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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 2 · 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 24 and 15.
  2. 2.Find the HCF of 117 and 26.
  3. 3.Find the HCF of 12 and 21.
  4. 4.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 4. What is the other number?
  5. 5.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 8. What is the other number?
  6. 6.Find the HCF of 36 and 81.
  7. 7.Find the HCF of 24 and 108.
  8. 8.Find the HCF of 33 and 44.
  9. 9.The HCF of two numbers is 6 and their LCM is 378. One of the numbers is 42. What is the other number?
  10. 10.Find the HCF of 6 and 4.
  11. 11.Find the LCM of 28 and 36.
  12. 12.Find the LCM of 30 and 35.
  13. 13.Find the HCF of 24 and 20.
  14. 14.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 6. What is the other number?
  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.Find the HCF of 65 and 91.
  17. 17.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 42. What is the other number?
  18. 18.Find the HCF of 52 and 117.
  19. 19.Find the LCM of 5 and 6.
  20. 20.Find the LCM of 30 and 54.
  21. 21.Find the LCM of 10 and 6.
  22. 22.Find the HCF of 32 and 36.
  23. 23.Find the HCF of 63 and 18.
  24. 24.Find the LCM of 6 and 15.
  25. 25.Find the HCF of 84 and 96.
  26. 26.Find the LCM of 8, 3 and 15.
  27. 27.Find the LCM of 14, 15 and 10.
  28. 28.Find the LCM of 36 and 42.
  29. 29.Find the LCM of 14, 3 and 2.
  30. 30.Find the LCM of 8 and 7.
  31. 31.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 15. What is the other number?
  32. 32.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 28. What is the other number?
  33. 33.Find the HCF of 24 and 56.
  34. 34.Find the LCM of 13, 4 and 6.
  35. 35.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 27. What is the other number?
  36. 36.The HCF of two numbers is 6 and their LCM is 108. One of the numbers is 12. What is the other number?
  37. 37.Find the LCM of 10 and 18.
  38. 38.Find the LCM of 9 and 5.
  39. 39.Find the LCM of 12, 3 and 10.
  40. 40.Find the LCM of 11, 5 and 4.

Answer key

  1. 3
  2. 13
  3. 3
  4. 18
  5. 36
  6. 9
  7. 12
  8. 11
  9. 54
  10. 2
  11. 252
  12. 210
  13. 4
  14. 27
  15. 14
  16. 13
  17. 24
  18. 13
  19. 30
  20. 270
  21. 30
  22. 4
  23. 9
  24. 30
  25. 12
  26. 120
  27. 210
  28. 252
  29. 42
  30. 56
  31. 9
  32. 12
  33. 8
  34. 156
  35. 36
  36. 54
  37. 90
  38. 45
  39. 60
  40. 220

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