Math, asked by Neerarsh2115, 1 year ago

Find the greatest number that can divide 166 and 237 leaving remainder 5 and 7 respectively

Answers

Answered by TheCommando
97

 \mathfrak{\pink{\underline{\underline{Question}}}}

Find the greatest number that can divide 166 and 237 leaving remainder 5 and 7 respectively.

 \mathfrak{\pink{\underline{\underline{Answer}}}}

 \red{\boxed{23}}

 \mathfrak{\pink{\underline{\underline{Step\: By\: Step\: Solution}}}}

To find the number, we have to find the HCF of the numbers which are exactly divisible.

166

166 - 5 = 161

237

237 - 7 = 230

HCF( 166, 230)

166 = 7 × 23

230 = 2 × 5 × 23

HCF = 23

Therefore, the greatest number that can divide 166 and 237 is 23.

Answered by manojk20360
6

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