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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 604 · 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 12 and 8.
  2. 2.Find the HCF of 50 and 60.
  3. 3.Find the LCM of 3, 14 and 6.
  4. 4.Find the HCF of 4 and 18.
  5. 5.Find the LCM of 14 and 8.
  6. 6.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 18. What is the other number?
  7. 7.Find the HCF of 16 and 36.
  8. 8.Find the LCM of 7 and 8.
  9. 9.Find the HCF of 70 and 30.
  10. 10.Find the LCM of 18 and 10.
  11. 11.Find the HCF of 81 and 36.
  12. 12.The HCF of two numbers is 6 and their LCM is 108. One of the numbers is 54. What is the other number?
  13. 13.Find the LCM of 21 and 24.
  14. 14.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 9. What is the other number?
  15. 15.Find the HCF of 33 and 22.
  16. 16.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 12. What is the other number?
  17. 17.Find the LCM of 5 and 3.
  18. 18.Find the HCF of 32 and 20.
  19. 19.Find the LCM of 4, 3 and 5.
  20. 20.Find the LCM of 10 and 4.
  21. 21.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 4. What is the other number?
  22. 22.Find the HCF of 54 and 63.
  23. 23.Find the HCF of 135 and 30.
  24. 24.Find the LCM of 18 and 24.
  25. 25.Find the HCF of 33 and 88.
  26. 26.Find the LCM of 15, 14 and 3.
  27. 27.Find the LCM of 4, 3 and 7.
  28. 28.The HCF of two numbers is 9 and their LCM is 315. One of the numbers is 63. What is the other number?
  29. 29.Find the HCF of 42 and 54.
  30. 30.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 25. What is the other number?
  31. 31.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 72. What is the other number?
  32. 32.Find the LCM of 28 and 20.
  33. 33.Find the HCF of 24 and 27.
  34. 34.Find the LCM of 15, 3 and 8.
  35. 35.Find the HCF of 22 and 33.
  36. 36.Find the LCM of 8 and 10.
  37. 37.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 32. What is the other number?
  38. 38.Find the HCF of 24 and 28.
  39. 39.Find the HCF of 21 and 27.
  40. 40.Find the HCF of 22 and 55.

Answer key

  1. 4
  2. 10
  3. 42
  4. 2
  5. 56
  6. 24
  7. 4
  8. 56
  9. 10
  10. 90
  11. 9
  12. 12
  13. 168
  14. 21
  15. 11
  16. 42
  17. 15
  18. 4
  19. 60
  20. 20
  21. 10
  22. 9
  23. 15
  24. 72
  25. 11
  26. 210
  27. 84
  28. 45
  29. 6
  30. 15
  31. 27
  32. 140
  33. 3
  34. 120
  35. 11
  36. 40
  37. 56
  38. 4
  39. 3
  40. 11

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