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
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, .