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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 589 · 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 15.
  2. 2.Find the HCF of 70 and 98.
  3. 3.Find the LCM of 27 and 12.
  4. 4.Find the HCF of 16 and 36.
  5. 5.Find the HCF of 104 and 65.
  6. 6.Find the LCM of 4, 6 and 5.
  7. 7.The HCF of two numbers is 6 and their LCM is 108. One of the numbers is 12. What is the other number?
  8. 8.Find the LCM of 32 and 28.
  9. 9.Find the HCF of 21 and 9.
  10. 10.Find the LCM of 5, 2 and 3.
  11. 11.Find the LCM of 9 and 8.
  12. 12.Find the HCF of 20 and 16.
  13. 13.Find the LCM of 2, 15 and 3.
  14. 14.Find the LCM of 10, 7 and 3.
  15. 15.Find the LCM of 42 and 18.
  16. 16.Find the HCF of 135 and 30.
  17. 17.Find the LCM of 48 and 54.
  18. 18.Find the HCF of 56 and 16.
  19. 19.Find the HCF of 32 and 28.
  20. 20.Find the HCF of 21 and 49.
  21. 21.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 40. What is the other number?
  22. 22.Find the LCM of 8, 2 and 3.
  23. 23.Find the LCM of 14, 12 and 7.
  24. 24.Find the LCM of 4 and 14.
  25. 25.Find the LCM of 18 and 8.
  26. 26.Find the LCM of 4 and 3.
  27. 27.Find the LCM of 5 and 2.
  28. 28.Find the LCM of 16 and 18.
  29. 29.Find the HCF of 96 and 36.
  30. 30.Find the HCF of 60 and 84.
  31. 31.Find the LCM of 30 and 18.
  32. 32.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 30. What is the other number?
  33. 33.Find the HCF of 25 and 30.
  34. 34.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 15. What is the other number?
  35. 35.Find the HCF of 135 and 60.
  36. 36.Find the HCF of 27 and 72.
  37. 37.The HCF of two numbers is 6 and their LCM is 120. One of the numbers is 24. What is the other number?
  38. 38.Find the LCM of 25 and 20.
  39. 39.Find the HCF of 84 and 60.
  40. 40.Find the LCM of 9, 2 and 13.

Answer key

  1. 3
  2. 14
  3. 108
  4. 4
  5. 13
  6. 60
  7. 54
  8. 224
  9. 3
  10. 30
  11. 72
  12. 4
  13. 30
  14. 210
  15. 126
  16. 15
  17. 432
  18. 8
  19. 4
  20. 7
  21. 32
  22. 24
  23. 84
  24. 28
  25. 72
  26. 12
  27. 10
  28. 144
  29. 12
  30. 12
  31. 90
  32. 18
  33. 5
  34. 12
  35. 15
  36. 9
  37. 30
  38. 100
  39. 12
  40. 234

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