Question

Find the greatest number which divides 1614and 2077 leaving a remainder of 4 and 7 respectively

Answer 1

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Correct option is

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17

The number divides 399,434 and 537 leaving the remainder 8,9 and 10.

So, that number will divide (399−8),(434−9) and (537−10) completely.

Now, the greatest number that will divide 391,425 and 527 completely, is the H.C.F. of these numbers.

391=17×23

425=5×5×17

527=17×31

H.C.F. 17