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HCF & LCM · Question 50 of 63

Question 50

MediumOriginal question

Three ribbons are 3.6 m, 4.8 m and 7.2 m long. They are cut into pieces of equal length, the longest possible, with no ribbon left over. How many pieces are obtained in all?

Options for question 50

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. In cm: 360, 480, 720. Longest piece = HCF(360, 480, 720) = 120 cm.

  2. Pieces = 360÷120+480÷120+720÷120=3+4+6360 \div 120 + 480 \div 120 + 720 \div 120 = 3 + 4 + 6.

  3. Total = 13 pieces.

Worth noting

26, 39 and 52 come from 60 cm, 40 cm and 30 cm pieces, which also leave no waste but are not the longest.

Concept
HCF for the longest equal pieces
Typical time
75 s
Your time
—
The rule this testsHCF and LCM word problems
Practise this chapter →

Ten questions from HCF & LCM, at your own pace.

Practise this chapter →

Ten questions from HCF & LCM, at your own pace.