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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 504 · 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 25 and 45.
  2. 2.Find the HCF of 36 and 63.
  3. 3.Find the HCF of 70 and 98.
  4. 4.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 18. What is the other number?
  5. 5.Find the LCM of 3, 10 and 5.
  6. 6.Find the HCF of 77 and 55.
  7. 7.Find the LCM of 5, 12 and 6.
  8. 8.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 48. What is the other number?
  9. 9.The HCF of two numbers is 9 and their LCM is 135. One of the numbers is 27. What is the other number?
  10. 10.Find the LCM of 10, 15 and 12.
  11. 11.Find the LCM of 7, 2 and 15.
  12. 12.Find the LCM of 27 and 15.
  13. 13.Find the HCF of 35 and 56.
  14. 14.Find the HCF of 32 and 12.
  15. 15.Find the LCM of 9 and 8.
  16. 16.Find the LCM of 45 and 25.
  17. 17.Find the LCM of 5, 14 and 10.
  18. 18.Find the LCM of 12, 3 and 7.
  19. 19.Find the LCM of 8 and 18.
  20. 20.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 16. What is the other number?
  21. 21.Find the LCM of 2 and 7.
  22. 22.Find the HCF of 55 and 88.
  23. 23.Find the HCF of 105 and 30.
  24. 24.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 8. What is the other number?
  25. 25.Find the LCM of 12, 6 and 4.
  26. 26.Find the LCM of 3, 5 and 7.
  27. 27.Find the LCM of 12, 4 and 2.
  28. 28.Find the HCF of 20 and 25.
  29. 29.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 56. What is the other number?
  30. 30.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 27. What is the other number?
  31. 31.Find the HCF of 105 and 75.
  32. 32.Find the HCF of 63 and 72.
  33. 33.Find the LCM of 6, 9 and 5.
  34. 34.Find the HCF of 16 and 12.
  35. 35.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 32. What is the other number?
  36. 36.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 8. What is the other number?
  37. 37.Find the LCM of 14 and 12.
  38. 38.Find the HCF of 18 and 10.
  39. 39.Find the LCM of 36 and 8.
  40. 40.Find the HCF of 84 and 36.

Answer key

  1. 5
  2. 9
  3. 14
  4. 48
  5. 30
  6. 11
  7. 60
  8. 18
  9. 45
  10. 60
  11. 210
  12. 135
  13. 7
  14. 4
  15. 72
  16. 225
  17. 70
  18. 84
  19. 72
  20. 10
  21. 14
  22. 11
  23. 15
  24. 18
  25. 12
  26. 105
  27. 12
  28. 5
  29. 48
  30. 24
  31. 15
  32. 9
  33. 90
  34. 4
  35. 36
  36. 6
  37. 84
  38. 2
  39. 72
  40. 12

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