# Find The Greatest number ?

Find the greatest number that will divide 400, 435 and 541 leaving 9, 10 and 14 as remainders respectively.

- 13
- 19
- 17
- 9

**Answer: (3) 17**

**Explanation:-
**Then, the new numbers are 400 – 9 = 391, 435 – 10 = 425 and 541 – 14 = 527

The factors of 391 = 17 x 23

The factors of 425 = 5 x 5 x 17

The factors of 527 = 17 x 31

Then, the H C F of 391, 425 and 527 = 17

17 is the greatest number that will divide 400, 435 and 541 leaving remainder9, 10 and 14 as remainders respectively.

Hence, the answer is (3) 17.