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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 619 · 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 45.
  2. 2.Find the LCM of 6 and 8.
  3. 3.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 36. What is the other number?
  4. 4.Find the HCF of 21 and 49.
  5. 5.Find the LCM of 8, 3 and 5.
  6. 6.Find the HCF of 36 and 81.
  7. 7.Find the HCF of 18 and 24.
  8. 8.Find the HCF of 91 and 65.
  9. 9.Find the LCM of 5 and 6.
  10. 10.Find the HCF of 14 and 21.
  11. 11.Find the LCM of 8 and 6.
  12. 12.Find the HCF of 28 and 63.
  13. 13.Find the LCM of 12, 6 and 9.
  14. 14.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 35. What is the other number?
  15. 15.Find the HCF of 90 and 70.
  16. 16.The HCF of two numbers is 9 and their LCM is 324. One of the numbers is 36. What is the other number?
  17. 17.Find the HCF of 36 and 27.
  18. 18.Find the HCF of 25 and 40.
  19. 19.Find the LCM of 10, 2 and 14.
  20. 20.Find the LCM of 2, 4 and 15.
  21. 21.Find the HCF of 117 and 65.
  22. 22.Find the LCM of 30 and 35.
  23. 23.Find the HCF of 44 and 55.
  24. 24.Find the HCF of 32 and 40.
  25. 25.Find the HCF of 16 and 24.
  26. 26.Find the LCM of 3, 8 and 5.
  27. 27.Find the HCF of 24 and 28.
  28. 28.Find the LCM of 6, 8 and 14.
  29. 29.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 48. What is the other number?
  30. 30.Find the HCF of 12 and 18.
  31. 31.Find the LCM of 32 and 28.
  32. 32.Find the LCM of 5, 12 and 4.
  33. 33.Find the HCF of 52 and 39.
  34. 34.Find the HCF of 45 and 30.
  35. 35.Find the LCM of 18 and 48.
  36. 36.Find the LCM of 48 and 18.
  37. 37.Find the LCM of 12 and 14.
  38. 38.Find the LCM of 24 and 18.
  39. 39.Find the LCM of 48 and 42.
  40. 40.Find the HCF of 63 and 14.

Answer key

  1. 9
  2. 24
  3. 45
  4. 7
  5. 120
  6. 9
  7. 6
  8. 13
  9. 30
  10. 7
  11. 24
  12. 7
  13. 36
  14. 15
  15. 10
  16. 81
  17. 9
  18. 5
  19. 70
  20. 60
  21. 13
  22. 210
  23. 11
  24. 8
  25. 8
  26. 120
  27. 4
  28. 168
  29. 18
  30. 6
  31. 224
  32. 60
  33. 13
  34. 15
  35. 144
  36. 144
  37. 84
  38. 72
  39. 336
  40. 7

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