The greatest number, which divides 2340 and 1551 to leave 40 and 33 respectively as remainders, is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 46 .
Let the greatest number be N
It leaves remainders 40 and 33
So N divides (2340 − 40) = 2300 and (1551 − 33) = 1518
find HCF of 2300 and 1518
2300 = 22 × 52 × 23
1518 = 2 × 3 × 11 × 23
HCF = product of common prime factors
= 2 × 23 = 46