← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 9 · 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 12.
  2. 2.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 16. What is the other number?
  3. 3.Find the LCM of 30 and 48.
  4. 4.Find the HCF of 66 and 77.
  5. 5.Find the HCF of 81 and 72.
  6. 6.Find the LCM of 11, 6 and 2.
  7. 7.Find the HCF of 48 and 36.
  8. 8.Find the LCM of 25 and 35.
  9. 9.Find the HCF of 42 and 12.
  10. 10.The HCF of two numbers is 5 and their LCM is 180. One of the numbers is 20. What is the other number?
  11. 11.Find the LCM of 6 and 9.
  12. 12.Find the HCF of 42 and 28.
  13. 13.Find the LCM of 12, 9 and 4.
  14. 14.Find the LCM of 3 and 5.
  15. 15.Find the HCF of 56 and 21.
  16. 16.Find the LCM of 35 and 45.
  17. 17.The HCF of two numbers is 4 and their LCM is 160. One of the numbers is 32. What is the other number?
  18. 18.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 12. What is the other number?
  19. 19.Find the LCM of 5 and 4.
  20. 20.Find the LCM of 3, 9 and 8.
  21. 21.Find the HCF of 30 and 18.
  22. 22.Find the HCF of 60 and 48.
  23. 23.Find the LCM of 30 and 36.
  24. 24.Find the HCF of 48 and 30.
  25. 25.Find the LCM of 14, 5 and 10.
  26. 26.Find the LCM of 3 and 7.
  27. 27.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 72. What is the other number?
  28. 28.Find the HCF of 26 and 91.
  29. 29.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 28. What is the other number?
  30. 30.Find the LCM of 27 and 6.
  31. 31.Find the HCF of 24 and 15.
  32. 32.Find the LCM of 7, 3 and 6.
  33. 33.The HCF of two numbers is 7 and their LCM is 147. One of the numbers is 21. What is the other number?
  34. 34.Find the LCM of 36 and 28.
  35. 35.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 35. What is the other number?
  36. 36.Find the LCM of 45 and 35.
  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.Find the LCM of 20 and 12.
  39. 39.Find the LCM of 10, 5 and 3.
  40. 40.Find the LCM of 36 and 20.

Answer key

  1. 4
  2. 6
  3. 240
  4. 11
  5. 9
  6. 66
  7. 12
  8. 175
  9. 6
  10. 45
  11. 18
  12. 14
  13. 36
  14. 15
  15. 7
  16. 315
  17. 20
  18. 27
  19. 20
  20. 72
  21. 6
  22. 12
  23. 180
  24. 6
  25. 70
  26. 21
  27. 16
  28. 13
  29. 35
  30. 54
  31. 3
  32. 42
  33. 49
  34. 252
  35. 45
  36. 315
  37. 10
  38. 60
  39. 30
  40. 180

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