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Three pieces of aluminium rod of different lengths, , and respectively, are given to a boy. He has to cut them into rods of same length such that no aluminium waste is left. The maximum length (in cm) of such rod will be:

  1. A
  2. B
  3. C
  4. D

Solution & Step-by-step Explanation

To find the maximum length of the rod that can divide all three without leaving any waste, we must calculate the Highest Common Factor () of the lengths , , and :Prime factors of Prime factors of Prime factors of The common prime factor is .Therefore, .

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Three pieces of aluminium rod of different lengths, , and respectively, are given to a boy. He has to cut them into rods of same length such that no aluminium waste is left. The maximum length (in cm) of such rod will be:
A
B
C
D

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