← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 39 · 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 36 and 96.
  2. 2.Find the HCF of 65 and 26.
  3. 3.Find the LCM of 45 and 40.
  4. 4.Find the LCM of 9 and 5.
  5. 5.Find the LCM of 6, 14 and 8.
  6. 6.Find the LCM of 42 and 36.
  7. 7.Find the LCM of 15 and 20.
  8. 8.Find the LCM of 5 and 3.
  9. 9.Find the HCF of 105 and 75.
  10. 10.The HCF of two numbers is 7 and their LCM is 392. One of the numbers is 56. What is the other number?
  11. 11.Find the LCM of 13, 2 and 9.
  12. 12.Find the LCM of 11, 4 and 8.
  13. 13.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 16. What is the other number?
  14. 14.Find the LCM of 8 and 36.
  15. 15.Find the HCF of 56 and 21.
  16. 16.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 56. What is the other number?
  17. 17.Find the LCM of 15, 9 and 2.
  18. 18.The HCF of two numbers is 6 and their LCM is 378. One of the numbers is 54. What is the other number?
  19. 19.The HCF of two numbers is 2 and their LCM is 60. One of the numbers is 12. What is the other number?
  20. 20.Find the HCF of 54 and 42.
  21. 21.Find the LCM of 14, 6 and 12.
  22. 22.Find the HCF of 126 and 70.
  23. 23.Find the LCM of 45 and 20.
  24. 24.Find the HCF of 45 and 120.
  25. 25.Find the LCM of 2 and 5.
  26. 26.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 12. What is the other number?
  27. 27.Find the LCM of 10 and 16.
  28. 28.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 6. What is the other number?
  29. 29.Find the HCF of 36 and 42.
  30. 30.Find the LCM of 32 and 12.
  31. 31.Find the LCM of 8 and 18.
  32. 32.Find the HCF of 14 and 8.
  33. 33.Find the LCM of 21 and 24.
  34. 34.Find the HCF of 28 and 12.
  35. 35.Find the HCF of 56 and 98.
  36. 36.Find the HCF of 54 and 30.
  37. 37.Find the LCM of 12, 4 and 8.
  38. 38.Find the LCM of 16 and 28.
  39. 39.Find the HCF of 66 and 77.
  40. 40.Find the LCM of 2, 12 and 8.

Answer key

  1. 12
  2. 13
  3. 360
  4. 45
  5. 168
  6. 252
  7. 60
  8. 15
  9. 15
  10. 49
  11. 234
  12. 88
  13. 6
  14. 72
  15. 7
  16. 48
  17. 90
  18. 42
  19. 10
  20. 6
  21. 84
  22. 14
  23. 180
  24. 15
  25. 10
  26. 20
  27. 80
  28. 14
  29. 6
  30. 96
  31. 72
  32. 2
  33. 168
  34. 4
  35. 14
  36. 6
  37. 24
  38. 112
  39. 11
  40. 24

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