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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 191 · 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, 3 and 4.
  2. 2.Find the HCF of 28 and 49.
  3. 3.Find the HCF of 33 and 22.
  4. 4.Find the LCM of 12, 9 and 8.
  5. 5.Find the LCM of 6 and 9.
  6. 6.Find the HCF of 27 and 12.
  7. 7.Find the HCF of 117 and 26.
  8. 8.Find the HCF of 81 and 45.
  9. 9.Find the LCM of 3, 6 and 15.
  10. 10.Find the HCF of 44 and 55.
  11. 11.Find the LCM of 3 and 2.
  12. 12.Find the HCF of 50 and 40.
  13. 13.Find the LCM of 5, 12 and 3.
  14. 14.Find the LCM of 7 and 8.
  15. 15.Find the LCM of 5, 2 and 4.
  16. 16.Find the HCF of 26 and 91.
  17. 17.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 27. What is the other number?
  18. 18.Find the HCF of 60 and 70.
  19. 19.Find the LCM of 2, 3 and 11.
  20. 20.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 36. What is the other number?
  21. 21.Find the LCM of 27 and 24.
  22. 22.Find the LCM of 4 and 9.
  23. 23.Find the LCM of 3 and 8.
  24. 24.The HCF of two numbers is 6 and their LCM is 108. One of the numbers is 54. What is the other number?
  25. 25.The HCF of two numbers is 8 and their LCM is 192. One of the numbers is 24. What is the other number?
  26. 26.Find the HCF of 72 and 64.
  27. 27.Find the HCF of 24 and 15.
  28. 28.Find the LCM of 8 and 28.
  29. 29.Find the HCF of 56 and 64.
  30. 30.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 9. What is the other number?
  31. 31.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 81. What is the other number?
  32. 32.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 49. What is the other number?
  33. 33.Find the LCM of 3, 6 and 7.
  34. 34.Find the HCF of 16 and 72.
  35. 35.Find the LCM of 7, 8 and 3.
  36. 36.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 40. What is the other number?
  37. 37.Find the LCM of 14, 2 and 6.
  38. 38.Find the HCF of 98 and 28.
  39. 39.Find the LCM of 3, 6 and 12.
  40. 40.Find the LCM of 7 and 9.

Answer key

  1. 36
  2. 7
  3. 11
  4. 72
  5. 18
  6. 3
  7. 13
  8. 9
  9. 30
  10. 11
  11. 6
  12. 10
  13. 60
  14. 56
  15. 20
  16. 13
  17. 18
  18. 10
  19. 66
  20. 27
  21. 216
  22. 36
  23. 24
  24. 12
  25. 64
  26. 8
  27. 3
  28. 56
  29. 8
  30. 6
  31. 18
  32. 63
  33. 42
  34. 8
  35. 168
  36. 32
  37. 42
  38. 14
  39. 12
  40. 63

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