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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 627 · 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 120 and 75.
  2. 2.Find the LCM of 9 and 5.
  3. 3.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 20. What is the other number?
  4. 4.Find the HCF of 81 and 63.
  5. 5.Find the LCM of 10 and 35.
  6. 6.Find the LCM of 8, 14 and 3.
  7. 7.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 27. What is the other number?
  8. 8.Find the HCF of 45 and 40.
  9. 9.Find the HCF of 77 and 55.
  10. 10.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 18. What is the other number?
  11. 11.Find the LCM of 7 and 2.
  12. 12.Find the LCM of 6, 13 and 3.
  13. 13.Find the LCM of 24 and 15.
  14. 14.Find the LCM of 45 and 40.
  15. 15.Find the HCF of 36 and 24.
  16. 16.Find the LCM of 5, 10 and 3.
  17. 17.Find the LCM of 5, 4 and 6.
  18. 18.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 14. What is the other number?
  19. 19.Find the LCM of 42 and 48.
  20. 20.Find the HCF of 56 and 35.
  21. 21.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 8. What is the other number?
  22. 22.Find the HCF of 24 and 15.
  23. 23.Find the LCM of 16 and 18.
  24. 24.Find the HCF of 8 and 12.
  25. 25.Find the HCF of 8 and 18.
  26. 26.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 49. What is the other number?
  27. 27.Find the LCM of 3, 10 and 5.
  28. 28.The HCF of two numbers is 8 and their LCM is 168. One of the numbers is 24. What is the other number?
  29. 29.Find the LCM of 32 and 20.
  30. 30.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 14. What is the other number?
  31. 31.Find the LCM of 5, 6 and 10.
  32. 32.Find the LCM of 9 and 7.
  33. 33.Find the LCM of 24 and 42.
  34. 34.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 15. What is the other number?
  35. 35.Find the LCM of 12, 5 and 2.
  36. 36.Find the LCM of 42 and 12.
  37. 37.Find the HCF of 20 and 12.
  38. 38.Find the HCF of 18 and 8.
  39. 39.Find the HCF of 70 and 42.
  40. 40.Find the LCM of 10, 12 and 15.

Answer key

  1. 15
  2. 45
  3. 36
  4. 9
  5. 70
  6. 168
  7. 6
  8. 5
  9. 11
  10. 48
  11. 14
  12. 78
  13. 120
  14. 360
  15. 12
  16. 30
  17. 60
  18. 16
  19. 336
  20. 7
  21. 36
  22. 3
  23. 144
  24. 4
  25. 2
  26. 14
  27. 30
  28. 56
  29. 160
  30. 63
  31. 30
  32. 63
  33. 168
  34. 24
  35. 60
  36. 84
  37. 4
  38. 2
  39. 14
  40. 60

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