SSC CGL 2022 PYQ — Question 52

SSC CGL - 02 Dec 2022 - Shift 1 • Quantitative Aptitude • Q52

What is the largest common divisor of the numbers 1026, 2268, and 2430?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 54.

Concept used:

Largest common divisor is Highest common multiple

Calculations:

HCF of 1026, 2268, and 2430

Factors of 1026 = 2 × 3 × 3 × 3 × 19

Factors of 2268 = 2 × 2 × 3 × 3 × 3 × 3 × 7

Factors of 2430 = 3 × 3 × 3 × 3 × 3 × 2 × 5

Hence, the common factors = 2 × 3 × 3 × 3 = 54

Therefore, the largest common divisor is 54.