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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 656 · 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 LCM of 12, 15 and 2.
  2. 2.Find the HCF of 91 and 117.
  3. 3.Find the LCM of 24 and 9.
  4. 4.Find the LCM of 5, 15 and 6.
  5. 5.Find the LCM of 8 and 3.
  6. 6.Find the HCF of 32 and 24.
  7. 7.Find the LCM of 25 and 35.
  8. 8.Find the LCM of 9, 14 and 7.
  9. 9.Find the HCF of 16 and 36.
  10. 10.The HCF of two numbers is 9 and their LCM is 315. One of the numbers is 63. What is the other number?
  11. 11.Find the HCF of 25 and 10.
  12. 12.Find the LCM of 3, 2 and 12.
  13. 13.Find the HCF of 15 and 27.
  14. 14.Find the LCM of 8 and 14.
  15. 15.Find the HCF of 40 and 72.
  16. 16.Find the LCM of 10 and 35.
  17. 17.Find the LCM of 14, 6 and 7.
  18. 18.Find the LCM of 4, 6 and 7.
  19. 19.Find the LCM of 2, 5 and 7.
  20. 20.Find the LCM of 45 and 25.
  21. 21.Find the HCF of 8 and 12.
  22. 22.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 14. What is the other number?
  23. 23.Find the LCM of 13, 2 and 4.
  24. 24.Find the HCF of 8 and 6.
  25. 25.Find the LCM of 8 and 5.
  26. 26.Find the HCF of 70 and 56.
  27. 27.Find the LCM of 20 and 15.
  28. 28.Find the LCM of 9 and 15.
  29. 29.Find the HCF of 20 and 8.
  30. 30.Find the LCM of 30 and 42.
  31. 31.Find the LCM of 54 and 12.
  32. 32.Find the LCM of 12 and 18.
  33. 33.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 16. What is the other number?
  34. 34.Find the LCM of 30 and 25.
  35. 35.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 21. What is the other number?
  36. 36.Find the LCM of 2, 12 and 10.
  37. 37.Find the LCM of 21 and 27.
  38. 38.Find the LCM of 28 and 36.
  39. 39.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 10. What is the other number?
  40. 40.Find the HCF of 25 and 30.

Answer key

  1. 60
  2. 13
  3. 72
  4. 30
  5. 24
  6. 8
  7. 175
  8. 126
  9. 4
  10. 45
  11. 5
  12. 12
  13. 3
  14. 56
  15. 8
  16. 70
  17. 42
  18. 84
  19. 70
  20. 225
  21. 4
  22. 35
  23. 52
  24. 2
  25. 40
  26. 14
  27. 60
  28. 45
  29. 4
  30. 210
  31. 108
  32. 36
  33. 24
  34. 150
  35. 18
  36. 60
  37. 189
  38. 252
  39. 4
  40. 5

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