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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 26 · 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 27 and 63.
  2. 2.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 10. What is the other number?
  3. 3.Find the LCM of 12 and 8.
  4. 4.Find the LCM of 4 and 9.
  5. 5.Find the LCM of 6 and 7.
  6. 6.The HCF of two numbers is 4 and their LCM is 144. One of the numbers is 16. What is the other number?
  7. 7.Find the LCM of 8 and 5.
  8. 8.Find the LCM of 9, 3 and 11.
  9. 9.Find the HCF of 24 and 40.
  10. 10.Find the HCF of 48 and 40.
  11. 11.Find the LCM of 27 and 12.
  12. 12.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 8. What is the other number?
  13. 13.Find the HCF of 30 and 48.
  14. 14.Find the LCM of 11, 4 and 5.
  15. 15.Find the LCM of 5 and 8.
  16. 16.Find the LCM of 5, 12 and 10.
  17. 17.Find the HCF of 9 and 21.
  18. 18.Find the HCF of 40 and 64.
  19. 19.The HCF of two numbers is 9 and their LCM is 270. One of the numbers is 54. What is the other number?
  20. 20.The HCF of two numbers is 8 and their LCM is 504. One of the numbers is 56. What is the other number?
  21. 21.Find the LCM of 9, 8 and 3.
  22. 22.Find the HCF of 42 and 112.
  23. 23.Find the LCM of 35 and 40.
  24. 24.Find the LCM of 8, 12 and 15.
  25. 25.Find the HCF of 98 and 70.
  26. 26.Find the HCF of 15 and 27.
  27. 27.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 9. What is the other number?
  28. 28.Find the HCF of 21 and 9.
  29. 29.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 6. What is the other number?
  30. 30.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 18. What is the other number?
  31. 31.Find the LCM of 15, 10 and 7.
  32. 32.Find the LCM of 48 and 18.
  33. 33.Find the LCM of 2 and 5.
  34. 34.Find the HCF of 36 and 96.
  35. 35.Find the LCM of 2, 9 and 8.
  36. 36.Find the HCF of 6 and 15.
  37. 37.Find the HCF of 48 and 30.
  38. 38.Find the HCF of 120 and 45.
  39. 39.Find the LCM of 16 and 6.
  40. 40.Find the HCF of 18 and 10.

Answer key

  1. 9
  2. 6
  3. 24
  4. 36
  5. 42
  6. 36
  7. 40
  8. 99
  9. 8
  10. 8
  11. 108
  12. 20
  13. 6
  14. 220
  15. 40
  16. 60
  17. 3
  18. 8
  19. 45
  20. 72
  21. 72
  22. 14
  23. 280
  24. 120
  25. 14
  26. 3
  27. 21
  28. 3
  29. 14
  30. 63
  31. 210
  32. 144
  33. 10
  34. 12
  35. 72
  36. 3
  37. 6
  38. 15
  39. 48
  40. 2

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