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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 346 · 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 105 and 135.
  2. 2.The HCF of two numbers is 7 and their LCM is 168. One of the numbers is 21. What is the other number?
  3. 3.Find the LCM of 9 and 21.
  4. 4.Find the HCF of 25 and 45.
  5. 5.The HCF of two numbers is 8 and their LCM is 288. One of the numbers is 32. What is the other number?
  6. 6.Find the HCF of 120 and 105.
  7. 7.Find the HCF of 14 and 21.
  8. 8.Find the HCF of 6 and 27.
  9. 9.Find the HCF of 10 and 16.
  10. 10.The HCF of two numbers is 5 and their LCM is 225. One of the numbers is 45. What is the other number?
  11. 11.Find the LCM of 10, 5 and 12.
  12. 12.The HCF of two numbers is 8 and their LCM is 576. One of the numbers is 72. What is the other number?
  13. 13.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 27. What is the other number?
  14. 14.Find the LCM of 15, 2 and 10.
  15. 15.Find the HCF of 112 and 70.
  16. 16.Find the LCM of 6, 12 and 2.
  17. 17.Find the LCM of 2, 11 and 12.
  18. 18.Find the HCF of 49 and 56.
  19. 19.Find the LCM of 12, 8 and 15.
  20. 20.Find the LCM of 20 and 12.
  21. 21.Find the LCM of 10, 3 and 14.
  22. 22.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 16. What is the other number?
  23. 23.Find the HCF of 14 and 16.
  24. 24.Find the HCF of 20 and 15.
  25. 25.Find the HCF of 18 and 8.
  26. 26.Find the LCM of 6 and 4.
  27. 27.Find the LCM of 8, 4 and 13.
  28. 28.Find the LCM of 4, 3 and 6.
  29. 29.Find the LCM of 12 and 18.
  30. 30.Find the LCM of 20 and 32.
  31. 31.Find the LCM of 40 and 45.
  32. 32.Find the LCM of 6, 12 and 10.
  33. 33.Find the LCM of 54 and 48.
  34. 34.Find the HCF of 60 and 24.
  35. 35.Find the HCF of 64 and 24.
  36. 36.Find the LCM of 3, 2 and 7.
  37. 37.Find the LCM of 20 and 45.
  38. 38.Find the HCF of 4 and 6.
  39. 39.Find the HCF of 50 and 60.
  40. 40.The HCF of two numbers is 9 and their LCM is 135. One of the numbers is 27. What is the other number?

Answer key

  1. 15
  2. 56
  3. 63
  4. 5
  5. 72
  6. 15
  7. 7
  8. 3
  9. 2
  10. 25
  11. 60
  12. 64
  13. 72
  14. 30
  15. 14
  16. 12
  17. 132
  18. 7
  19. 120
  20. 60
  21. 210
  22. 14
  23. 2
  24. 5
  25. 2
  26. 12
  27. 104
  28. 12
  29. 36
  30. 160
  31. 360
  32. 60
  33. 432
  34. 12
  35. 8
  36. 42
  37. 180
  38. 2
  39. 10
  40. 45

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