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HCF & LCM · Question 10 of 63

Question 10

EasyOriginal question

What is the HCF of 24×32×52^4 \times 3^2 \times 5, 22×33×72^2 \times 3^3 \times 7 and 23×3×522^3 \times 3 \times 5^2?

Options for question 10

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. Only 2 and 3 appear in all three numbers.

  2. Lowest powers: 222^2 and 313^1.

  3. HCF⁡=4×3=12\operatorname{HCF} = 4 \times 3 = 12.

Worth noting

5 does not appear in the second number, so it cannot be in the HCF; that rules out 60.

Concept
HCF from prime-power form
Typical time
40 s
Your time
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The rule this testsFinding HCF and LCM
Practise this chapter →

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

Practise this chapter →

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