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.