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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 330 · 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 42 and 18.
  2. 2.Find the HCF of 25 and 40.
  3. 3.Find the LCM of 35 and 40.
  4. 4.Find the LCM of 12, 7 and 4.
  5. 5.Find the HCF of 16 and 6.
  6. 6.Find the LCM of 8, 2 and 14.
  7. 7.Find the LCM of 4, 3 and 14.
  8. 8.Find the LCM of 6 and 4.
  9. 9.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 28. What is the other number?
  10. 10.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 27. What is the other number?
  11. 11.Find the LCM of 32 and 12.
  12. 12.Find the HCF of 24 and 36.
  13. 13.Find the LCM of 3, 15 and 14.
  14. 14.Find the LCM of 12, 5 and 8.
  15. 15.Find the LCM of 5 and 4.
  16. 16.Find the HCF of 33 and 44.
  17. 17.Find the LCM of 20 and 32.
  18. 18.Find the HCF of 39 and 52.
  19. 19.Find the LCM of 3, 14 and 4.
  20. 20.The HCF of two numbers is 8 and their LCM is 280. One of the numbers is 40. What is the other number?
  21. 21.Find the LCM of 16 and 6.
  22. 22.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 15. What is the other number?
  23. 23.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 9. What is the other number?
  24. 24.Find the LCM of 10, 7 and 4.
  25. 25.Find the HCF of 24 and 84.
  26. 26.Find the LCM of 9, 15 and 5.
  27. 27.Find the LCM of 48 and 54.
  28. 28.Find the HCF of 18 and 14.
  29. 29.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 63. What is the other number?
  30. 30.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 36. What is the other number?
  31. 31.Find the HCF of 6 and 15.
  32. 32.Find the HCF of 12 and 32.
  33. 33.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 16. What is the other number?
  34. 34.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 12. What is the other number?
  35. 35.Find the HCF of 4 and 10.
  36. 36.Find the HCF of 20 and 35.
  37. 37.Find the LCM of 6 and 27.
  38. 38.Find the HCF of 36 and 84.
  39. 39.Find the LCM of 2, 3 and 13.
  40. 40.Find the HCF of 12 and 9.

Answer key

  1. 6
  2. 5
  3. 280
  4. 84
  5. 2
  6. 56
  7. 84
  8. 12
  9. 21
  10. 18
  11. 96
  12. 12
  13. 210
  14. 120
  15. 20
  16. 11
  17. 160
  18. 13
  19. 84
  20. 56
  21. 48
  22. 10
  23. 21
  24. 140
  25. 12
  26. 45
  27. 432
  28. 2
  29. 36
  30. 20
  31. 3
  32. 4
  33. 18
  34. 21
  35. 2
  36. 5
  37. 54
  38. 12
  39. 78
  40. 3

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