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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 38 · 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 60 and 108.
  2. 2.Find the LCM of 12 and 42.
  3. 3.Find the HCF of 45 and 120.
  4. 4.Find the HCF of 16 and 28.
  5. 5.Find the LCM of 5 and 3.
  6. 6.Find the LCM of 10 and 8.
  7. 7.Find the LCM of 6 and 21.
  8. 8.Find the HCF of 105 and 30.
  9. 9.Find the LCM of 14, 9 and 3.
  10. 10.Find the LCM of 12, 14 and 8.
  11. 11.Find the HCF of 36 and 8.
  12. 12.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 12. What is the other number?
  13. 13.Find the LCM of 16 and 6.
  14. 14.Find the LCM of 18 and 12.
  15. 15.Find the LCM of 3 and 5.
  16. 16.Find the HCF of 27 and 6.
  17. 17.The HCF of two numbers is 6 and their LCM is 108. One of the numbers is 12. What is the other number?
  18. 18.Find the LCM of 5, 10 and 6.
  19. 19.Find the LCM of 6 and 10.
  20. 20.Find the HCF of 21 and 12.
  21. 21.Find the LCM of 36 and 32.
  22. 22.Find the HCF of 25 and 30.
  23. 23.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 36. What is the other number?
  24. 24.Find the LCM of 12 and 20.
  25. 25.Find the LCM of 3, 7 and 15.
  26. 26.Find the LCM of 9, 6 and 11.
  27. 27.Find the LCM of 14 and 18.
  28. 28.Find the HCF of 120 and 135.
  29. 29.Find the LCM of 4 and 18.
  30. 30.Find the HCF of 16 and 6.
  31. 31.Find the LCM of 13, 10 and 2.
  32. 32.Find the HCF of 30 and 35.
  33. 33.Find the LCM of 7, 12 and 4.
  34. 34.Find the LCM of 45 and 35.
  35. 35.Find the LCM of 8 and 10.
  36. 36.Find the LCM of 8 and 28.
  37. 37.Find the LCM of 11, 3 and 5.
  38. 38.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 12. What is the other number?
  39. 39.The HCF of two numbers is 5 and their LCM is 175. One of the numbers is 25. What is the other number?
  40. 40.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 12. What is the other number?

Answer key

  1. 12
  2. 84
  3. 15
  4. 4
  5. 15
  6. 40
  7. 42
  8. 15
  9. 126
  10. 168
  11. 4
  12. 15
  13. 48
  14. 36
  15. 15
  16. 3
  17. 54
  18. 30
  19. 30
  20. 3
  21. 288
  22. 5
  23. 45
  24. 60
  25. 105
  26. 198
  27. 126
  28. 15
  29. 36
  30. 2
  31. 130
  32. 5
  33. 84
  34. 315
  35. 40
  36. 56
  37. 165
  38. 18
  39. 35
  40. 8

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