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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 493 · 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 30 and 20.
  2. 2.The HCF of two numbers is 5 and their LCM is 200. One of the numbers is 25. What is the other number?
  3. 3.Find the LCM of 21 and 12.
  4. 4.Find the HCF of 18 and 27.
  5. 5.Find the HCF of 70 and 20.
  6. 6.Find the LCM of 2, 4 and 6.
  7. 7.Find the LCM of 10, 5 and 8.
  8. 8.Find the LCM of 4, 7 and 3.
  9. 9.Find the LCM of 16 and 12.
  10. 10.Find the LCM of 8 and 12.
  11. 11.Find the HCF of 50 and 90.
  12. 12.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 4. What is the other number?
  13. 13.Find the HCF of 18 and 14.
  14. 14.Find the LCM of 3 and 2.
  15. 15.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 4. What is the other number?
  16. 16.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 16. What is the other number?
  17. 17.Find the LCM of 36 and 28.
  18. 18.Find the LCM of 15, 2 and 7.
  19. 19.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 6. What is the other number?
  20. 20.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 32. What is the other number?
  21. 21.Find the LCM of 32 and 12.
  22. 22.Find the HCF of 28 and 42.
  23. 23.Find the HCF of 21 and 56.
  24. 24.Find the LCM of 40 and 25.
  25. 25.Find the LCM of 14 and 10.
  26. 26.Find the HCF of 45 and 36.
  27. 27.Find the HCF of 63 and 14.
  28. 28.Find the LCM of 5, 3 and 12.
  29. 29.Find the LCM of 15 and 10.
  30. 30.The HCF of two numbers is 8 and their LCM is 576. One of the numbers is 64. What is the other number?
  31. 31.Find the LCM of 18 and 42.
  32. 32.Find the LCM of 5, 4 and 11.
  33. 33.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 14. What is the other number?
  34. 34.Find the HCF of 20 and 32.
  35. 35.Find the LCM of 15 and 6.
  36. 36.Find the LCM of 18 and 12.
  37. 37.Find the HCF of 99 and 77.
  38. 38.Find the LCM of 8, 7 and 6.
  39. 39.The HCF of two numbers is 4 and their LCM is 168. One of the numbers is 28. What is the other number?
  40. 40.Find the LCM of 54 and 42.

Answer key

  1. 10
  2. 40
  3. 84
  4. 9
  5. 10
  6. 12
  7. 40
  8. 84
  9. 48
  10. 24
  11. 10
  12. 18
  13. 2
  14. 6
  15. 14
  16. 28
  17. 252
  18. 210
  19. 16
  20. 36
  21. 96
  22. 14
  23. 7
  24. 200
  25. 70
  26. 9
  27. 7
  28. 60
  29. 30
  30. 72
  31. 126
  32. 220
  33. 6
  34. 4
  35. 30
  36. 36
  37. 11
  38. 168
  39. 24
  40. 378

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