Question

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

Answer 1

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

Check -

70 / 13 = 5 and remainder = 5

and 125 / 13 = 9 and remainder = 8.

Answer 2

Answer:

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Step-by-step explanation:

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