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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 239 · 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.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 24. What is the other number?
  2. 2.Find the LCM of 10, 15 and 8.
  3. 3.Find the LCM of 7, 8 and 6.
  4. 4.The HCF of two numbers is 7 and their LCM is 168. One of the numbers is 56. What is the other number?
  5. 5.Find the HCF of 12 and 8.
  6. 6.Find the HCF of 45 and 25.
  7. 7.Find the HCF of 49 and 14.
  8. 8.Find the LCM of 3, 15 and 5.
  9. 9.Find the HCF of 12 and 10.
  10. 10.Find the LCM of 24 and 15.
  11. 11.Find the LCM of 10, 9 and 4.
  12. 12.Find the LCM of 8, 15 and 4.
  13. 13.Find the LCM of 10, 12 and 15.
  14. 14.Find the HCF of 40 and 32.
  15. 15.The HCF of two numbers is 9 and their LCM is 360. One of the numbers is 45. What is the other number?
  16. 16.Find the HCF of 108 and 48.
  17. 17.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 18. What is the other number?
  18. 18.Find the LCM of 9, 6 and 2.
  19. 19.Find the HCF of 10 and 15.
  20. 20.Find the LCM of 27 and 12.
  21. 21.Find the HCF of 33 and 88.
  22. 22.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 18. What is the other number?
  23. 23.Find the LCM of 10, 3 and 2.
  24. 24.Find the LCM of 13, 3 and 2.
  25. 25.The HCF of two numbers is 7 and their LCM is 105. One of the numbers is 21. What is the other number?
  26. 26.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 36. What is the other number?
  27. 27.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 42. What is the other number?
  28. 28.Find the HCF of 105 and 45.
  29. 29.Find the HCF of 16 and 18.
  30. 30.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 12. What is the other number?
  31. 31.The HCF of two numbers is 9 and their LCM is 378. One of the numbers is 54. What is the other number?
  32. 32.Find the LCM of 12 and 14.
  33. 33.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 18. What is the other number?
  34. 34.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 12. What is the other number?
  35. 35.Find the HCF of 27 and 72.
  36. 36.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 15. What is the other number?
  37. 37.Find the HCF of 24 and 60.
  38. 38.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 36. What is the other number?
  39. 39.Find the HCF of 36 and 48.
  40. 40.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 16. What is the other number?

Answer key

  1. 18
  2. 120
  3. 168
  4. 21
  5. 4
  6. 5
  7. 7
  8. 15
  9. 2
  10. 120
  11. 180
  12. 120
  13. 60
  14. 8
  15. 72
  16. 12
  17. 10
  18. 18
  19. 5
  20. 108
  21. 11
  22. 27
  23. 30
  24. 78
  25. 35
  26. 27
  27. 12
  28. 15
  29. 2
  30. 20
  31. 63
  32. 84
  33. 21
  34. 9
  35. 9
  36. 9
  37. 12
  38. 8
  39. 12
  40. 72

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