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      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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