← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 161 · 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 2 and their LCM is 24. One of the numbers is 8. What is the other number?
  2. 2.Find the LCM of 8, 3 and 5.
  3. 3.Find the HCF of 48 and 40.
  4. 4.Find the LCM of 20 and 35.
  5. 5.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 15. What is the other number?
  6. 6.Find the HCF of 80 and 50.
  7. 7.Find the HCF of 28 and 70.
  8. 8.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 18. What is the other number?
  9. 9.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 18. What is the other number?
  10. 10.Find the HCF of 20 and 28.
  11. 11.Find the LCM of 10 and 8.
  12. 12.Find the LCM of 7 and 3.
  13. 13.Find the HCF of 25 and 40.
  14. 14.Find the LCM of 3, 10 and 7.
  15. 15.Find the LCM of 6, 12 and 7.
  16. 16.Find the LCM of 3 and 2.
  17. 17.Find the LCM of 5, 2 and 3.
  18. 18.Find the HCF of 36 and 81.
  19. 19.Find the HCF of 30 and 75.
  20. 20.Find the LCM of 15 and 35.
  21. 21.Find the HCF of 36 and 27.
  22. 22.Find the LCM of 4 and 3.
  23. 23.Find the HCF of 12 and 21.
  24. 24.Find the LCM of 15, 3 and 2.
  25. 25.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 6. What is the other number?
  26. 26.Find the HCF of 45 and 81.
  27. 27.Find the LCM of 15, 6 and 14.
  28. 28.Find the HCF of 27 and 45.
  29. 29.Find the HCF of 24 and 54.
  30. 30.Find the LCM of 20 and 32.
  31. 31.Find the LCM of 12, 6 and 11.
  32. 32.Find the LCM of 4, 6 and 15.
  33. 33.Find the LCM of 14, 2 and 9.
  34. 34.Find the LCM of 8 and 18.
  35. 35.The HCF of two numbers is 7 and their LCM is 392. One of the numbers is 56. What is the other number?
  36. 36.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 18. What is the other number?
  37. 37.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 45. What is the other number?
  38. 38.Find the HCF of 10 and 45.
  39. 39.Find the HCF of 15 and 24.
  40. 40.Find the HCF of 9 and 6.

Answer key

  1. 6
  2. 120
  3. 8
  4. 140
  5. 12
  6. 10
  7. 14
  8. 42
  9. 45
  10. 4
  11. 40
  12. 21
  13. 5
  14. 210
  15. 84
  16. 6
  17. 30
  18. 9
  19. 15
  20. 105
  21. 9
  22. 12
  23. 3
  24. 30
  25. 21
  26. 9
  27. 210
  28. 9
  29. 6
  30. 160
  31. 132
  32. 60
  33. 126
  34. 72
  35. 49
  36. 10
  37. 81
  38. 5
  39. 3
  40. 3

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