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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 687 · 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 8 and their LCM is 240. One of the numbers is 48. What is the other number?
  2. 2.Find the LCM of 25 and 15.
  3. 3.Find the LCM of 10 and 25.
  4. 4.Find the HCF of 16 and 24.
  5. 5.Find the HCF of 98 and 112.
  6. 6.Find the HCF of 70 and 80.
  7. 7.Find the LCM of 14 and 18.
  8. 8.Find the LCM of 4, 3 and 5.
  9. 9.Find the LCM of 7, 14 and 15.
  10. 10.Find the HCF of 20 and 25.
  11. 11.Find the LCM of 32 and 20.
  12. 12.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 56. What is the other number?
  13. 13.Find the HCF of 20 and 90.
  14. 14.Find the LCM of 30 and 12.
  15. 15.Find the HCF of 56 and 64.
  16. 16.Find the HCF of 16 and 56.
  17. 17.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 6. What is the other number?
  18. 18.Find the LCM of 10, 4 and 15.
  19. 19.Find the HCF of 21 and 49.
  20. 20.Find the HCF of 9 and 6.
  21. 21.Find the LCM of 8 and 18.
  22. 22.Find the LCM of 36 and 30.
  23. 23.Find the HCF of 49 and 56.
  24. 24.Find the LCM of 8 and 20.
  25. 25.Find the HCF of 12 and 32.
  26. 26.Find the HCF of 54 and 63.
  27. 27.Find the LCM of 8 and 12.
  28. 28.Find the LCM of 7 and 2.
  29. 29.Find the HCF of 56 and 40.
  30. 30.Find the LCM of 3 and 4.
  31. 31.The HCF of two numbers is 6 and their LCM is 210. One of the numbers is 30. What is the other number?
  32. 32.Find the LCM of 18 and 48.
  33. 33.Find the LCM of 15, 2 and 7.
  34. 34.Find the LCM of 8, 11 and 2.
  35. 35.Find the LCM of 21 and 24.
  36. 36.Find the HCF of 84 and 96.
  37. 37.Find the LCM of 24 and 9.
  38. 38.Find the LCM of 6, 13 and 3.
  39. 39.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 12. What is the other number?
  40. 40.Find the HCF of 40 and 56.

Answer key

  1. 40
  2. 75
  3. 50
  4. 8
  5. 14
  6. 10
  7. 126
  8. 60
  9. 210
  10. 5
  11. 160
  12. 48
  13. 10
  14. 60
  15. 8
  16. 8
  17. 27
  18. 60
  19. 7
  20. 3
  21. 72
  22. 180
  23. 7
  24. 40
  25. 4
  26. 9
  27. 24
  28. 14
  29. 8
  30. 12
  31. 42
  32. 144
  33. 210
  34. 88
  35. 168
  36. 12
  37. 72
  38. 78
  39. 9
  40. 8

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