The greatest number that divides 126 124 and 608 leaving remainders 2 7 and 19 respectively is ........

Quantitative Aptitude (CGL) Number System

The greatest number that divides 126, 124 and 608 leaving remainders 2, 7 and 19. respectively, is:

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SSC CGL 18th April 2022 Shift-1

To find the greatest number that divides the given numbers with specified remainders, you calculate the differences:

- 126 - 2 = 124

- 124 - 7 = 117

- 608 - 19 = 589

Now, find the greatest common divisor (GCD) of these differences (124, 117, 589):

- GCD(124, 117, 589) = 31

Answer: Option 2: 31

- This number (31) divides the differences and provides the needed remainders.

- Option 1: 27 doesn’t divide any difference completely.

- Option 3: 21 isn’t a divisor with required conditions.

- Option 4: 37 is greater and doesn’t divide differences correctly.

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