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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 490 · 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 8 and 28.
  2. 2.Find the LCM of 10 and 45.
  3. 3.Find the HCF of 56 and 42.
  4. 4.Find the HCF of 8 and 10.
  5. 5.Find the LCM of 16 and 18.
  6. 6.Find the LCM of 7, 12 and 8.
  7. 7.Find the HCF of 15 and 24.
  8. 8.Find the HCF of 27 and 6.
  9. 9.The HCF of two numbers is 2 and their LCM is 40. One of the numbers is 8. What is the other number?
  10. 10.Find the LCM of 10, 2 and 4.
  11. 11.Find the LCM of 6 and 8.
  12. 12.Find the LCM of 12, 14 and 2.
  13. 13.Find the LCM of 5, 3 and 14.
  14. 14.Find the LCM of 10 and 6.
  15. 15.Find the LCM of 3, 2 and 5.
  16. 16.Find the LCM of 13, 15 and 5.
  17. 17.Find the HCF of 65 and 26.
  18. 18.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 24. What is the other number?
  19. 19.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 20. What is the other number?
  20. 20.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 45. What is the other number?
  21. 21.Find the LCM of 28 and 20.
  22. 22.Find the LCM of 10 and 18.
  23. 23.Find the LCM of 7, 11 and 2.
  24. 24.Find the LCM of 3 and 8.
  25. 25.Find the LCM of 18 and 42.
  26. 26.Find the LCM of 25 and 10.
  27. 27.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 8. What is the other number?
  28. 28.Find the HCF of 15 and 25.
  29. 29.Find the LCM of 20 and 35.
  30. 30.Find the LCM of 12 and 54.
  31. 31.Find the HCF of 39 and 26.
  32. 32.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 10. What is the other number?
  33. 33.Find the HCF of 77 and 22.
  34. 34.Find the HCF of 117 and 91.
  35. 35.Find the HCF of 20 and 24.
  36. 36.Find the LCM of 28 and 36.
  37. 37.Find the LCM of 12 and 20.
  38. 38.Find the LCM of 30 and 54.
  39. 39.Find the LCM of 15, 6 and 8.
  40. 40.Find the LCM of 7, 4 and 14.

Answer key

  1. 4
  2. 90
  3. 14
  4. 2
  5. 144
  6. 168
  7. 3
  8. 3
  9. 10
  10. 20
  11. 24
  12. 84
  13. 210
  14. 30
  15. 30
  16. 195
  17. 13
  18. 27
  19. 8
  20. 36
  21. 140
  22. 90
  23. 154
  24. 24
  25. 126
  26. 50
  27. 28
  28. 5
  29. 140
  30. 108
  31. 13
  32. 16
  33. 11
  34. 13
  35. 4
  36. 252
  37. 60
  38. 270
  39. 120
  40. 28

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