Nisha has 28 inches long red ribbon and 36 inches long green ribbon. For a craft project, she needs both colored ribbon pieces of equal lengths. What is the greatest length she can have for each piece assuming that all ribbon is used?
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Given,
The length of red ribbon = 28 inches
The length of green ribbon = 36 inches
To find,
The greatest equal length that she can have for making tha project.
Solution,
We can simply solve this mathematical problem by calculating the HCF or Highest Common Factor of the given lengths of the ribbons.
HCF or Highest Common Factor of the given lengths =
Prime factorization :
28 = 2 × 2 × 7
36 = 2 × 2 × 3 × 3
Common factors = 2,2
HCF or Highest Common Factor = 2×2 = 4 inches
(This length can divide the red river into equal 7 pieces and green ribbon into equal 9 pieces.)
Hence, the largest length will be 4 inches.
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