Find the largest number which divides 70 and 125 leaving remainder 5 a

1.	Find the largest number which divides 70 and 125 leaving remainder 5 and 8 respectively.
Answer» If we are left with reminder 5 and 8 while dividing 70 and 125. Then we can conclude that 70 - 5 = 65 & 125 - 8 =117 are divisible by the number. As we have to find the maximum number so we will find HCF b/w the two. ∴ Required number = HCF (65, 117) We know, 65 = 13 × 5 117 = 13 × 3 × 3 ∴ HCF = 13 The required number = 13

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

Answer»

If we are left with reminder 5 and 8 while dividing 70 and 125.
Then we can conclude that 70 - 5 = 65 & 125 - 8 =117 are divisible by the number.

As we have to find the maximum number so we will find HCF b/w the two.

∴ Required number = HCF (65, 117)

We know,

65 = 13 × 5

117 = 13 × 3 × 3

∴ HCF = 13

The required number = 13

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

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