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Class 5–6 Maths: HCF practice questions

Practise hcf for Classes 5 and 6. Try the 10-question quiz below and see each answer explained straight away, then read all 12 worked examples with answers underneath. Free, no sign-up.

HCF: worked examples with answers

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1. What is the HCF (highest common factor) of 9 and 15?

   1. A. 3 ✓
   2. B. 5
   3. C. 6
   4. D. 4

   Answer: 3. The largest number that divides both 9 and 15 is 3.

2. What is the HCF (highest common factor) of 40 and 72?

   1. A. 9
   2. B. 16
   3. C. 5
   4. D. 8 ✓

   Answer: 8. The largest number that divides both 40 and 72 is 8.

3. What is the HCF (highest common factor) of 40 and 24?

   1. A. 5
   2. B. 8 ✓
   3. C. 9
   4. D. 120

   Answer: 8. The largest number that divides both 40 and 24 is 8.

4. What is the HCF (highest common factor) of 14 and 35?

   1. A. 70
   2. B. 7 ✓
   3. C. 8
   4. D. 5

   Answer: 7. The largest number that divides both 14 and 35 is 7.

5. What is the HCF (highest common factor) of 18 and 15?

   1. A. 4
   2. B. 90
   3. C. 3 ✓
   4. D. 6

   Answer: 3. The largest number that divides both 18 and 15 is 3.

6. What is the HCF (highest common factor) of 28 and 21?

   1. A. 7 ✓
   2. B. 4
   3. C. 3
   4. D. 14

   Answer: 7. The largest number that divides both 28 and 21 is 7.

7. What is the HCF (highest common factor) of 63 and 28?

   1. A. 252
   2. B. 7 ✓
   3. C. 8
   4. D. 9

   Answer: 7. The largest number that divides both 63 and 28 is 7.

8. What is the HCF (highest common factor) of 4 and 10?

   1. A. 2 ✓
   2. B. 3
   3. C. 20
   4. D. 4

   Answer: 2. The largest number that divides both 4 and 10 is 2.

9. What is the HCF (highest common factor) of 72 and 16?

   1. A. 2
   2. B. 144
   3. C. 16
   4. D. 8 ✓

   Answer: 8. The largest number that divides both 72 and 16 is 8.

10. What is the HCF (highest common factor) of 24 and 40?

    1. A. 9
    2. B. 8 ✓
    3. C. 16
    4. D. 120

    Answer: 8. The largest number that divides both 24 and 40 is 8.

11. What is the HCF (highest common factor) of 32 and 24?

    1. A. 3
    2. B. 16
    3. C. 4
    4. D. 8 ✓

    Answer: 8. The largest number that divides both 32 and 24 is 8.

12. What is the HCF (highest common factor) of 28 and 20?

    1. A. 140
    2. B. 5
    3. C. 4 ✓
    4. D. 7

    Answer: 4. The largest number that divides both 28 and 20 is 4.

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