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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 409 · 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 LCM of 9 and 8.
  2. 2.Find the HCF of 55 and 44.
  3. 3.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 18. What is the other number?
  4. 4.Find the LCM of 2 and 3.
  5. 5.Find the HCF of 90 and 50.
  6. 6.Find the LCM of 12 and 30.
  7. 7.Find the LCM of 8 and 9.
  8. 8.The HCF of two numbers is 7 and their LCM is 294. One of the numbers is 42. What is the other number?
  9. 9.Find the HCF of 63 and 27.
  10. 10.Find the LCM of 3, 6 and 5.
  11. 11.Find the LCM of 5, 9 and 3.
  12. 12.Find the LCM of 3, 14 and 4.
  13. 13.Find the HCF of 14 and 35.
  14. 14.Find the HCF of 18 and 15.
  15. 15.Find the LCM of 28 and 8.
  16. 16.Find the LCM of 6, 11 and 2.
  17. 17.Find the HCF of 20 and 90.
  18. 18.Find the LCM of 24 and 54.
  19. 19.Find the LCM of 2, 3 and 6.
  20. 20.Find the HCF of 18 and 4.
  21. 21.Find the HCF of 14 and 6.
  22. 22.Find the HCF of 42 and 49.
  23. 23.Find the HCF of 104 and 39.
  24. 24.Find the HCF of 48 and 108.
  25. 25.Find the LCM of 2, 14 and 5.
  26. 26.Find the HCF of 40 and 25.
  27. 27.Find the LCM of 3, 2 and 13.
  28. 28.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 36. What is the other number?
  29. 29.Find the HCF of 75 and 30.
  30. 30.Find the LCM of 6, 12 and 8.
  31. 31.Find the HCF of 48 and 54.
  32. 32.Find the LCM of 10 and 15.
  33. 33.Find the HCF of 65 and 91.
  34. 34.Find the HCF of 16 and 40.
  35. 35.Find the LCM of 10 and 45.
  36. 36.Find the LCM of 10, 15 and 9.
  37. 37.Find the LCM of 12, 5 and 10.
  38. 38.Find the LCM of 15 and 20.
  39. 39.Find the HCF of 75 and 45.
  40. 40.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 6. What is the other number?

Answer key

  1. 72
  2. 11
  3. 10
  4. 6
  5. 10
  6. 60
  7. 72
  8. 49
  9. 9
  10. 30
  11. 45
  12. 84
  13. 7
  14. 3
  15. 56
  16. 66
  17. 10
  18. 216
  19. 6
  20. 2
  21. 2
  22. 7
  23. 13
  24. 12
  25. 70
  26. 5
  27. 78
  28. 27
  29. 15
  30. 24
  31. 6
  32. 30
  33. 13
  34. 8
  35. 90
  36. 90
  37. 60
  38. 60
  39. 15
  40. 8

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