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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 231 · 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 8 and their LCM is 360. One of the numbers is 72. What is the other number?
  2. 2.Find the LCM of 35 and 25.
  3. 3.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 8. What is the other number?
  4. 4.Find the LCM of 45 and 35.
  5. 5.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 27. What is the other number?
  6. 6.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 8. What is the other number?
  7. 7.Find the LCM of 13, 3 and 2.
  8. 8.Find the LCM of 3, 9 and 14.
  9. 9.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 18. What is the other number?
  10. 10.Find the LCM of 13, 4 and 12.
  11. 11.Find the HCF of 33 and 44.
  12. 12.Find the HCF of 56 and 21.
  13. 13.Find the HCF of 25 and 10.
  14. 14.Find the HCF of 63 and 49.
  15. 15.Find the LCM of 6, 2 and 15.
  16. 16.Find the HCF of 49 and 28.
  17. 17.Find the HCF of 35 and 40.
  18. 18.Find the LCM of 14, 6 and 3.
  19. 19.Find the LCM of 9, 2 and 3.
  20. 20.Find the LCM of 9 and 4.
  21. 21.Find the HCF of 50 and 40.
  22. 22.Find the HCF of 81 and 36.
  23. 23.Find the HCF of 28 and 63.
  24. 24.Find the HCF of 81 and 18.
  25. 25.Find the LCM of 10 and 45.
  26. 26.Find the LCM of 42 and 30.
  27. 27.Find the LCM of 2, 9 and 8.
  28. 28.Find the LCM of 6 and 10.
  29. 29.Find the LCM of 10, 13 and 2.
  30. 30.Find the LCM of 18 and 42.
  31. 31.The HCF of two numbers is 9 and their LCM is 360. One of the numbers is 45. What is the other number?
  32. 32.Find the LCM of 2, 13 and 9.
  33. 33.Find the LCM of 30 and 25.
  34. 34.The HCF of two numbers is 3 and their LCM is 90. One of the numbers is 15. What is the other number?
  35. 35.Find the HCF of 24 and 84.
  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 LCM of 20 and 24.
  38. 38.Find the LCM of 5, 9 and 6.
  39. 39.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 45. What is the other number?
  40. 40.Find the HCF of 45 and 72.

Answer key

  1. 40
  2. 175
  3. 6
  4. 315
  5. 15
  6. 12
  7. 78
  8. 126
  9. 63
  10. 156
  11. 11
  12. 7
  13. 5
  14. 7
  15. 30
  16. 7
  17. 5
  18. 42
  19. 18
  20. 36
  21. 10
  22. 9
  23. 7
  24. 9
  25. 90
  26. 210
  27. 72
  28. 30
  29. 130
  30. 126
  31. 72
  32. 234
  33. 150
  34. 18
  35. 12
  36. 9
  37. 120
  38. 90
  39. 10
  40. 9

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