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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 71 · 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 45 and 35.
  2. 2.Find the LCM of 3, 8 and 15.
  3. 3.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 10. What is the other number?
  4. 4.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 25. What is the other number?
  5. 5.Find the HCF of 108 and 60.
  6. 6.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 18. What is the other number?
  7. 7.Find the LCM of 8, 11 and 4.
  8. 8.Find the LCM of 20 and 24.
  9. 9.Find the LCM of 21 and 27.
  10. 10.Find the LCM of 3, 6 and 7.
  11. 11.Find the LCM of 5, 9 and 15.
  12. 12.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 12. What is the other number?
  13. 13.Find the HCF of 28 and 70.
  14. 14.Find the LCM of 5, 15 and 3.
  15. 15.Find the LCM of 8 and 14.
  16. 16.Find the LCM of 8 and 18.
  17. 17.Find the LCM of 2, 10 and 11.
  18. 18.Find the LCM of 8 and 6.
  19. 19.Find the LCM of 32 and 20.
  20. 20.Find the HCF of 24 and 15.
  21. 21.Find the LCM of 8, 5 and 6.
  22. 22.Find the HCF of 39 and 26.
  23. 23.Find the LCM of 12 and 27.
  24. 24.Find the HCF of 45 and 25.
  25. 25.Find the HCF of 35 and 45.
  26. 26.Find the LCM of 2, 13 and 5.
  27. 27.Find the LCM of 11, 4 and 5.
  28. 28.Find the HCF of 10 and 35.
  29. 29.Find the LCM of 2, 11 and 3.
  30. 30.Find the HCF of 70 and 40.
  31. 31.Find the LCM of 6 and 4.
  32. 32.The HCF of two numbers is 9 and their LCM is 270. One of the numbers is 45. What is the other number?
  33. 33.Find the LCM of 3, 2 and 9.
  34. 34.Find the HCF of 12 and 16.
  35. 35.Find the LCM of 2, 7 and 11.
  36. 36.Find the HCF of 81 and 18.
  37. 37.Find the LCM of 15 and 18.
  38. 38.Find the HCF of 18 and 81.
  39. 39.Find the LCM of 25 and 15.
  40. 40.The HCF of two numbers is 9 and their LCM is 135. One of the numbers is 27. What is the other number?

Answer key

  1. 5
  2. 120
  3. 16
  4. 15
  5. 12
  6. 63
  7. 88
  8. 120
  9. 189
  10. 42
  11. 45
  12. 20
  13. 14
  14. 15
  15. 56
  16. 72
  17. 110
  18. 24
  19. 160
  20. 3
  21. 120
  22. 13
  23. 108
  24. 5
  25. 5
  26. 130
  27. 220
  28. 5
  29. 66
  30. 10
  31. 12
  32. 54
  33. 18
  34. 4
  35. 154
  36. 9
  37. 90
  38. 9
  39. 75
  40. 45

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