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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 456 · 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 105 and 30.
  2. 2.Find the LCM of 6, 2 and 3.
  3. 3.Find the LCM of 4, 11 and 3.
  4. 4.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 10. What is the other number?
  5. 5.Find the HCF of 75 and 135.
  6. 6.Find the LCM of 9, 10 and 12.
  7. 7.Find the HCF of 30 and 75.
  8. 8.Find the HCF of 22 and 99.
  9. 9.Find the LCM of 6 and 7.
  10. 10.Find the LCM of 12, 5 and 4.
  11. 11.Find the LCM of 27 and 12.
  12. 12.Find the HCF of 60 and 75.
  13. 13.Find the LCM of 14, 9 and 3.
  14. 14.Find the LCM of 6, 10 and 9.
  15. 15.Find the LCM of 6 and 27.
  16. 16.Find the LCM of 14, 2 and 11.
  17. 17.Find the HCF of 55 and 22.
  18. 18.Find the HCF of 104 and 39.
  19. 19.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 32. What is the other number?
  20. 20.Find the LCM of 25 and 15.
  21. 21.Find the HCF of 32 and 28.
  22. 22.Find the LCM of 10 and 16.
  23. 23.Find the LCM of 2, 12 and 8.
  24. 24.Find the HCF of 28 and 24.
  25. 25.Find the LCM of 4, 13 and 6.
  26. 26.Find the HCF of 27 and 36.
  27. 27.Find the LCM of 18 and 8.
  28. 28.The HCF of two numbers is 8 and their LCM is 504. One of the numbers is 72. What is the other number?
  29. 29.Find the LCM of 5 and 7.
  30. 30.Find the HCF of 16 and 20.
  31. 31.Find the HCF of 28 and 12.
  32. 32.Find the LCM of 5, 8 and 10.
  33. 33.Find the HCF of 21 and 9.
  34. 34.Find the LCM of 20 and 16.
  35. 35.Find the HCF of 36 and 96.
  36. 36.Find the LCM of 2, 3 and 4.
  37. 37.Find the LCM of 2 and 9.
  38. 38.Find the LCM of 30 and 12.
  39. 39.Find the LCM of 10, 12 and 8.
  40. 40.Find the HCF of 24 and 9.

Answer key

  1. 15
  2. 6
  3. 132
  4. 45
  5. 15
  6. 180
  7. 15
  8. 11
  9. 42
  10. 60
  11. 108
  12. 15
  13. 126
  14. 90
  15. 54
  16. 154
  17. 11
  18. 13
  19. 12
  20. 75
  21. 4
  22. 80
  23. 24
  24. 4
  25. 156
  26. 9
  27. 72
  28. 56
  29. 35
  30. 4
  31. 4
  32. 40
  33. 3
  34. 80
  35. 12
  36. 12
  37. 18
  38. 60
  39. 120
  40. 3

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