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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 1 · 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 108 and 24.
  2. 2.Find the LCM of 13, 6 and 2.
  3. 3.Find the HCF of 77 and 33.
  4. 4.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 21. What is the other number?
  5. 5.Find the LCM of 3, 8 and 9.
  6. 6.Find the LCM of 12 and 10.
  7. 7.Find the LCM of 10, 3 and 4.
  8. 8.Find the LCM of 3 and 7.
  9. 9.Find the LCM of 7, 9 and 6.
  10. 10.Find the HCF of 64 and 40.
  11. 11.The HCF of two numbers is 6 and their LCM is 120. One of the numbers is 30. What is the other number?
  12. 12.Find the HCF of 56 and 42.
  13. 13.Find the LCM of 42 and 12.
  14. 14.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 12. What is the other number?
  15. 15.Find the LCM of 14 and 8.
  16. 16.Find the LCM of 4, 14 and 5.
  17. 17.Find the HCF of 6 and 8.
  18. 18.Find the LCM of 7 and 9.
  19. 19.Find the HCF of 25 and 45.
  20. 20.Find the LCM of 5, 4 and 7.
  21. 21.Find the LCM of 12, 9 and 6.
  22. 22.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 27. What is the other number?
  23. 23.Find the HCF of 112 and 42.
  24. 24.Find the LCM of 5, 15 and 14.
  25. 25.Find the LCM of 14 and 4.
  26. 26.Find the HCF of 72 and 32.
  27. 27.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 6. What is the other number?
  28. 28.Find the LCM of 2, 7 and 3.
  29. 29.Find the HCF of 90 and 75.
  30. 30.Find the LCM of 12 and 21.
  31. 31.Find the HCF of 16 and 40.
  32. 32.Find the LCM of 30 and 18.
  33. 33.Find the HCF of 18 and 42.
  34. 34.Find the HCF of 96 and 60.
  35. 35.Find the HCF of 30 and 70.
  36. 36.Find the LCM of 4, 8 and 6.
  37. 37.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 20. What is the other number?
  38. 38.Find the LCM of 21 and 6.
  39. 39.Find the HCF of 14 and 18.
  40. 40.Find the LCM of 7 and 3.

Answer key

  1. 12
  2. 78
  3. 11
  4. 14
  5. 72
  6. 60
  7. 60
  8. 21
  9. 126
  10. 8
  11. 24
  12. 14
  13. 84
  14. 42
  15. 56
  16. 140
  17. 2
  18. 63
  19. 5
  20. 140
  21. 36
  22. 24
  23. 14
  24. 210
  25. 28
  26. 8
  27. 10
  28. 42
  29. 15
  30. 84
  31. 8
  32. 90
  33. 6
  34. 12
  35. 10
  36. 24
  37. 8
  38. 42
  39. 2
  40. 21

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