Question

Carmen has two pieces of wire, one 14 feet long and the other 6 feet long. If she wants to cut them up to produce many pieces of wire that are all of the same length, with no wire left over, what is the greatest length, in feet, that she can make them?

please show me how to do greatest common factor

Answer 1

The greatest length she can make from the two pieces is 2 feet

Answer 2

Answer: the greatest length she can make from the two pieces is 2 feet.

Step-by-step explanation:

To find the greatest length of wire that Carmen can make from the two pieces, we need to find the greatest common divisor (GCD) of the two lengths.

We can start by finding the factors of each length:

14: 1, 2, 7, 14

6: 1, 2, 3, 6

The common factors are 1 and 2. The greatest common factor is therefore 2.

This means that Carmen can cut both pieces of wire into lengths of 2 feet without any wire left over. So the greatest length she can make from the two pieces is 2 feet.