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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 722 · 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 3 and their LCM is 30. One of the numbers is 15. What is the other number?
  2. 2.Find the LCM of 5, 10 and 8.
  3. 3.Find the LCM of 7 and 6.
  4. 4.Find the HCF of 90 and 80.
  5. 5.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 63. What is the other number?
  6. 6.Find the LCM of 8, 15 and 6.
  7. 7.Find the HCF of 20 and 35.
  8. 8.Find the LCM of 7, 4 and 3.
  9. 9.Find the LCM of 6 and 7.
  10. 10.Find the LCM of 7 and 5.
  11. 11.Find the HCF of 12 and 28.
  12. 12.Find the LCM of 24 and 27.
  13. 13.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 36. What is the other number?
  14. 14.Find the LCM of 3, 15 and 2.
  15. 15.Find the LCM of 12 and 8.
  16. 16.Find the HCF of 21 and 14.
  17. 17.Find the HCF of 20 and 32.
  18. 18.Find the HCF of 30 and 135.
  19. 19.Find the LCM of 9, 6 and 10.
  20. 20.Find the LCM of 2, 10 and 5.
  21. 21.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 14. What is the other number?
  22. 22.Find the HCF of 40 and 32.
  23. 23.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 21. What is the other number?
  24. 24.Find the LCM of 2, 11 and 7.
  25. 25.Find the HCF of 50 and 70.
  26. 26.Find the HCF of 24 and 40.
  27. 27.Find the LCM of 54 and 12.
  28. 28.Find the LCM of 3 and 4.
  29. 29.Find the LCM of 48 and 30.
  30. 30.The HCF of two numbers is 8 and their LCM is 576. One of the numbers is 72. What is the other number?
  31. 31.Find the HCF of 48 and 56.
  32. 32.Find the LCM of 16 and 6.
  33. 33.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 14. What is the other number?
  34. 34.Find the LCM of 28 and 8.
  35. 35.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 20. What is the other number?
  36. 36.The HCF of two numbers is 9 and their LCM is 324. One of the numbers is 36. What is the other number?
  37. 37.The HCF of two numbers is 8 and their LCM is 360. One of the numbers is 72. What is the other number?
  38. 38.Find the LCM of 42 and 18.
  39. 39.Find the HCF of 15 and 21.
  40. 40.Find the HCF of 8 and 10.

Answer key

  1. 6
  2. 40
  3. 42
  4. 10
  5. 14
  6. 120
  7. 5
  8. 84
  9. 42
  10. 35
  11. 4
  12. 216
  13. 27
  14. 30
  15. 24
  16. 7
  17. 4
  18. 15
  19. 90
  20. 10
  21. 63
  22. 8
  23. 12
  24. 154
  25. 10
  26. 8
  27. 108
  28. 12
  29. 240
  30. 64
  31. 8
  32. 48
  33. 8
  34. 56
  35. 15
  36. 81
  37. 40
  38. 126
  39. 3
  40. 2

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