Question

Find the greatest number that will divide 1259, 1558 and 1935 leaving the same remainder in each case.
1)13
2) 15
3) 16
4) 12
5) 11
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Answer 1

Answer:

All three numbers are  1259, 1558, and 1935

The Largest number is 1935

The Smallest number is 1259

Subtract the smallest number from both the highest numbers.

So,

1935 - 1259 = 676

1558 - 1259 = 299

1558 is smaller than 1935, So subtract 1558 from 1935.

1935 - 1558 = 377

Now, we have 3 numbers: 676, 377, and 299.

So, the HCF of  676, 377, and 299. is 13

So,

The highest number that divides 1259, 1558 and 1935 and leaves the same remainder is 13.

Hope this helps