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HCF & LCM · Question 23 of 63

Question 23

MediumOriginal question

Using the division method, find the HCF of 2,664 and 4,440.

Options for question 23

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. 4440=1×2664+17764440 = 1 \times 2664 + 1776.

  2. 2664=1×1776+8882664 = 1 \times 1776 + 888.

  3. 1776=2×888+01776 = 2 \times 888 + 0.

  4. The last non-zero remainder is 888.

Worth noting

444 and 222 divide both numbers too, but they are common factors, not the HIGHEST one.

Concept
HCF by repeated division (Euclid's method)
Typical time
60 s
Your time
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The rule this testsFinding HCF and LCM
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Ten questions from HCF & LCM, at your own pace.

Practise this chapter →

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