3 wires with lengths of 32 cm, 24 cm and 16 cm are to be cut into pieces with the same length (with no wire left over)What is the greatest possible length of each piece of wire?
What is the greatest common factor of 32, 24, and 16?
192
No.
The factors of 32 are:
1, 32, 2, 16, 4, 8
Now, list the factors of 24 and 16.
http://www.mathsisfun.com/greatest-common-factor.html
8 is the greatest common factor
Yes. The greatest possible length of each piece is 8 cm.
To find the greatest possible length of each piece of wire, we need to find the greatest common divisor (GCD) of the given wire lengths.
Step 1: Calculate the GCD of the wire lengths.
To find the GCD, we can use the Euclidean algorithm:
GCD(32, 24) = 8
GCD(8, 16) = 8
Therefore, the GCD of the wire lengths is 8.
Step 2: Divide each wire length by the GCD.
32 cm ÷ 8 = 4 cm
24 cm ÷ 8 = 3 cm
16 cm ÷ 8 = 2 cm
So, the greatest possible length of each piece of wire is 4 cm.