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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 350 · 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 6 and their LCM is 84. One of the numbers is 12. What is the other number?
  2. 2.Find the HCF of 26 and 117.
  3. 3.Find the LCM of 2 and 9.
  4. 4.Find the LCM of 9 and 2.
  5. 5.Find the HCF of 10 and 18.
  6. 6.Find the LCM of 32 and 12.
  7. 7.Find the HCF of 64 and 56.
  8. 8.Find the HCF of 16 and 24.
  9. 9.Find the LCM of 16 and 20.
  10. 10.Find the LCM of 28 and 12.
  11. 11.Find the HCF of 81 and 72.
  12. 12.Find the HCF of 135 and 30.
  13. 13.Find the LCM of 2, 13 and 3.
  14. 14.Find the LCM of 8 and 12.
  15. 15.Find the HCF of 50 and 20.
  16. 16.Find the LCM of 10 and 16.
  17. 17.Find the LCM of 12, 4 and 11.
  18. 18.Find the LCM of 5, 7 and 3.
  19. 19.Find the LCM of 4 and 6.
  20. 20.Find the HCF of 12 and 10.
  21. 21.Find the HCF of 27 and 63.
  22. 22.Find the LCM of 9, 2 and 3.
  23. 23.Find the LCM of 2, 5 and 12.
  24. 24.Find the HCF of 27 and 72.
  25. 25.Find the LCM of 3 and 2.
  26. 26.Find the LCM of 14, 4 and 12.
  27. 27.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 28. What is the other number?
  28. 28.Find the LCM of 2, 12 and 3.
  29. 29.Find the HCF of 24 and 60.
  30. 30.Find the LCM of 14 and 6.
  31. 31.Find the HCF of 70 and 98.
  32. 32.Find the HCF of 49 and 35.
  33. 33.The HCF of two numbers is 5 and their LCM is 225. One of the numbers is 45. What is the other number?
  34. 34.Find the LCM of 8, 11 and 4.
  35. 35.Find the HCF of 18 and 48.
  36. 36.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 48. What is the other number?
  37. 37.Find the HCF of 98 and 84.
  38. 38.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 4. What is the other number?
  39. 39.Find the LCM of 14, 15 and 10.
  40. 40.The HCF of two numbers is 6 and their LCM is 216. One of the numbers is 24. What is the other number?

Answer key

  1. 42
  2. 13
  3. 18
  4. 18
  5. 2
  6. 96
  7. 8
  8. 8
  9. 80
  10. 84
  11. 9
  12. 15
  13. 78
  14. 24
  15. 10
  16. 80
  17. 132
  18. 105
  19. 12
  20. 2
  21. 9
  22. 18
  23. 60
  24. 9
  25. 6
  26. 84
  27. 20
  28. 12
  29. 12
  30. 42
  31. 14
  32. 7
  33. 25
  34. 88
  35. 6
  36. 18
  37. 14
  38. 6
  39. 210
  40. 54

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