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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 6 · 40 questions
TalentJR

The method (Prime factors): Write each number as a product of primes: 36 = 2 × 2 × 3 × 3. HCF: multiply the primes the numbers share (each as many times as it appears in both). LCM: take every prime the greatest number of times it appears. For two numbers, HCF × LCM = first number × second number.

NameDateTime takenScore ___ / 40
  1. 1.Find the HCF of 40 and 15.
  2. 2.The HCF of two numbers is 8 and their LCM is 168. One of the numbers is 56. What is the other number?
  3. 3.The HCF of two numbers is 8 and their LCM is 576. One of the numbers is 72. What is the other number?
  4. 4.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 6. What is the other number?
  5. 5.Find the HCF of 35 and 49.
  6. 6.Find the LCM of 9, 4 and 12.
  7. 7.Find the HCF of 45 and 40.
  8. 8.Find the HCF of 35 and 25.
  9. 9.Find the LCM of 6 and 8.
  10. 10.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 10. What is the other number?
  11. 11.The HCF of two numbers is 7 and their LCM is 105. One of the numbers is 35. What is the other number?
  12. 12.Find the LCM of 7 and 2.
  13. 13.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 27. What is the other number?
  14. 14.Find the LCM of 10, 8 and 2.
  15. 15.Find the LCM of 10 and 14.
  16. 16.Find the LCM of 4 and 7.
  17. 17.Find the LCM of 4, 7 and 14.
  18. 18.Find the HCF of 20 and 12.
  19. 19.The HCF of two numbers is 8 and their LCM is 280. One of the numbers is 56. What is the other number?
  20. 20.Find the HCF of 36 and 32.
  21. 21.Find the HCF of 99 and 22.
  22. 22.Find the LCM of 4 and 6.
  23. 23.Find the LCM of 8, 9 and 4.
  24. 24.Find the LCM of 12, 9 and 5.
  25. 25.Find the HCF of 20 and 15.
  26. 26.Find the HCF of 15 and 18.
  27. 27.Find the HCF of 36 and 45.
  28. 28.Find the LCM of 16 and 6.
  29. 29.Find the HCF of 99 and 88.
  30. 30.Find the LCM of 6, 4 and 14.
  31. 31.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 18. What is the other number?
  32. 32.Find the LCM of 8 and 36.
  33. 33.Find the LCM of 2 and 9.
  34. 34.Find the LCM of 4, 10 and 11.
  35. 35.Find the LCM of 40 and 35.
  36. 36.Find the LCM of 28 and 8.
  37. 37.Find the HCF of 50 and 20.
  38. 38.Find the HCF of 32 and 40.
  39. 39.Find the LCM of 10 and 25.
  40. 40.Find the HCF of 105 and 45.

Answer key

  1. 5
  2. 24
  3. 64
  4. 10
  5. 7
  6. 36
  7. 5
  8. 5
  9. 24
  10. 45
  11. 21
  12. 14
  13. 6
  14. 40
  15. 70
  16. 28
  17. 28
  18. 4
  19. 40
  20. 4
  21. 11
  22. 12
  23. 72
  24. 180
  25. 5
  26. 3
  27. 9
  28. 48
  29. 11
  30. 84
  31. 42
  32. 72
  33. 18
  34. 220
  35. 280
  36. 56
  37. 10
  38. 8
  39. 50
  40. 15

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