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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 496 · 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 32 and 24.
  2. 2.Find the LCM of 12 and 27.
  3. 3.Find the LCM of 48 and 30.
  4. 4.Find the LCM of 6, 4 and 12.
  5. 5.Find the LCM of 11, 6 and 2.
  6. 6.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 45. What is the other number?
  7. 7.Find the LCM of 13, 2 and 4.
  8. 8.Find the LCM of 42 and 24.
  9. 9.Find the LCM of 2 and 3.
  10. 10.Find the HCF of 60 and 96.
  11. 11.Find the LCM of 5, 15 and 4.
  12. 12.Find the LCM of 8, 13 and 4.
  13. 13.Find the HCF of 10 and 8.
  14. 14.Find the HCF of 80 and 50.
  15. 15.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 40. What is the other number?
  16. 16.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 35. What is the other number?
  17. 17.Find the LCM of 16 and 18.
  18. 18.Find the HCF of 120 and 75.
  19. 19.Find the HCF of 4 and 14.
  20. 20.Find the LCM of 6, 10 and 14.
  21. 21.Find the LCM of 4, 2 and 15.
  22. 22.Find the HCF of 45 and 81.
  23. 23.Find the HCF of 12 and 15.
  24. 24.Find the LCM of 5 and 6.
  25. 25.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 45. What is the other number?
  26. 26.Find the LCM of 15, 7 and 10.
  27. 27.Find the LCM of 21 and 27.
  28. 28.Find the HCF of 25 and 35.
  29. 29.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 14. What is the other number?
  30. 30.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 8. What is the other number?
  31. 31.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 30. What is the other number?
  32. 32.Find the HCF of 90 and 75.
  33. 33.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 28. What is the other number?
  34. 34.Find the HCF of 56 and 24.
  35. 35.Find the HCF of 80 and 70.
  36. 36.Find the LCM of 42 and 54.
  37. 37.Find the LCM of 14, 7 and 11.
  38. 38.Find the HCF of 16 and 6.
  39. 39.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 8. What is the other number?
  40. 40.Find the LCM of 9 and 12.

Answer key

  1. 8
  2. 108
  3. 240
  4. 12
  5. 66
  6. 36
  7. 52
  8. 168
  9. 6
  10. 12
  11. 60
  12. 104
  13. 2
  14. 10
  15. 32
  16. 15
  17. 144
  18. 15
  19. 2
  20. 210
  21. 60
  22. 9
  23. 3
  24. 30
  25. 81
  26. 210
  27. 189
  28. 5
  29. 6
  30. 36
  31. 25
  32. 15
  33. 12
  34. 8
  35. 10
  36. 378
  37. 154
  38. 2
  39. 28
  40. 36

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