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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 562 · 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.The HCF of two numbers is 4 and their LCM is 80. One of the numbers is 16. What is the other number?
  2. 2.Find the LCM of 15 and 18.
  3. 3.Find the HCF of 49 and 63.
  4. 4.Find the LCM of 6 and 21.
  5. 5.Find the LCM of 8 and 7.
  6. 6.Find the HCF of 30 and 45.
  7. 7.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 18. What is the other number?
  8. 8.Find the LCM of 14 and 16.
  9. 9.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 18. What is the other number?
  10. 10.Find the HCF of 42 and 56.
  11. 11.Find the LCM of 30 and 35.
  12. 12.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 42. What is the other number?
  13. 13.Find the LCM of 36 and 8.
  14. 14.Find the HCF of 6 and 8.
  15. 15.Find the HCF of 16 and 18.
  16. 16.Find the LCM of 12, 4 and 10.
  17. 17.Find the LCM of 27 and 21.
  18. 18.Find the HCF of 14 and 49.
  19. 19.Find the LCM of 7, 4 and 6.
  20. 20.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 18. What is the other number?
  21. 21.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 4. What is the other number?
  22. 22.Find the HCF of 9 and 24.
  23. 23.Find the LCM of 4 and 9.
  24. 24.Find the LCM of 14, 3 and 2.
  25. 25.Find the LCM of 13, 5 and 3.
  26. 26.Find the LCM of 20 and 15.
  27. 27.Find the LCM of 2, 10 and 12.
  28. 28.Find the HCF of 20 and 25.
  29. 29.Find the LCM of 7, 10 and 14.
  30. 30.Find the HCF of 54 and 42.
  31. 31.Find the LCM of 14 and 12.
  32. 32.Find the HCF of 42 and 30.
  33. 33.Find the LCM of 25 and 45.
  34. 34.Find the HCF of 25 and 45.
  35. 35.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 6. What is the other number?
  36. 36.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 18. What is the other number?
  37. 37.Find the LCM of 5, 11 and 4.
  38. 38.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 18. What is the other number?
  39. 39.Find the LCM of 3, 6 and 8.
  40. 40.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 9. What is the other number?

Answer key

  1. 20
  2. 90
  3. 7
  4. 42
  5. 56
  6. 15
  7. 27
  8. 112
  9. 48
  10. 14
  11. 210
  12. 18
  13. 72
  14. 2
  15. 2
  16. 60
  17. 189
  18. 7
  19. 84
  20. 8
  21. 18
  22. 3
  23. 36
  24. 42
  25. 195
  26. 60
  27. 60
  28. 5
  29. 70
  30. 6
  31. 84
  32. 6
  33. 225
  34. 5
  35. 9
  36. 14
  37. 220
  38. 12
  39. 24
  40. 15

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