The greatest number that on dividing 2675 and 2320 leaves the remainders 5 and 6, respectively , is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 178.
The greatest number on dividing 2675 and 2320 leaves the remainder 5 and 6 respectively.
HCF is the largest number or quantity that is a factor of each member of a group of numbers.
The greatest number that on dividing 2675 and 2320 leaves the remainder 5 and 6 respectively is = HCF of (2675 - 5) i.e., 2370, and (2320 - 6) i.e., 2314
2670 = 178 × 15
2314 = 178 × 13
HCF (2670, 2314) = 178