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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 11 · 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 81 and 72.
  2. 2.Find the LCM of 10 and 16.
  3. 3.Find the LCM of 4, 15 and 5.
  4. 4.Find the HCF of 56 and 16.
  5. 5.Find the HCF of 80 and 70.
  6. 6.Find the LCM of 21 and 15.
  7. 7.Find the HCF of 108 and 84.
  8. 8.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 16. What is the other number?
  9. 9.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 9. What is the other number?
  10. 10.Find the LCM of 9, 5 and 15.
  11. 11.Find the LCM of 20 and 8.
  12. 12.Find the HCF of 21 and 24.
  13. 13.Find the LCM of 12, 7 and 6.
  14. 14.Find the HCF of 54 and 45.
  15. 15.Find the LCM of 10 and 18.
  16. 16.Find the LCM of 4, 6 and 11.
  17. 17.Find the LCM of 2, 9 and 10.
  18. 18.Find the LCM of 15, 6 and 4.
  19. 19.Find the LCM of 27 and 6.
  20. 20.Find the LCM of 13, 3 and 4.
  21. 21.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 18. What is the other number?
  22. 22.Find the LCM of 25 and 30.
  23. 23.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 24. What is the other number?
  24. 24.Find the HCF of 105 and 120.
  25. 25.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 32. What is the other number?
  26. 26.Find the LCM of 7 and 4.
  27. 27.Find the LCM of 28 and 12.
  28. 28.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 10. What is the other number?
  29. 29.Find the LCM of 3 and 2.
  30. 30.Find the HCF of 105 and 60.
  31. 31.Find the HCF of 27 and 45.
  32. 32.Find the HCF of 90 and 20.
  33. 33.Find the HCF of 24 and 20.
  34. 34.Find the LCM of 5, 6 and 3.
  35. 35.Find the HCF of 49 and 56.
  36. 36.Find the HCF of 84 and 24.
  37. 37.Find the LCM of 7 and 3.
  38. 38.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 35. What is the other number?
  39. 39.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 45. What is the other number?
  40. 40.Find the LCM of 10, 14 and 3.

Answer key

  1. 9
  2. 80
  3. 60
  4. 8
  5. 10
  6. 105
  7. 12
  8. 14
  9. 21
  10. 45
  11. 40
  12. 3
  13. 84
  14. 9
  15. 90
  16. 132
  17. 90
  18. 60
  19. 54
  20. 156
  21. 27
  22. 150
  23. 42
  24. 15
  25. 12
  26. 28
  27. 84
  28. 35
  29. 6
  30. 15
  31. 9
  32. 10
  33. 4
  34. 30
  35. 7
  36. 12
  37. 21
  38. 63
  39. 18
  40. 210

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