Math, asked by shaurya7646, 1 year ago

find the greatest number which divide 281 and141 leaving remainder 5

Answers

Answered by vhpsharitha
0
To find the largest number which divides 281 and 141 leaving remainder 6 in each case i.e. HCF.

Consider HCF be x.

In order to make 281and 141 completely divisible by x, we need to deduct the remainder 5 from both the cases.

i.e., 276 and 136

The factors of 136 are: 1, 2, 4, 8, 17, 34, 68, 136

The factors of 276 are: 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

⇒ x = 1*2*4=8

∴ largest number which divides 141 and 281 leaving remainder 5 in each case is 8.

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