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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 683 · 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 50 and 90.
  2. 2.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 48. What is the other number?
  3. 3.Find the LCM of 45 and 10.
  4. 4.Find the HCF of 42 and 70.
  5. 5.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 12. What is the other number?
  6. 6.Find the LCM of 10, 2 and 14.
  7. 7.Find the LCM of 6 and 15.
  8. 8.Find the LCM of 12, 4 and 13.
  9. 9.Find the LCM of 12, 3 and 9.
  10. 10.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 16. What is the other number?
  11. 11.Find the LCM of 3, 8 and 9.
  12. 12.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 8. What is the other number?
  13. 13.Find the LCM of 12 and 9.
  14. 14.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 4. What is the other number?
  15. 15.Find the LCM of 8, 3 and 10.
  16. 16.Find the LCM of 2 and 9.
  17. 17.Find the LCM of 14 and 8.
  18. 18.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 12. What is the other number?
  19. 19.Find the LCM of 16 and 20.
  20. 20.Find the LCM of 25 and 35.
  21. 21.Find the LCM of 14 and 6.
  22. 22.Find the LCM of 7 and 4.
  23. 23.Find the LCM of 2, 3 and 9.
  24. 24.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 12. What is the other number?
  25. 25.Find the LCM of 14, 2 and 5.
  26. 26.Find the LCM of 12 and 28.
  27. 27.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 4. What is the other number?
  28. 28.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 6. What is the other number?
  29. 29.Find the LCM of 54 and 48.
  30. 30.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 21. What is the other number?
  31. 31.Find the LCM of 18 and 16.
  32. 32.Find the LCM of 16 and 6.
  33. 33.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 30. What is the other number?
  34. 34.Find the HCF of 28 and 49.
  35. 35.Find the LCM of 15, 9 and 4.
  36. 36.Find the HCF of 42 and 112.
  37. 37.Find the LCM of 18 and 4.
  38. 38.Find the HCF of 24 and 40.
  39. 39.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 8. What is the other number?
  40. 40.Find the HCF of 8 and 36.

Answer key

  1. 10
  2. 56
  3. 90
  4. 14
  5. 27
  6. 70
  7. 30
  8. 156
  9. 36
  10. 72
  11. 72
  12. 36
  13. 36
  14. 18
  15. 120
  16. 18
  17. 56
  18. 20
  19. 80
  20. 175
  21. 42
  22. 28
  23. 18
  24. 8
  25. 70
  26. 84
  27. 10
  28. 14
  29. 432
  30. 14
  31. 144
  32. 48
  33. 18
  34. 7
  35. 180
  36. 14
  37. 36
  38. 8
  39. 20
  40. 4

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