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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 156 · 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 33 and 44.
  2. 2.Find the HCF of 21 and 27.
  3. 3.Find the LCM of 2, 12 and 10.
  4. 4.Find the HCF of 36 and 45.
  5. 5.Find the HCF of 24 and 9.
  6. 6.Find the LCM of 5, 4 and 10.
  7. 7.Find the HCF of 64 and 72.
  8. 8.Find the HCF of 10 and 45.
  9. 9.Find the LCM of 4, 10 and 15.
  10. 10.Find the LCM of 6, 7 and 3.
  11. 11.Find the HCF of 24 and 21.
  12. 12.Find the LCM of 5 and 6.
  13. 13.Find the LCM of 48 and 54.
  14. 14.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 16. What is the other number?
  15. 15.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 24. What is the other number?
  16. 16.Find the LCM of 40 and 25.
  17. 17.The HCF of two numbers is 5 and their LCM is 210. One of the numbers is 30. What is the other number?
  18. 18.Find the LCM of 5, 7 and 10.
  19. 19.Find the HCF of 65 and 26.
  20. 20.The HCF of two numbers is 8 and their LCM is 320. One of the numbers is 40. What is the other number?
  21. 21.Find the LCM of 9, 11 and 6.
  22. 22.Find the LCM of 7 and 2.
  23. 23.Find the LCM of 12 and 15.
  24. 24.Find the HCF of 81 and 45.
  25. 25.Find the LCM of 24 and 54.
  26. 26.Find the HCF of 80 and 30.
  27. 27.Find the LCM of 30 and 25.
  28. 28.Find the LCM of 2, 12 and 4.
  29. 29.Find the LCM of 7, 14 and 11.
  30. 30.Find the LCM of 25 and 40.
  31. 31.Find the LCM of 18 and 16.
  32. 32.Find the LCM of 3, 9 and 7.
  33. 33.Find the LCM of 20 and 36.
  34. 34.Find the LCM of 12 and 20.
  35. 35.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 6. What is the other number?
  36. 36.Find the HCF of 39 and 65.
  37. 37.Find the LCM of 18 and 48.
  38. 38.Find the LCM of 12 and 16.
  39. 39.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 20. What is the other number?
  40. 40.The HCF of two numbers is 3 and their LCM is 189. One of the numbers is 21. What is the other number?

Answer key

  1. 11
  2. 3
  3. 60
  4. 9
  5. 3
  6. 20
  7. 8
  8. 5
  9. 60
  10. 42
  11. 3
  12. 30
  13. 432
  14. 28
  15. 18
  16. 200
  17. 35
  18. 70
  19. 13
  20. 64
  21. 198
  22. 14
  23. 60
  24. 9
  25. 216
  26. 10
  27. 150
  28. 12
  29. 154
  30. 200
  31. 144
  32. 63
  33. 180
  34. 60
  35. 21
  36. 13
  37. 144
  38. 48
  39. 36
  40. 27

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