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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 624 · 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 40 and 56.
  2. 2.Find the LCM of 25 and 35.
  3. 3.Find the HCF of 126 and 56.
  4. 4.Find the LCM of 9, 6 and 3.
  5. 5.Find the LCM of 54 and 12.
  6. 6.Find the HCF of 72 and 45.
  7. 7.Find the HCF of 78 and 65.
  8. 8.Find the HCF of 26 and 65.
  9. 9.Find the LCM of 25 and 30.
  10. 10.Find the LCM of 30 and 24.
  11. 11.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 21. What is the other number?
  12. 12.Find the LCM of 14 and 12.
  13. 13.Find the HCF of 45 and 18.
  14. 14.Find the LCM of 12 and 28.
  15. 15.Find the LCM of 9 and 12.
  16. 16.Find the LCM of 15 and 25.
  17. 17.Find the LCM of 8 and 28.
  18. 18.Find the HCF of 21 and 9.
  19. 19.Find the HCF of 30 and 24.
  20. 20.Find the LCM of 4, 9 and 2.
  21. 21.Find the LCM of 20 and 32.
  22. 22.Find the HCF of 32 and 72.
  23. 23.Find the LCM of 3 and 2.
  24. 24.Find the LCM of 25 and 15.
  25. 25.Find the LCM of 8, 7 and 14.
  26. 26.Find the LCM of 9 and 7.
  27. 27.The HCF of two numbers is 8 and their LCM is 168. One of the numbers is 24. What is the other number?
  28. 28.Find the HCF of 56 and 16.
  29. 29.Find the HCF of 22 and 55.
  30. 30.Find the LCM of 12, 4 and 11.
  31. 31.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 15. What is the other number?
  32. 32.Find the HCF of 63 and 81.
  33. 33.Find the LCM of 9, 14 and 3.
  34. 34.Find the LCM of 6, 8 and 12.
  35. 35.Find the HCF of 60 and 105.
  36. 36.Find the LCM of 8 and 7.
  37. 37.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 14. What is the other number?
  38. 38.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 9. What is the other number?
  39. 39.The HCF of two numbers is 4 and their LCM is 168. One of the numbers is 24. What is the other number?
  40. 40.Find the LCM of 5, 15 and 9.

Answer key

  1. 8
  2. 175
  3. 14
  4. 18
  5. 108
  6. 9
  7. 13
  8. 13
  9. 150
  10. 120
  11. 12
  12. 84
  13. 9
  14. 84
  15. 36
  16. 75
  17. 56
  18. 3
  19. 6
  20. 36
  21. 160
  22. 8
  23. 6
  24. 75
  25. 56
  26. 63
  27. 56
  28. 8
  29. 11
  30. 132
  31. 24
  32. 9
  33. 126
  34. 24
  35. 15
  36. 56
  37. 6
  38. 12
  39. 28
  40. 45

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