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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 594 · 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 LCM of 12, 6 and 10.
  2. 2.Find the HCF of 4 and 6.
  3. 3.Find the HCF of 40 and 35.
  4. 4.Find the LCM of 16 and 12.
  5. 5.The HCF of two numbers is 2 and their LCM is 60. One of the numbers is 10. What is the other number?
  6. 6.Find the HCF of 60 and 105.
  7. 7.Find the LCM of 10 and 15.
  8. 8.Find the HCF of 48 and 108.
  9. 9.Find the HCF of 30 and 20.
  10. 10.Find the HCF of 33 and 22.
  11. 11.The HCF of two numbers is 8 and their LCM is 168. One of the numbers is 56. What is the other number?
  12. 12.Find the LCM of 8, 2 and 4.
  13. 13.Find the LCM of 24 and 42.
  14. 14.Find the LCM of 4, 7 and 6.
  15. 15.Find the LCM of 45 and 35.
  16. 16.Find the LCM of 10 and 6.
  17. 17.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 27. What is the other number?
  18. 18.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 32. What is the other number?
  19. 19.Find the HCF of 28 and 8.
  20. 20.Find the HCF of 20 and 15.
  21. 21.Find the HCF of 6 and 14.
  22. 22.Find the HCF of 28 and 32.
  23. 23.Find the LCM of 9 and 4.
  24. 24.Find the LCM of 28 and 36.
  25. 25.Find the LCM of 5 and 9.
  26. 26.Find the HCF of 16 and 6.
  27. 27.The HCF of two numbers is 9 and their LCM is 135. One of the numbers is 45. What is the other number?
  28. 28.Find the LCM of 54 and 12.
  29. 29.Find the LCM of 16 and 14.
  30. 30.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 45. What is the other number?
  31. 31.Find the HCF of 36 and 27.
  32. 32.Find the HCF of 104 and 39.
  33. 33.Find the HCF of 70 and 30.
  34. 34.Find the HCF of 16 and 36.
  35. 35.Find the LCM of 6, 12 and 14.
  36. 36.Find the HCF of 6 and 16.
  37. 37.Find the HCF of 63 and 72.
  38. 38.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 12. What is the other number?
  39. 39.Find the LCM of 5, 6 and 2.
  40. 40.Find the HCF of 21 and 35.

Answer key

  1. 60
  2. 2
  3. 5
  4. 48
  5. 12
  6. 15
  7. 30
  8. 12
  9. 10
  10. 11
  11. 24
  12. 8
  13. 168
  14. 84
  15. 315
  16. 30
  17. 36
  18. 40
  19. 4
  20. 5
  21. 2
  22. 4
  23. 36
  24. 252
  25. 45
  26. 2
  27. 27
  28. 108
  29. 112
  30. 18
  31. 9
  32. 13
  33. 10
  34. 4
  35. 84
  36. 2
  37. 9
  38. 14
  39. 30
  40. 7

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