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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 425 · 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 22 and 33.
  2. 2.Find the LCM of 20 and 32.
  3. 3.Find the LCM of 9 and 8.
  4. 4.Find the LCM of 25 and 35.
  5. 5.Find the LCM of 10 and 16.
  6. 6.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 48. What is the other number?
  7. 7.Find the HCF of 75 and 30.
  8. 8.Find the LCM of 12, 7 and 2.
  9. 9.Find the LCM of 12, 6 and 5.
  10. 10.Find the LCM of 5 and 8.
  11. 11.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 36. What is the other number?
  12. 12.Find the HCF of 6 and 8.
  13. 13.Find the LCM of 8 and 9.
  14. 14.Find the HCF of 105 and 135.
  15. 15.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 4. What is the other number?
  16. 16.Find the HCF of 8 and 6.
  17. 17.Find the LCM of 7, 14 and 13.
  18. 18.Find the LCM of 21 and 15.
  19. 19.Find the LCM of 4 and 5.
  20. 20.Find the LCM of 10, 12 and 9.
  21. 21.Find the HCF of 70 and 28.
  22. 22.Find the LCM of 2, 6 and 7.
  23. 23.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 20. What is the other number?
  24. 24.Find the HCF of 30 and 48.
  25. 25.Find the LCM of 4, 6 and 8.
  26. 26.Find the LCM of 12, 6 and 11.
  27. 27.The HCF of two numbers is 5 and their LCM is 360. One of the numbers is 45. What is the other number?
  28. 28.Find the HCF of 60 and 75.
  29. 29.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 16. What is the other number?
  30. 30.Find the LCM of 7 and 5.
  31. 31.Find the LCM of 36 and 20.
  32. 32.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 10. What is the other number?
  33. 33.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 24. What is the other number?
  34. 34.Find the LCM of 3, 14 and 2.
  35. 35.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 14. What is the other number?
  36. 36.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 45. What is the other number?
  37. 37.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 35. What is the other number?
  38. 38.The HCF of two numbers is 5 and their LCM is 360. One of the numbers is 40. What is the other number?
  39. 39.Find the LCM of 7, 3 and 12.
  40. 40.The HCF of two numbers is 6 and their LCM is 378. One of the numbers is 42. What is the other number?

Answer key

  1. 11
  2. 160
  3. 72
  4. 175
  5. 80
  6. 18
  7. 15
  8. 84
  9. 60
  10. 40
  11. 45
  12. 2
  13. 72
  14. 15
  15. 6
  16. 2
  17. 182
  18. 105
  19. 20
  20. 180
  21. 14
  22. 42
  23. 8
  24. 6
  25. 24
  26. 132
  27. 40
  28. 15
  29. 72
  30. 35
  31. 180
  32. 18
  33. 18
  34. 42
  35. 35
  36. 36
  37. 28
  38. 45
  39. 84
  40. 54

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