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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 484 · 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 4 and 10.
  2. 2.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 12. What is the other number?
  3. 3.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 9. What is the other number?
  4. 4.Find the LCM of 35 and 15.
  5. 5.Find the LCM of 18 and 8.
  6. 6.Find the LCM of 12 and 14.
  7. 7.Find the HCF of 18 and 30.
  8. 8.Find the LCM of 14, 15 and 3.
  9. 9.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 25. What is the other number?
  10. 10.Find the LCM of 4, 8 and 13.
  11. 11.The HCF of two numbers is 6 and their LCM is 216. One of the numbers is 24. What is the other number?
  12. 12.Find the HCF of 9 and 21.
  13. 13.Find the LCM of 10 and 16.
  14. 14.Find the LCM of 3 and 2.
  15. 15.Find the LCM of 8 and 9.
  16. 16.The HCF of two numbers is 9 and their LCM is 324. One of the numbers is 81. What is the other number?
  17. 17.Find the LCM of 30 and 48.
  18. 18.Find the LCM of 14, 10 and 4.
  19. 19.Find the LCM of 6, 7 and 3.
  20. 20.Find the HCF of 24 and 27.
  21. 21.Find the LCM of 2, 3 and 5.
  22. 22.Find the LCM of 20 and 16.
  23. 23.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 48. What is the other number?
  24. 24.Find the LCM of 15 and 40.
  25. 25.Find the LCM of 24 and 15.
  26. 26.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 16. What is the other number?
  27. 27.Find the LCM of 5, 3 and 14.
  28. 28.Find the HCF of 48 and 30.
  29. 29.Find the HCF of 20 and 28.
  30. 30.The HCF of two numbers is 5 and their LCM is 180. One of the numbers is 20. What is the other number?
  31. 31.Find the LCM of 15 and 21.
  32. 32.Find the HCF of 24 and 16.
  33. 33.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 63. What is the other number?
  34. 34.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 49. What is the other number?
  35. 35.The HCF of two numbers is 3 and their LCM is 168. One of the numbers is 24. What is the other number?
  36. 36.Find the LCM of 6 and 27.
  37. 37.Find the HCF of 120 and 135.
  38. 38.Find the HCF of 99 and 22.
  39. 39.Find the HCF of 135 and 75.
  40. 40.Find the HCF of 48 and 40.

Answer key

  1. 2
  2. 21
  3. 12
  4. 105
  5. 72
  6. 84
  7. 6
  8. 210
  9. 15
  10. 104
  11. 54
  12. 3
  13. 80
  14. 6
  15. 72
  16. 36
  17. 240
  18. 140
  19. 42
  20. 3
  21. 30
  22. 80
  23. 18
  24. 120
  25. 120
  26. 18
  27. 210
  28. 6
  29. 4
  30. 45
  31. 105
  32. 8
  33. 18
  34. 14
  35. 21
  36. 54
  37. 15
  38. 11
  39. 15
  40. 8

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