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Find the largest number which divides …

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Find the largest number which divides 70 and 125, leaving remainders 5 and 8 respectively.

Posted by Aditya Goyal 8 years ago

CBSE > Class 09 > Mathematics

2 answers

Varun Banda 8 years ago

To find the largest number which exactly divides (70 - 5), and (125 - 8)

The required number is the HCF of 65 and 117

find HCF by any method.

Here HCF of 65 and 117 is by Factor Method.

Factors of 65 = 1, 5, 13, 65

Factors of 117 = 1, 3, 9, 13, 39, 117 Common Factors = 1, 13

Highest Common factor (HCF) = 13

Ans - The required number = 13

InCheck - 70 / 13 = 5 and remainder = 5 and 125 / 13 = 9 and remainder = 8

Vanshaj Jindal 8 years ago

13

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