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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 621 · 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 63 and 18.
  2. 2.Find the LCM of 5 and 9.
  3. 3.Find the LCM of 18 and 16.
  4. 4.Find the LCM of 10 and 35.
  5. 5.Find the HCF of 80 and 50.
  6. 6.Find the LCM of 6, 2 and 15.
  7. 7.Find the LCM of 12 and 10.
  8. 8.Find the LCM of 8 and 36.
  9. 9.Find the HCF of 126 and 28.
  10. 10.Find the LCM of 10, 2 and 15.
  11. 11.Find the LCM of 27 and 12.
  12. 12.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 24. What is the other number?
  13. 13.Find the HCF of 35 and 10.
  14. 14.Find the LCM of 15 and 25.
  15. 15.Find the LCM of 8, 11 and 4.
  16. 16.Find the LCM of 6, 8 and 15.
  17. 17.Find the HCF of 10 and 12.
  18. 18.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 16. What is the other number?
  19. 19.Find the LCM of 5, 10 and 4.
  20. 20.Find the HCF of 36 and 81.
  21. 21.The HCF of two numbers is 8 and their LCM is 504. One of the numbers is 56. What is the other number?
  22. 22.Find the LCM of 30 and 42.
  23. 23.Find the HCF of 18 and 63.
  24. 24.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 21. What is the other number?
  25. 25.Find the LCM of 5, 15 and 7.
  26. 26.Find the LCM of 14, 3 and 8.
  27. 27.Find the HCF of 77 and 99.
  28. 28.Find the LCM of 3, 6 and 10.
  29. 29.Find the LCM of 5 and 3.
  30. 30.Find the LCM of 15, 14 and 10.
  31. 31.Find the LCM of 15, 8 and 4.
  32. 32.The HCF of two numbers is 3 and their LCM is 168. One of the numbers is 21. What is the other number?
  33. 33.Find the LCM of 6 and 15.
  34. 34.Find the LCM of 2 and 3.
  35. 35.Find the HCF of 24 and 84.
  36. 36.Find the LCM of 14 and 18.
  37. 37.Find the LCM of 2, 12 and 8.
  38. 38.Find the LCM of 16 and 36.
  39. 39.The HCF of two numbers is 6 and their LCM is 216. One of the numbers is 24. What is the other number?
  40. 40.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 10. What is the other number?

Answer key

  1. 9
  2. 45
  3. 144
  4. 70
  5. 10
  6. 30
  7. 60
  8. 72
  9. 14
  10. 30
  11. 108
  12. 42
  13. 5
  14. 75
  15. 88
  16. 120
  17. 2
  18. 12
  19. 20
  20. 9
  21. 72
  22. 210
  23. 9
  24. 14
  25. 105
  26. 168
  27. 11
  28. 30
  29. 15
  30. 210
  31. 120
  32. 24
  33. 30
  34. 6
  35. 12
  36. 126
  37. 24
  38. 144
  39. 54
  40. 6

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