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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 693 · 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 6 and 14.
  2. 2.Find the LCM of 10, 9 and 4.
  3. 3.Find the HCF of 6 and 10.
  4. 4.Find the HCF of 80 and 50.
  5. 5.Find the HCF of 56 and 49.
  6. 6.Find the LCM of 9 and 15.
  7. 7.Find the LCM of 5, 13 and 15.
  8. 8.Find the LCM of 7, 6 and 2.
  9. 9.Find the HCF of 24 and 27.
  10. 10.Find the LCM of 4 and 9.
  11. 11.Find the LCM of 25 and 45.
  12. 12.Find the LCM of 6, 3 and 7.
  13. 13.Find the LCM of 5, 2 and 6.
  14. 14.Find the HCF of 75 and 90.
  15. 15.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 6. What is the other number?
  16. 16.Find the LCM of 16 and 10.
  17. 17.Find the LCM of 4, 9 and 6.
  18. 18.Find the LCM of 6, 4 and 12.
  19. 19.Find the HCF of 30 and 12.
  20. 20.Find the HCF of 64 and 24.
  21. 21.The HCF of two numbers is 4 and their LCM is 120. One of the numbers is 20. What is the other number?
  22. 22.Find the LCM of 30 and 25.
  23. 23.Find the LCM of 12 and 16.
  24. 24.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 16. What is the other number?
  25. 25.Find the LCM of 16 and 6.
  26. 26.Find the LCM of 15 and 35.
  27. 27.Find the LCM of 5 and 9.
  28. 28.Find the LCM of 7 and 2.
  29. 29.Find the LCM of 14 and 6.
  30. 30.Find the HCF of 63 and 14.
  31. 31.Find the LCM of 27 and 12.
  32. 32.Find the LCM of 36 and 28.
  33. 33.The HCF of two numbers is 4 and their LCM is 120. One of the numbers is 24. What is the other number?
  34. 34.Find the LCM of 4, 2 and 12.
  35. 35.Find the LCM of 2 and 9.
  36. 36.Find the LCM of 12 and 28.
  37. 37.Find the LCM of 3 and 7.
  38. 38.Find the HCF of 105 and 30.
  39. 39.Find the LCM of 20 and 32.
  40. 40.The HCF of two numbers is 8 and their LCM is 320. One of the numbers is 64. What is the other number?

Answer key

  1. 2
  2. 180
  3. 2
  4. 10
  5. 7
  6. 45
  7. 195
  8. 42
  9. 3
  10. 36
  11. 225
  12. 42
  13. 30
  14. 15
  15. 9
  16. 80
  17. 36
  18. 12
  19. 6
  20. 8
  21. 24
  22. 150
  23. 48
  24. 10
  25. 48
  26. 105
  27. 45
  28. 14
  29. 42
  30. 7
  31. 108
  32. 252
  33. 20
  34. 12
  35. 18
  36. 84
  37. 21
  38. 15
  39. 160
  40. 40

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