137, 182 and 422 completely divisible by the greatest number , we need to subtract 2 from each term, so

137-2 = 135, 182-2 = 180 and 422-2 = 420

Now HCF of  135, 180 and 420 is

135 = 3×3×3×5

180 = 2×2×3×3×5

420 = 2×2×3×5×7

Hence HCF of  135, 180 and 420 is 3×5 = 15

Hence the greatest number that will divide 137, 182 and 422 leaving the remainder 2 in each case is 15.

Answered by lalankumar99395
10

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