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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 186 · 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 72 and 84.
  2. 2.Find the HCF of 30 and 18.
  3. 3.Find the HCF of 24 and 15.
  4. 4.Find the LCM of 11, 9 and 3.
  5. 5.Find the LCM of 12 and 21.
  6. 6.Find the LCM of 18 and 8.
  7. 7.Find the LCM of 15 and 9.
  8. 8.Find the HCF of 49 and 21.
  9. 9.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 63. What is the other number?
  10. 10.Find the LCM of 5, 7 and 4.
  11. 11.The HCF of two numbers is 9 and their LCM is 360. One of the numbers is 72. What is the other number?
  12. 12.Find the LCM of 2 and 3.
  13. 13.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 9. What is the other number?
  14. 14.Find the HCF of 30 and 105.
  15. 15.The HCF of two numbers is 4 and their LCM is 160. One of the numbers is 32. What is the other number?
  16. 16.Find the LCM of 4, 5 and 3.
  17. 17.Find the HCF of 6 and 21.
  18. 18.Find the LCM of 2, 15 and 10.
  19. 19.Find the LCM of 24 and 42.
  20. 20.Find the HCF of 30 and 42.
  21. 21.Find the LCM of 25 and 40.
  22. 22.Find the LCM of 2, 3 and 5.
  23. 23.Find the LCM of 9 and 24.
  24. 24.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 8. What is the other number?
  25. 25.Find the HCF of 18 and 21.
  26. 26.Find the LCM of 30 and 35.
  27. 27.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 63. What is the other number?
  28. 28.Find the LCM of 10, 13 and 5.
  29. 29.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 9. What is the other number?
  30. 30.Find the LCM of 45 and 40.
  31. 31.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 15. What is the other number?
  32. 32.Find the HCF of 16 and 56.
  33. 33.Find the LCM of 12 and 42.
  34. 34.Find the HCF of 126 and 56.
  35. 35.Find the LCM of 40 and 15.
  36. 36.Find the HCF of 72 and 64.
  37. 37.Find the LCM of 9, 2 and 4.
  38. 38.Find the LCM of 7 and 3.
  39. 39.Find the LCM of 14, 4 and 8.
  40. 40.Find the LCM of 10, 9 and 2.

Answer key

  1. 12
  2. 6
  3. 3
  4. 99
  5. 84
  6. 72
  7. 45
  8. 7
  9. 27
  10. 140
  11. 45
  12. 6
  13. 21
  14. 15
  15. 20
  16. 60
  17. 3
  18. 30
  19. 168
  20. 6
  21. 200
  22. 30
  23. 72
  24. 20
  25. 3
  26. 210
  27. 36
  28. 130
  29. 24
  30. 360
  31. 40
  32. 8
  33. 84
  34. 14
  35. 120
  36. 8
  37. 36
  38. 21
  39. 56
  40. 90

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