# What is the Greatest Number in Equation

The greatest number that will divide 729 and 901 leaving remainders 9 and 5 respectively, is

- 15
- 16
- 19
- 20

**Answer: (2) 16**

**Explanation:-**

New number = 729 – 9 = 720

and = 901 – 5 = 896

The HCF of 720 and 896

Factors of 720 = 2 x 2 x 2 x 2 x 3 x 3 x 5

Factors of 896 = 2 x 2 x 2 x2 x 2 x 2 x 2 x 7

The HCF of 720 and 896 = 2 x 2 x 2 x 2 = 16

Hence, the answer is (2) 16.