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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 198 · 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 10 and 14.
  2. 2.Find the LCM of 6, 13 and 3.
  3. 3.Find the LCM of 4, 7 and 8.
  4. 4.Find the LCM of 2, 8 and 5.
  5. 5.Find the HCF of 20 and 36.
  6. 6.The HCF of two numbers is 8 and their LCM is 360. One of the numbers is 40. What is the other number?
  7. 7.Find the LCM of 15 and 35.
  8. 8.Find the LCM of 4, 14 and 3.
  9. 9.Find the LCM of 15, 8 and 6.
  10. 10.The HCF of two numbers is 4 and their LCM is 120. One of the numbers is 20. What is the other number?
  11. 11.Find the HCF of 35 and 28.
  12. 12.Find the HCF of 42 and 48.
  13. 13.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 45. What is the other number?
  14. 14.Find the HCF of 98 and 56.
  15. 15.Find the LCM of 8 and 6.
  16. 16.Find the HCF of 105 and 30.
  17. 17.Find the LCM of 4, 12 and 6.
  18. 18.Find the HCF of 84 and 36.
  19. 19.Find the LCM of 5, 3 and 12.
  20. 20.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 6. What is the other number?
  21. 21.Find the LCM of 21 and 18.
  22. 22.Find the LCM of 54 and 12.
  23. 23.Find the LCM of 2, 4 and 6.
  24. 24.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 9. What is the other number?
  25. 25.Find the HCF of 98 and 28.
  26. 26.Find the HCF of 70 and 126.
  27. 27.Find the HCF of 56 and 126.
  28. 28.Find the HCF of 104 and 117.
  29. 29.Find the LCM of 6 and 14.
  30. 30.Find the LCM of 45 and 10.
  31. 31.Find the LCM of 2 and 7.
  32. 32.Find the HCF of 42 and 18.
  33. 33.Find the LCM of 7 and 9.
  34. 34.Find the LCM of 10, 6 and 14.
  35. 35.Find the LCM of 4, 6 and 8.
  36. 36.Find the LCM of 45 and 25.
  37. 37.Find the HCF of 21 and 14.
  38. 38.Find the LCM of 2, 7 and 8.
  39. 39.Find the LCM of 9 and 24.
  40. 40.Find the LCM of 21 and 24.

Answer key

  1. 2
  2. 78
  3. 56
  4. 40
  5. 4
  6. 72
  7. 105
  8. 84
  9. 120
  10. 24
  11. 7
  12. 6
  13. 36
  14. 14
  15. 24
  16. 15
  17. 12
  18. 12
  19. 60
  20. 10
  21. 126
  22. 108
  23. 12
  24. 21
  25. 14
  26. 14
  27. 14
  28. 13
  29. 42
  30. 90
  31. 14
  32. 6
  33. 63
  34. 210
  35. 24
  36. 225
  37. 7
  38. 56
  39. 72
  40. 168

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