The greatest number, which divides 2248 and 1761 to leave 3 and 1 respectively as remainders, is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 5.
Let the required number be x
2248 ÷ x leaves 3 → 2248 − 3 = 2245
1761 ÷ x leaves 1 → 1761 − 1 = 1760
So, x divides 2245 and 1760
HCF of 2245 and 1760
2245 = 5 × 449
1760 = 25 × 5 × 11
Common facter = 5