# Find the greatest number which on dividing 1661 and 2045, leaves a remainder of 10 and 13 respectively ?

Find the greatest number which on dividing 1661 and 2045, leaves a remainder of 10 and 13 respectively ?

A. 91

B. 127

C. 137

D. 140

**Answer : **B . 127

## Explanation:

In this type of question, we need to calculate the HCF, trick is,

HCF (1661 – 10) and (2045 -13)

= HCF (1651, 2032)

= 127