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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 492 · 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 18 and 24.
  2. 2.Find the LCM of 8, 12 and 4.
  3. 3.Find the HCF of 126 and 56.
  4. 4.Find the LCM of 14, 4 and 6.
  5. 5.Find the HCF of 9 and 15.
  6. 6.Find the LCM of 12, 5 and 15.
  7. 7.Find the LCM of 5 and 3.
  8. 8.Find the LCM of 3, 9 and 2.
  9. 9.Find the HCF of 24 and 108.
  10. 10.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 28. What is the other number?
  11. 11.Find the HCF of 8 and 10.
  12. 12.Find the LCM of 2, 10 and 6.
  13. 13.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 4. What is the other number?
  14. 14.Find the HCF of 6 and 27.
  15. 15.Find the HCF of 26 and 117.
  16. 16.The HCF of two numbers is 5 and their LCM is 360. One of the numbers is 45. What is the other number?
  17. 17.Find the HCF of 48 and 36.
  18. 18.Find the LCM of 18 and 10.
  19. 19.Find the LCM of 4 and 10.
  20. 20.Find the HCF of 72 and 16.
  21. 21.Find the LCM of 25 and 20.
  22. 22.Find the HCF of 12 and 16.
  23. 23.Find the LCM of 21 and 12.
  24. 24.Find the LCM of 7 and 2.
  25. 25.Find the LCM of 2, 3 and 4.
  26. 26.Find the HCF of 56 and 63.
  27. 27.Find the LCM of 28 and 8.
  28. 28.Find the LCM of 3, 14 and 2.
  29. 29.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 45. What is the other number?
  30. 30.Find the HCF of 135 and 105.
  31. 31.Find the LCM of 3, 15 and 2.
  32. 32.Find the HCF of 30 and 12.
  33. 33.Find the HCF of 8 and 12.
  34. 34.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 14. What is the other number?
  35. 35.Find the LCM of 9, 6 and 11.
  36. 36.Find the HCF of 16 and 24.
  37. 37.Find the LCM of 4, 10 and 3.
  38. 38.Find the HCF of 15 and 27.
  39. 39.Find the LCM of 10 and 6.
  40. 40.Find the LCM of 11, 3 and 9.

Answer key

  1. 6
  2. 24
  3. 14
  4. 84
  5. 3
  6. 60
  7. 15
  8. 18
  9. 12
  10. 32
  11. 2
  12. 30
  13. 6
  14. 3
  15. 13
  16. 40
  17. 12
  18. 90
  19. 20
  20. 8
  21. 100
  22. 4
  23. 84
  24. 14
  25. 12
  26. 7
  27. 56
  28. 42
  29. 18
  30. 15
  31. 30
  32. 6
  33. 4
  34. 12
  35. 198
  36. 8
  37. 60
  38. 3
  39. 30
  40. 99

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