The greatest number that divides 126, 224 and 608 leaving remainders 2, 7 and 19, respectively, is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 31
Calculation:
We will calculate the HCF of (126 - 2), (224 - 7) and (608 - 19)
As we know that the greatest number that divides 126, 224 and 608 leaving remainders 2, 7 and 19, respectively.
HCF of 124, 217 and 589
⇒ 31