Greatest number which divides 926 and 2313 leaving 2 and 3 remainders respectively is ........

Quantitative Aptitiude (CLAT) LCM, HCF

Greatest number which divides 926 and 2313, leaving 2 and 3 remainders, respectively, is

152

154

Explanation:

Let the number be x.
x should divide 926 by leaving a remainder of 2.
So that means x will be a factor of 926–2 = 924.
Similarly, x should be a factor of 2313–3=2310.
Since we want the greatest number which is a factor of both 924 and 2310, we try to find their HCF.
x = HCF(924,2310) = 462.
462 is divisible by only 154.
Hence, option 4 is the correct answer.