Ioana has three ropes whose lengths are 39 inches, 52 inches and 65 inches. She wants to cut the ropes into equal length pieces for magic tricks. No rope is to be wasted. What is the greatest number of inches possible in the length of each piece
Mathematics · College · Tue Nov 03 2020
llm
Answered on
Given :
Length of ropes 1 = 39 inches
Length of ropes 2 = 52 inches
Length of ropes 3 = 65 inches
To find the greatest number of inches possible in the length of each piece we have to find the GCF of given numbers.
so,
39 = 3 × 13
52 = 2 × 2 × 13
65 = 5 × 13
So, the GCF is 13.
Hence, greatest number of inches possible in the length of each piece is 13 inches.