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Find the greatest number that divides 215 and 159, leaving a remainder in each case.

Answer :

Final answer:

The greatest number that divides 215 and 159 leaving the same remainder is 1.


Explanation:

To find the greatest number that leaves the same remainder when divided into 215 and 159, we need to find their common factors. We can find the factors of both numbers and check for the largest common factor.

The factors of 215 are 1, 5, 43, and 215.

The factors of 159 are 1, 3, 53, and 159.

The only common factor is 1, which means that there is no number greater than 1 that divides both 215 and 159 leaving the same remainder.


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