← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 332 · 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 65 and 52.
  2. 2.The HCF of two numbers is 8 and their LCM is 168. One of the numbers is 24. What is the other number?
  3. 3.Find the LCM of 6 and 4.
  4. 4.Find the LCM of 5, 9 and 12.
  5. 5.Find the LCM of 24 and 15.
  6. 6.Find the LCM of 42 and 12.
  7. 7.Find the LCM of 6, 15 and 10.
  8. 8.Find the HCF of 49 and 56.
  9. 9.Find the HCF of 24 and 16.
  10. 10.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 18. What is the other number?
  11. 11.Find the LCM of 12 and 32.
  12. 12.Find the LCM of 36 and 32.
  13. 13.Find the LCM of 30 and 42.
  14. 14.Find the HCF of 36 and 48.
  15. 15.Find the HCF of 42 and 98.
  16. 16.Find the LCM of 2, 8 and 7.
  17. 17.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 9. What is the other number?
  18. 18.Find the HCF of 48 and 36.
  19. 19.Find the HCF of 48 and 54.
  20. 20.Find the LCM of 32 and 28.
  21. 21.Find the LCM of 18 and 16.
  22. 22.Find the HCF of 77 and 55.
  23. 23.The HCF of two numbers is 6 and their LCM is 240. One of the numbers is 48. What is the other number?
  24. 24.Find the LCM of 10, 5 and 12.
  25. 25.Find the LCM of 3 and 4.
  26. 26.Find the LCM of 13, 2 and 14.
  27. 27.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 27. What is the other number?
  28. 28.Find the LCM of 12, 3 and 7.
  29. 29.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 8. What is the other number?
  30. 30.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 16. What is the other number?
  31. 31.The HCF of two numbers is 6 and their LCM is 216. One of the numbers is 54. What is the other number?
  32. 32.Find the HCF of 15 and 35.
  33. 33.Find the LCM of 12, 6 and 10.
  34. 34.Find the LCM of 10, 2 and 3.
  35. 35.Find the LCM of 6, 10 and 14.
  36. 36.Find the LCM of 10 and 12.
  37. 37.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 28. What is the other number?
  38. 38.Find the HCF of 84 and 24.
  39. 39.Find the LCM of 36 and 16.
  40. 40.Find the LCM of 4, 14 and 12.

Answer key

  1. 13
  2. 56
  3. 12
  4. 180
  5. 120
  6. 84
  7. 30
  8. 7
  9. 8
  10. 27
  11. 96
  12. 288
  13. 210
  14. 12
  15. 14
  16. 56
  17. 12
  18. 12
  19. 6
  20. 224
  21. 144
  22. 11
  23. 30
  24. 60
  25. 12
  26. 182
  27. 18
  28. 84
  29. 28
  30. 24
  31. 24
  32. 5
  33. 60
  34. 30
  35. 210
  36. 60
  37. 8
  38. 12
  39. 144
  40. 84

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