Correct Answer - Option 2 : 127
Given:
Numbers = 1661, 2045
Remainder = 10, 13
Concept Used:
For greatest divisor we have to find HCF, HCF is the highest common factors of the numbers.
Calculation:
When 1661 is divided by the greatest number, remainder = 10
The completely divisible number = 1661 – 10
⇒ 1651
When 2045 is divided by the greatest number, remainder = 10
The completely divisible number = 2045 – 13
⇒ 2032
Now, For greatest divisor we have to calculate HCF of 1651 and 2032
1651 = 13 × 127
2032 = 24 × 127
HCF of 1651 and 2032 is 127
∴ 127 is the greatest number which on dividing 1661 and 2045, leaves a reminder of 10 and 13 respectively.
