Question

Find the greatest number wch divides 351,524,697 leaves the same reminder in each case

Answer 1

Find the HCF
697 - 524 = 173
524 - 351 = 173
Hence HCF of 173, 173 is 173
Hence 173 is the number which divides 351, 524, 697 to leave the same remainder in each case(remainder = 5).
Hope it helps.

Answer 2

Concept Introduction:

HCF is highest common factor which can divide the given number and highest among all factor both numbers sharing.

Given: The numbers $351,524,697$.

To Find:

We have to find the value of, greatest number which divides $351,524,697$ leaves the same reminder in each case.

Solution:

According to the problem,

HCF of $697$ and $524$ is $173$ ;$524$ and $351$ is $173$

Hence HCF of  $351,524,697$ is $173$.

Hence $173$ is the number which divides $351, 524, 697$ to leave the same remainder in each case(remainder = $5$).

Final Answer:

The value of greatest number which divides $351,524,697$ leaves the same reminder in each case is $173$.

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