← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 537 · 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 9 and their LCM is 504. One of the numbers is 63. What is the other number?
  2. 2.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 8. What is the other number?
  3. 3.Find the HCF of 120 and 135.
  4. 4.Find the HCF of 30 and 54.
  5. 5.Find the HCF of 4 and 6.
  6. 6.Find the HCF of 65 and 39.
  7. 7.The HCF of two numbers is 9 and their LCM is 324. One of the numbers is 81. What is the other number?
  8. 8.Find the LCM of 10, 2 and 5.
  9. 9.Find the LCM of 28 and 32.
  10. 10.Find the HCF of 28 and 21.
  11. 11.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 9. What is the other number?
  12. 12.Find the HCF of 108 and 48.
  13. 13.Find the HCF of 81 and 18.
  14. 14.Find the LCM of 54 and 12.
  15. 15.Find the LCM of 18 and 24.
  16. 16.Find the LCM of 16 and 6.
  17. 17.The HCF of two numbers is 9 and their LCM is 648. One of the numbers is 81. What is the other number?
  18. 18.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 40. What is the other number?
  19. 19.Find the LCM of 40 and 25.
  20. 20.Find the LCM of 3, 5 and 7.
  21. 21.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 20. What is the other number?
  22. 22.Find the HCF of 72 and 84.
  23. 23.Find the LCM of 12 and 10.
  24. 24.Find the HCF of 84 and 36.
  25. 25.Find the LCM of 10 and 18.
  26. 26.Find the LCM of 5, 10 and 13.
  27. 27.The HCF of two numbers is 6 and their LCM is 216. One of the numbers is 24. What is the other number?
  28. 28.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 16. What is the other number?
  29. 29.Find the LCM of 8 and 12.
  30. 30.Find the LCM of 3, 9 and 2.
  31. 31.Find the LCM of 6, 4 and 13.
  32. 32.Find the LCM of 14, 9 and 3.
  33. 33.Find the HCF of 105 and 75.
  34. 34.The HCF of two numbers is 6 and their LCM is 210. One of the numbers is 42. What is the other number?
  35. 35.Find the HCF of 14 and 10.
  36. 36.Find the LCM of 14, 3 and 5.
  37. 37.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 14. What is the other number?
  38. 38.Find the LCM of 16 and 20.
  39. 39.Find the LCM of 25 and 10.
  40. 40.Find the LCM of 24 and 28.

Answer key

  1. 72
  2. 36
  3. 15
  4. 6
  5. 2
  6. 13
  7. 36
  8. 10
  9. 224
  10. 7
  11. 12
  12. 12
  13. 9
  14. 108
  15. 72
  16. 48
  17. 72
  18. 24
  19. 200
  20. 105
  21. 8
  22. 12
  23. 60
  24. 12
  25. 90
  26. 130
  27. 54
  28. 12
  29. 24
  30. 18
  31. 156
  32. 126
  33. 15
  34. 30
  35. 2
  36. 210
  37. 4
  38. 80
  39. 50
  40. 168

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