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HCF & LCM · Question 24 of 63

Question 24

MediumOriginal question

What is the HCF of 391, 667 and 1,219?

Options for question 24

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. 391=17×23391 = 17 \times 23.

  2. 667=23×29667 = 23 \times 29.

  3. 1219=23×531219 = 23 \times 53.

  4. The only prime common to all three is 23.

Worth noting

17 divides only 391, and 13 divides none of them. It is tempting to answer 1 when no small prime divides all three, but they share the larger prime 23.

Concept
HCF of three numbers
Typical time
75 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.