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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 185 · 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.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 6. What is the other number?
  2. 2.Find the LCM of 2, 9 and 8.
  3. 3.Find the HCF of 40 and 30.
  4. 4.The HCF of two numbers is 5 and their LCM is 360. One of the numbers is 40. What is the other number?
  5. 5.Find the HCF of 45 and 40.
  6. 6.Find the HCF of 70 and 56.
  7. 7.Find the LCM of 6 and 8.
  8. 8.Find the LCM of 7, 14 and 4.
  9. 9.Find the HCF of 9 and 24.
  10. 10.Find the HCF of 8 and 20.
  11. 11.Find the HCF of 40 and 64.
  12. 12.Find the HCF of 20 and 35.
  13. 13.Find the LCM of 36 and 30.
  14. 14.Find the LCM of 30 and 35.
  15. 15.Find the LCM of 32 and 36.
  16. 16.Find the HCF of 6 and 16.
  17. 17.Find the HCF of 99 and 55.
  18. 18.Find the LCM of 48 and 30.
  19. 19.The HCF of two numbers is 7 and their LCM is 210. One of the numbers is 42. What is the other number?
  20. 20.Find the LCM of 20 and 15.
  21. 21.Find the LCM of 18 and 10.
  22. 22.Find the LCM of 25 and 30.
  23. 23.Find the LCM of 30 and 24.
  24. 24.Find the HCF of 44 and 55.
  25. 25.Find the LCM of 20 and 12.
  26. 26.Find the HCF of 10 and 16.
  27. 27.Find the HCF of 16 and 12.
  28. 28.Find the HCF of 39 and 104.
  29. 29.Find the LCM of 2, 7 and 12.
  30. 30.Find the LCM of 12, 3 and 2.
  31. 31.Find the LCM of 8 and 18.
  32. 32.Find the LCM of 6, 10 and 4.
  33. 33.Find the HCF of 40 and 24.
  34. 34.Find the LCM of 40 and 15.
  35. 35.Find the HCF of 12 and 18.
  36. 36.Find the LCM of 12 and 28.
  37. 37.Find the LCM of 30 and 48.
  38. 38.Find the LCM of 3 and 5.
  39. 39.Find the LCM of 42 and 12.
  40. 40.Find the LCM of 2, 15 and 3.

Answer key

  1. 10
  2. 72
  3. 10
  4. 45
  5. 5
  6. 14
  7. 24
  8. 28
  9. 3
  10. 4
  11. 8
  12. 5
  13. 180
  14. 210
  15. 288
  16. 2
  17. 11
  18. 240
  19. 35
  20. 60
  21. 90
  22. 150
  23. 120
  24. 11
  25. 60
  26. 2
  27. 4
  28. 13
  29. 84
  30. 12
  31. 72
  32. 60
  33. 8
  34. 120
  35. 6
  36. 84
  37. 240
  38. 15
  39. 84
  40. 30

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