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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 101 · 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 6 and their LCM is 168. One of the numbers is 24. What is the other number?
  2. 2.Find the HCF of 24 and 32.
  3. 3.Find the LCM of 54 and 48.
  4. 4.The HCF of two numbers is 4 and their LCM is 144. One of the numbers is 36. What is the other number?
  5. 5.The HCF of two numbers is 7 and their LCM is 504. One of the numbers is 63. What is the other number?
  6. 6.Find the HCF of 16 and 14.
  7. 7.Find the LCM of 14, 10 and 15.
  8. 8.Find the LCM of 28 and 8.
  9. 9.Find the LCM of 3, 10 and 7.
  10. 10.Find the HCF of 48 and 40.
  11. 11.Find the LCM of 7 and 3.
  12. 12.Find the LCM of 15, 5 and 13.
  13. 13.Find the LCM of 10 and 25.
  14. 14.Find the LCM of 10, 2 and 8.
  15. 15.Find the LCM of 3, 4 and 8.
  16. 16.Find the HCF of 81 and 36.
  17. 17.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 16. What is the other number?
  18. 18.Find the LCM of 2 and 3.
  19. 19.Find the HCF of 70 and 42.
  20. 20.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 27. What is the other number?
  21. 21.Find the LCM of 35 and 25.
  22. 22.Find the HCF of 40 and 70.
  23. 23.Find the LCM of 5 and 2.
  24. 24.Find the HCF of 18 and 27.
  25. 25.Find the HCF of 49 and 21.
  26. 26.Find the HCF of 90 and 105.
  27. 27.Find the LCM of 3 and 5.
  28. 28.Find the HCF of 6 and 15.
  29. 29.Find the LCM of 30 and 25.
  30. 30.Find the LCM of 9, 14 and 7.
  31. 31.Find the HCF of 15 and 20.
  32. 32.Find the HCF of 54 and 12.
  33. 33.Find the LCM of 10, 14 and 3.
  34. 34.Find the LCM of 12, 4 and 10.
  35. 35.Find the LCM of 10, 3 and 14.
  36. 36.Find the HCF of 12 and 15.
  37. 37.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 25. What is the other number?
  38. 38.Find the LCM of 2, 12 and 6.
  39. 39.Find the HCF of 75 and 30.
  40. 40.Find the LCM of 12 and 54.

Answer key

  1. 42
  2. 8
  3. 432
  4. 16
  5. 56
  6. 2
  7. 210
  8. 56
  9. 210
  10. 8
  11. 21
  12. 195
  13. 50
  14. 40
  15. 24
  16. 9
  17. 28
  18. 6
  19. 14
  20. 6
  21. 175
  22. 10
  23. 10
  24. 9
  25. 7
  26. 15
  27. 15
  28. 3
  29. 150
  30. 126
  31. 5
  32. 6
  33. 210
  34. 60
  35. 210
  36. 3
  37. 15
  38. 12
  39. 15
  40. 108

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