Question

    Find the highest common divisor of 1080, 2700, and

    6480.
    A 540 Correct Answer Incorrect Answer
    B 495 Correct Answer Incorrect Answer
    C 290 Correct Answer Incorrect Answer
    D 284 Correct Answer Incorrect Answer

    Solution

    ATQ, Prime Factorizations 1080  = 23 × 33 × 5   2700  = 22 × 33 × 52   6480  = 24 × 34 × 5

    Take lowest powers of common primes

    HCF = 22 × 33 × 5 = 4 × 27 × 5 = 540

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