← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 614 · 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 14 and 8.
  2. 2.Find the HCF of 42 and 70.
  3. 3.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 27. What is the other number?
  4. 4.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 81. What is the other number?
  5. 5.Find the HCF of 20 and 90.
  6. 6.Find the HCF of 91 and 26.
  7. 7.Find the HCF of 81 and 45.
  8. 8.Find the HCF of 32 and 28.
  9. 9.The HCF of two numbers is 9 and their LCM is 360. One of the numbers is 45. What is the other number?
  10. 10.Find the LCM of 2, 10 and 11.
  11. 11.Find the LCM of 42 and 12.
  12. 12.Find the HCF of 40 and 24.
  13. 13.Find the LCM of 7, 9 and 2.
  14. 14.Find the HCF of 21 and 12.
  15. 15.The HCF of two numbers is 8 and their LCM is 320. One of the numbers is 64. What is the other number?
  16. 16.Find the LCM of 21 and 12.
  17. 17.Find the LCM of 4, 15 and 3.
  18. 18.Find the HCF of 6 and 10.
  19. 19.Find the HCF of 39 and 104.
  20. 20.Find the HCF of 22 and 55.
  21. 21.Find the HCF of 126 and 28.
  22. 22.Find the LCM of 7, 11 and 14.
  23. 23.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 30. What is the other number?
  24. 24.Find the LCM of 9, 6 and 3.
  25. 25.Find the HCF of 35 and 20.
  26. 26.Find the LCM of 5 and 4.
  27. 27.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 16. What is the other number?
  28. 28.The HCF of two numbers is 5 and their LCM is 140. One of the numbers is 20. What is the other number?
  29. 29.Find the LCM of 27 and 24.
  30. 30.Find the LCM of 7, 8 and 3.
  31. 31.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 14. What is the other number?
  32. 32.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 24. What is the other number?
  33. 33.Find the HCF of 30 and 25.
  34. 34.Find the HCF of 45 and 27.
  35. 35.Find the HCF of 54 and 42.
  36. 36.Find the HCF of 18 and 24.
  37. 37.Find the LCM of 5, 6 and 7.
  38. 38.Find the HCF of 20 and 8.
  39. 39.Find the HCF of 120 and 135.
  40. 40.Find the HCF of 12 and 8.

Answer key

  1. 2
  2. 14
  3. 12
  4. 45
  5. 10
  6. 13
  7. 9
  8. 4
  9. 72
  10. 110
  11. 84
  12. 8
  13. 126
  14. 3
  15. 40
  16. 84
  17. 60
  18. 2
  19. 13
  20. 11
  21. 14
  22. 154
  23. 18
  24. 18
  25. 5
  26. 20
  27. 72
  28. 35
  29. 216
  30. 168
  31. 10
  32. 32
  33. 5
  34. 9
  35. 6
  36. 6
  37. 210
  38. 4
  39. 15
  40. 4

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