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

Answer:

According to the given details

We have to find the largest number which divides 70 and 125, leaving remainders 5 and 8.

The given data can be expressed as

To find the largest number that exactly divides (70 – 5), and (125 – 8)

The largest number that divides 65 and 117 is also the Highest Common Factor of 65 and 117

Therefore, we have to determine the HCF of 65 and 117

  • 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

Answer

The largest number which divides 70 and 125, leaving remainders 5 and 8, respectively = 13

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