← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 391 · 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.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 24. What is the other number?
  2. 2.Find the HCF of 32 and 20.
  3. 3.Find the HCF of 27 and 36.
  4. 4.Find the HCF of 12 and 27.
  5. 5.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 16. What is the other number?
  6. 6.Find the LCM of 15 and 35.
  7. 7.Find the LCM of 5, 10 and 3.
  8. 8.Find the LCM of 14 and 18.
  9. 9.The HCF of two numbers is 6 and their LCM is 60. One of the numbers is 30. What is the other number?
  10. 10.Find the HCF of 108 and 96.
  11. 11.Find the LCM of 3, 5 and 10.
  12. 12.Find the LCM of 18 and 10.
  13. 13.Find the HCF of 32 and 72.
  14. 14.Find the HCF of 105 and 30.
  15. 15.Find the HCF of 18 and 27.
  16. 16.Find the LCM of 28 and 8.
  17. 17.Find the HCF of 80 and 50.
  18. 18.Find the LCM of 9, 6 and 14.
  19. 19.Find the LCM of 54 and 48.
  20. 20.Find the HCF of 105 and 120.
  21. 21.Find the LCM of 3 and 8.
  22. 22.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 8. What is the other number?
  23. 23.Find the LCM of 10 and 4.
  24. 24.Find the LCM of 12 and 42.
  25. 25.Find the HCF of 6 and 21.
  26. 26.Find the LCM of 32 and 12.
  27. 27.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 18. What is the other number?
  28. 28.Find the HCF of 20 and 28.
  29. 29.Find the HCF of 40 and 56.
  30. 30.Find the LCM of 8 and 9.
  31. 31.Find the LCM of 42 and 36.
  32. 32.Find the HCF of 16 and 24.
  33. 33.The HCF of two numbers is 7 and their LCM is 196. One of the numbers is 49. What is the other number?
  34. 34.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 21. What is the other number?
  35. 35.Find the LCM of 3, 6 and 5.
  36. 36.Find the LCM of 20 and 45.
  37. 37.Find the HCF of 33 and 44.
  38. 38.Find the LCM of 36 and 8.
  39. 39.Find the HCF of 26 and 117.
  40. 40.Find the LCM of 3, 15 and 2.

Answer key

  1. 15
  2. 4
  3. 9
  4. 3
  5. 14
  6. 105
  7. 30
  8. 126
  9. 12
  10. 12
  11. 30
  12. 90
  13. 8
  14. 15
  15. 9
  16. 56
  17. 10
  18. 126
  19. 432
  20. 15
  21. 24
  22. 20
  23. 20
  24. 84
  25. 3
  26. 96
  27. 48
  28. 4
  29. 8
  30. 72
  31. 252
  32. 8
  33. 28
  34. 28
  35. 30
  36. 180
  37. 11
  38. 72
  39. 13
  40. 30

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude