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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 696 · 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 3 and their LCM is 168. One of the numbers is 24. What is the other number?
  2. 2.Find the LCM of 12 and 27.
  3. 3.Find the HCF of 81 and 72.
  4. 4.Find the LCM of 5, 8 and 2.
  5. 5.Find the HCF of 20 and 90.
  6. 6.Find the HCF of 16 and 10.
  7. 7.Find the LCM of 8 and 18.
  8. 8.Find the HCF of 30 and 54.
  9. 9.Find the LCM of 20 and 25.
  10. 10.Find the HCF of 60 and 96.
  11. 11.Find the HCF of 24 and 42.
  12. 12.Find the LCM of 7 and 6.
  13. 13.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 49. What is the other number?
  14. 14.Find the HCF of 25 and 15.
  15. 15.Find the HCF of 42 and 18.
  16. 16.The HCF of two numbers is 5 and their LCM is 140. One of the numbers is 20. What is the other number?
  17. 17.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 49. What is the other number?
  18. 18.Find the HCF of 18 and 63.
  19. 19.Find the LCM of 9, 8 and 4.
  20. 20.Find the LCM of 5 and 4.
  21. 21.Find the LCM of 2, 7 and 6.
  22. 22.Find the LCM of 14, 7 and 13.
  23. 23.Find the HCF of 12 and 20.
  24. 24.Find the HCF of 60 and 75.
  25. 25.Find the HCF of 35 and 15.
  26. 26.Find the HCF of 56 and 40.
  27. 27.Find the HCF of 49 and 28.
  28. 28.Find the LCM of 30 and 54.
  29. 29.Find the LCM of 5, 14 and 4.
  30. 30.Find the HCF of 9 and 15.
  31. 31.Find the HCF of 32 and 36.
  32. 32.Find the HCF of 99 and 88.
  33. 33.The HCF of two numbers is 8 and their LCM is 504. One of the numbers is 72. What is the other number?
  34. 34.Find the LCM of 11, 2 and 8.
  35. 35.Find the HCF of 24 and 15.
  36. 36.Find the HCF of 48 and 18.
  37. 37.Find the HCF of 90 and 80.
  38. 38.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 6. What is the other number?
  39. 39.Find the LCM of 10, 13 and 5.
  40. 40.Find the LCM of 11, 3 and 2.

Answer key

  1. 21
  2. 108
  3. 9
  4. 40
  5. 10
  6. 2
  7. 72
  8. 6
  9. 100
  10. 12
  11. 6
  12. 42
  13. 63
  14. 5
  15. 6
  16. 35
  17. 14
  18. 9
  19. 72
  20. 20
  21. 42
  22. 182
  23. 4
  24. 15
  25. 5
  26. 8
  27. 7
  28. 270
  29. 140
  30. 3
  31. 4
  32. 11
  33. 56
  34. 88
  35. 3
  36. 6
  37. 10
  38. 15
  39. 130
  40. 66

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