Question

The greatest integer which when dividing the integers 13511, 13903, 14593 leaves tge same remainder is

Answer 1

Answer:

2

Step-by-step explanation:

The greatest integer which when dividing the integers 13511, 13903, 14593 leaves the same remainder is

Let say R is the reminder

& Greatest integer = N

NA  + R  = 13511

NB  + R = 13903

NC  + R  = 14593

=> NB - NA = 392

=> N (B - A) = 392

Similarly

N (C - A) = 1082

&N(C - B) = 690

=> N is the Common factor of     392 , 690  & 1082

392 = 2 * 2 * 2 * 7 * 7

690 = 2 * 3 *  5 * 23

1082 = 2 * 541

Common Factor = 2

Hence Greatest integer = 2  

which when dividing the integers 13511, 13903, 14593 leaves the same remainder

Answer 2

Answer:

2 is the correct answer.