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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 176 · 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 80 and 90.
  2. 2.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 15. What is the other number?
  3. 3.Find the LCM of 18 and 24.
  4. 4.The HCF of two numbers is 6 and their LCM is 270. One of the numbers is 54. What is the other number?
  5. 5.Find the LCM of 12 and 14.
  6. 6.The HCF of two numbers is 7 and their LCM is 245. One of the numbers is 49. What is the other number?
  7. 7.Find the HCF of 10 and 15.
  8. 8.Find the LCM of 5, 3 and 13.
  9. 9.Find the HCF of 6 and 10.
  10. 10.Find the LCM of 20 and 12.
  11. 11.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 45. What is the other number?
  12. 12.Find the LCM of 8 and 5.
  13. 13.Find the LCM of 8, 12 and 9.
  14. 14.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 15. What is the other number?
  15. 15.Find the HCF of 56 and 40.
  16. 16.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 16. What is the other number?
  17. 17.The HCF of two numbers is 8 and their LCM is 504. One of the numbers is 72. What is the other number?
  18. 18.Find the LCM of 15 and 20.
  19. 19.Find the HCF of 60 and 45.
  20. 20.Find the LCM of 12, 4 and 15.
  21. 21.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 4. What is the other number?
  22. 22.Find the LCM of 2 and 3.
  23. 23.Find the LCM of 11, 4 and 8.
  24. 24.Find the LCM of 6 and 10.
  25. 25.Find the HCF of 42 and 56.
  26. 26.The HCF of two numbers is 3 and their LCM is 168. One of the numbers is 24. What is the other number?
  27. 27.The HCF of two numbers is 9 and their LCM is 270. One of the numbers is 54. What is the other number?
  28. 28.Find the LCM of 10, 4 and 9.
  29. 29.Find the LCM of 10, 4 and 8.
  30. 30.Find the HCF of 120 and 105.
  31. 31.Find the HCF of 10 and 12.
  32. 32.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 24. What is the other number?
  33. 33.Find the LCM of 2, 15 and 4.
  34. 34.Find the LCM of 4, 12 and 8.
  35. 35.Find the LCM of 18 and 4.
  36. 36.Find the LCM of 25 and 45.
  37. 37.Find the LCM of 45 and 10.
  38. 38.Find the HCF of 70 and 84.
  39. 39.The HCF of two numbers is 5 and their LCM is 175. One of the numbers is 35. What is the other number?
  40. 40.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 12. What is the other number?

Answer key

  1. 10
  2. 25
  3. 72
  4. 30
  5. 84
  6. 35
  7. 5
  8. 195
  9. 2
  10. 60
  11. 36
  12. 40
  13. 72
  14. 10
  15. 8
  16. 28
  17. 56
  18. 60
  19. 15
  20. 60
  21. 18
  22. 6
  23. 88
  24. 30
  25. 14
  26. 21
  27. 45
  28. 180
  29. 40
  30. 15
  31. 2
  32. 27
  33. 60
  34. 24
  35. 36
  36. 225
  37. 90
  38. 14
  39. 25
  40. 14

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