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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 40 · 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 24 and 40.
  2. 2.Find the LCM of 3, 7 and 14.
  3. 3.Find the LCM of 6, 14 and 12.
  4. 4.Find the HCF of 16 and 10.
  5. 5.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 40. What is the other number?
  6. 6.Find the HCF of 24 and 16.
  7. 7.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 18. What is the other number?
  8. 8.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 35. What is the other number?
  9. 9.Find the HCF of 54 and 24.
  10. 10.Find the HCF of 84 and 108.
  11. 11.Find the LCM of 36 and 42.
  12. 12.Find the HCF of 77 and 99.
  13. 13.Find the LCM of 13, 3 and 15.
  14. 14.Find the HCF of 16 and 14.
  15. 15.The HCF of two numbers is 6 and their LCM is 270. One of the numbers is 54. What is the other number?
  16. 16.Find the LCM of 4 and 18.
  17. 17.Find the LCM of 42 and 24.
  18. 18.Find the LCM of 3, 15 and 2.
  19. 19.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 14. What is the other number?
  20. 20.Find the HCF of 12 and 16.
  21. 21.Find the LCM of 13, 6 and 3.
  22. 22.Find the HCF of 21 and 27.
  23. 23.Find the LCM of 15, 2 and 3.
  24. 24.Find the HCF of 45 and 20.
  25. 25.Find the LCM of 10 and 6.
  26. 26.Find the LCM of 25 and 45.
  27. 27.Find the HCF of 18 and 48.
  28. 28.Find the LCM of 54 and 12.
  29. 29.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 36. What is the other number?
  30. 30.Find the HCF of 42 and 12.
  31. 31.Find the HCF of 63 and 36.
  32. 32.Find the LCM of 5 and 6.
  33. 33.Find the HCF of 40 and 35.
  34. 34.Find the HCF of 12 and 21.
  35. 35.The HCF of two numbers is 8 and their LCM is 168. One of the numbers is 56. What is the other number?
  36. 36.Find the LCM of 3, 6 and 2.
  37. 37.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 25. What is the other number?
  38. 38.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 40. What is the other number?
  39. 39.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 20. What is the other number?
  40. 40.Find the HCF of 105 and 45.

Answer key

  1. 8
  2. 42
  3. 84
  4. 2
  5. 35
  6. 8
  7. 81
  8. 10
  9. 6
  10. 12
  11. 252
  12. 11
  13. 195
  14. 2
  15. 30
  16. 36
  17. 168
  18. 30
  19. 49
  20. 4
  21. 78
  22. 3
  23. 30
  24. 5
  25. 30
  26. 225
  27. 6
  28. 108
  29. 8
  30. 6
  31. 9
  32. 30
  33. 5
  34. 3
  35. 24
  36. 6
  37. 10
  38. 24
  39. 28
  40. 15

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