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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 343 · 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 14 and 18.
  2. 2.Find the HCF of 55 and 22.
  3. 3.Find the HCF of 24 and 9.
  4. 4.Find the HCF of 32 and 12.
  5. 5.Find the LCM of 4, 14 and 5.
  6. 6.Find the LCM of 12, 2 and 14.
  7. 7.Find the LCM of 12 and 9.
  8. 8.Find the LCM of 3, 9 and 12.
  9. 9.Find the LCM of 2, 15 and 9.
  10. 10.Find the HCF of 16 and 12.
  11. 11.Find the LCM of 6, 4 and 15.
  12. 12.Find the LCM of 3, 4 and 15.
  13. 13.Find the LCM of 54 and 42.
  14. 14.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 18. What is the other number?
  15. 15.Find the LCM of 2, 6 and 13.
  16. 16.Find the LCM of 11, 5 and 2.
  17. 17.Find the HCF of 60 and 70.
  18. 18.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 63. What is the other number?
  19. 19.Find the HCF of 28 and 16.
  20. 20.Find the HCF of 6 and 4.
  21. 21.Find the LCM of 4, 11 and 8.
  22. 22.Find the LCM of 30 and 12.
  23. 23.The HCF of two numbers is 6 and their LCM is 270. One of the numbers is 54. What is the other number?
  24. 24.Find the HCF of 63 and 54.
  25. 25.Find the LCM of 4 and 6.
  26. 26.Find the HCF of 78 and 91.
  27. 27.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 27. What is the other number?
  28. 28.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 21. What is the other number?
  29. 29.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 49. What is the other number?
  30. 30.Find the HCF of 104 and 39.
  31. 31.Find the HCF of 40 and 32.
  32. 32.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 14. What is the other number?
  33. 33.Find the HCF of 12 and 20.
  34. 34.Find the LCM of 3, 8 and 14.
  35. 35.Find the LCM of 28 and 20.
  36. 36.Find the LCM of 42 and 48.
  37. 37.Find the HCF of 36 and 81.
  38. 38.Find the LCM of 14, 2 and 6.
  39. 39.Find the HCF of 15 and 40.
  40. 40.Find the LCM of 9, 6 and 4.

Answer key

  1. 2
  2. 11
  3. 3
  4. 4
  5. 140
  6. 84
  7. 36
  8. 36
  9. 90
  10. 4
  11. 60
  12. 60
  13. 378
  14. 21
  15. 78
  16. 110
  17. 10
  18. 49
  19. 4
  20. 2
  21. 88
  22. 60
  23. 30
  24. 9
  25. 12
  26. 13
  27. 72
  28. 9
  29. 14
  30. 13
  31. 8
  32. 8
  33. 4
  34. 168
  35. 140
  36. 336
  37. 9
  38. 42
  39. 5
  40. 36

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