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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 378 · 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 22 and 55.
  2. 2.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 24. What is the other number?
  3. 3.Find the LCM of 48 and 42.
  4. 4.The HCF of two numbers is 4 and their LCM is 252. One of the numbers is 36. What is the other number?
  5. 5.The HCF of two numbers is 3 and their LCM is 90. One of the numbers is 18. What is the other number?
  6. 6.Find the LCM of 3 and 2.
  7. 7.Find the LCM of 6, 5 and 15.
  8. 8.Find the LCM of 15 and 6.
  9. 9.Find the LCM of 7, 2 and 3.
  10. 10.Find the HCF of 18 and 14.
  11. 11.Find the HCF of 12 and 8.
  12. 12.Find the LCM of 8 and 18.
  13. 13.The HCF of two numbers is 6 and their LCM is 108. One of the numbers is 12. What is the other number?
  14. 14.Find the LCM of 3, 5 and 9.
  15. 15.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 28. What is the other number?
  16. 16.Find the LCM of 4, 8 and 14.
  17. 17.Find the LCM of 25 and 35.
  18. 18.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 36. What is the other number?
  19. 19.Find the LCM of 8 and 14.
  20. 20.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 9. What is the other number?
  21. 21.Find the HCF of 40 and 56.
  22. 22.Find the LCM of 14 and 18.
  23. 23.Find the LCM of 5 and 2.
  24. 24.Find the LCM of 4, 8 and 10.
  25. 25.Find the LCM of 14, 11 and 2.
  26. 26.Find the HCF of 91 and 117.
  27. 27.Find the LCM of 10, 4 and 15.
  28. 28.Find the HCF of 15 and 9.
  29. 29.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 24. What is the other number?
  30. 30.Find the LCM of 42 and 12.
  31. 31.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 45. What is the other number?
  32. 32.Find the LCM of 42 and 36.
  33. 33.Find the HCF of 36 and 8.
  34. 34.Find the HCF of 24 and 64.
  35. 35.Find the LCM of 9, 6 and 13.
  36. 36.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 30. What is the other number?
  37. 37.Find the LCM of 14, 5 and 6.
  38. 38.Find the HCF of 108 and 60.
  39. 39.Find the LCM of 45 and 10.
  40. 40.Find the HCF of 48 and 18.

Answer key

  1. 11
  2. 18
  3. 336
  4. 28
  5. 15
  6. 6
  7. 30
  8. 30
  9. 42
  10. 2
  11. 4
  12. 72
  13. 54
  14. 45
  15. 20
  16. 56
  17. 175
  18. 45
  19. 56
  20. 15
  21. 8
  22. 126
  23. 10
  24. 40
  25. 154
  26. 13
  27. 60
  28. 3
  29. 42
  30. 84
  31. 36
  32. 252
  33. 4
  34. 8
  35. 234
  36. 18
  37. 210
  38. 12
  39. 90
  40. 6

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