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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 338 · 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 24 and 20.
  2. 2.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 10. What is the other number?
  3. 3.Find the HCF of 84 and 96.
  4. 4.Find the LCM of 5, 9 and 12.
  5. 5.Find the HCF of 72 and 56.
  6. 6.Find the LCM of 6 and 15.
  7. 7.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 63. What is the other number?
  8. 8.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 27. What is the other number?
  9. 9.Find the HCF of 24 and 18.
  10. 10.Find the LCM of 5, 6 and 4.
  11. 11.Find the LCM of 6 and 9.
  12. 12.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 63. What is the other number?
  13. 13.Find the LCM of 10, 9 and 5.
  14. 14.Find the LCM of 6, 8 and 7.
  15. 15.Find the HCF of 42 and 112.
  16. 16.Find the LCM of 6, 10 and 2.
  17. 17.Find the HCF of 9 and 15.
  18. 18.Find the LCM of 10, 9 and 3.
  19. 19.Find the LCM of 8, 5 and 2.
  20. 20.Find the LCM of 2, 7 and 13.
  21. 21.Find the HCF of 25 and 35.
  22. 22.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 45. What is the other number?
  23. 23.Find the LCM of 2, 6 and 3.
  24. 24.Find the LCM of 2, 14 and 6.
  25. 25.Find the LCM of 7 and 8.
  26. 26.Find the HCF of 18 and 45.
  27. 27.Find the LCM of 3 and 8.
  28. 28.Find the LCM of 14, 12 and 3.
  29. 29.Find the LCM of 12, 7 and 3.
  30. 30.Find the HCF of 56 and 126.
  31. 31.Find the LCM of 4, 2 and 12.
  32. 32.Find the LCM of 9 and 8.
  33. 33.Find the LCM of 27 and 21.
  34. 34.Find the HCF of 72 and 84.
  35. 35.Find the HCF of 21 and 6.
  36. 36.Find the HCF of 33 and 55.
  37. 37.Find the LCM of 16 and 6.
  38. 38.Find the LCM of 10 and 45.
  39. 39.Find the LCM of 40 and 25.
  40. 40.Find the LCM of 6 and 21.

Answer key

  1. 4
  2. 16
  3. 12
  4. 180
  5. 8
  6. 30
  7. 49
  8. 24
  9. 6
  10. 60
  11. 18
  12. 35
  13. 90
  14. 168
  15. 14
  16. 30
  17. 3
  18. 90
  19. 40
  20. 182
  21. 5
  22. 36
  23. 6
  24. 42
  25. 56
  26. 9
  27. 24
  28. 84
  29. 84
  30. 14
  31. 12
  32. 72
  33. 189
  34. 12
  35. 3
  36. 11
  37. 48
  38. 90
  39. 200
  40. 42

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