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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 13 · 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 16.
  2. 2.Find the LCM of 24 and 20.
  3. 3.Find the LCM of 4, 9 and 2.
  4. 4.Find the LCM of 7 and 2.
  5. 5.Find the LCM of 25 and 30.
  6. 6.Find the LCM of 5, 2 and 10.
  7. 7.Find the LCM of 6 and 10.
  8. 8.Find the LCM of 4, 5 and 8.
  9. 9.Find the HCF of 60 and 84.
  10. 10.Find the LCM of 8 and 28.
  11. 11.Find the HCF of 84 and 108.
  12. 12.Find the LCM of 54 and 12.
  13. 13.Find the LCM of 4, 10 and 12.
  14. 14.Find the HCF of 60 and 24.
  15. 15.Find the HCF of 98 and 70.
  16. 16.The HCF of two numbers is 6 and their LCM is 252. One of the numbers is 42. What is the other number?
  17. 17.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 12. What is the other number?
  18. 18.Find the HCF of 28 and 20.
  19. 19.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 32. What is the other number?
  20. 20.The HCF of two numbers is 9 and their LCM is 270. One of the numbers is 45. What is the other number?
  21. 21.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 9. What is the other number?
  22. 22.Find the LCM of 15, 5 and 3.
  23. 23.Find the LCM of 7, 10 and 2.
  24. 24.The HCF of two numbers is 7 and their LCM is 168. One of the numbers is 21. What is the other number?
  25. 25.Find the LCM of 4, 8 and 13.
  26. 26.Find the LCM of 4, 5 and 9.
  27. 27.Find the LCM of 9 and 12.
  28. 28.Find the LCM of 10, 2 and 13.
  29. 29.Find the LCM of 15 and 12.
  30. 30.Find the LCM of 5, 9 and 2.
  31. 31.Find the HCF of 12 and 21.
  32. 32.Find the LCM of 2, 10 and 4.
  33. 33.Find the LCM of 28 and 20.
  34. 34.Find the HCF of 91 and 78.
  35. 35.Find the HCF of 81 and 18.
  36. 36.The HCF of two numbers is 8 and their LCM is 360. One of the numbers is 72. What is the other number?
  37. 37.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 8. What is the other number?
  38. 38.Find the HCF of 40 and 35.
  39. 39.Find the LCM of 18 and 30.
  40. 40.Find the HCF of 16 and 20.

Answer key

  1. 2
  2. 120
  3. 36
  4. 14
  5. 150
  6. 10
  7. 30
  8. 40
  9. 12
  10. 56
  11. 12
  12. 108
  13. 60
  14. 12
  15. 14
  16. 36
  17. 9
  18. 4
  19. 56
  20. 54
  21. 24
  22. 15
  23. 70
  24. 56
  25. 104
  26. 180
  27. 36
  28. 130
  29. 60
  30. 90
  31. 3
  32. 20
  33. 140
  34. 13
  35. 9
  36. 40
  37. 14
  38. 5
  39. 90
  40. 4

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