two pipes with lengths of 42 inches and 54 inches respectively are to be cut in pieces of equal lengths. what is the greatest possible length of these pieces so that no part of either pipe is left over in inches

6

Step-by-step explanation:

Since we are informed that two pipes with lengths of 42 inches and 54 inches respectively are to be cut in pieces of equal lengths and we want to know the number of pieces that they can be cut into.

This question simply means that we need to find the factors of both 42 and 54 and choose the highest.

42 = 1, 2, 3, 6, 7, 14, 21, and 42.

54 = 1, 2, 3, 6, 9, 18, 27, and 54.

Therefore, the highest common factor is 6. Therefore, the greatest possible length will be 6 inches