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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┬а = 23 ├Ч 33 ├Ч 5┬а┬а 2700┬а = 22 ├Ч 33 ├Ч 52┬а┬а 6480┬а = 24 ├Ч 34 ├Ч 5

      Take lowest powers of common primes

      HCF = 22 ├Ч 33 ├Ч 5 = 4 ├Ч 27 ├Ч 5 = 540

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