← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 336 · 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 9 and 21.
  2. 2.Find the HCF of 24 and 84.
  3. 3.Find the LCM of 2, 13 and 8.
  4. 4.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 12. What is the other number?
  5. 5.Find the HCF of 14 and 18.
  6. 6.Find the HCF of 6 and 10.
  7. 7.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 25. What is the other number?
  8. 8.Find the HCF of 40 and 48.
  9. 9.Find the LCM of 9, 10 and 6.
  10. 10.Find the LCM of 6 and 14.
  11. 11.The HCF of two numbers is 5 and their LCM is 100. One of the numbers is 25. What is the other number?
  12. 12.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 42. What is the other number?
  13. 13.Find the HCF of 56 and 24.
  14. 14.Find the HCF of 28 and 24.
  15. 15.Find the LCM of 5 and 4.
  16. 16.Find the LCM of 15, 10 and 9.
  17. 17.Find the LCM of 15, 9 and 2.
  18. 18.The HCF of two numbers is 6 and their LCM is 216. One of the numbers is 54. What is the other number?
  19. 19.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 4. What is the other number?
  20. 20.Find the HCF of 9 and 15.
  21. 21.Find the HCF of 42 and 56.
  22. 22.Find the LCM of 8 and 14.
  23. 23.Find the HCF of 27 and 21.
  24. 24.Find the LCM of 4, 8 and 5.
  25. 25.Find the LCM of 8 and 18.
  26. 26.Find the LCM of 6 and 7.
  27. 27.Find the HCF of 12 and 8.
  28. 28.Find the LCM of 7 and 5.
  29. 29.Find the LCM of 13, 2 and 8.
  30. 30.Find the LCM of 14 and 18.
  31. 31.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 72. What is the other number?
  32. 32.Find the LCM of 2, 12 and 4.
  33. 33.Find the HCF of 18 and 30.
  34. 34.Find the LCM of 3 and 5.
  35. 35.Find the HCF of 33 and 77.
  36. 36.Find the LCM of 7, 2 and 12.
  37. 37.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 10. What is the other number?
  38. 38.Find the HCF of 65 and 78.
  39. 39.Find the LCM of 12 and 18.
  40. 40.Find the HCF of 30 and 48.

Answer key

  1. 3
  2. 12
  3. 104
  4. 15
  5. 2
  6. 2
  7. 30
  8. 8
  9. 90
  10. 42
  11. 20
  12. 24
  13. 8
  14. 4
  15. 20
  16. 90
  17. 90
  18. 24
  19. 6
  20. 3
  21. 14
  22. 56
  23. 3
  24. 40
  25. 72
  26. 42
  27. 4
  28. 35
  29. 104
  30. 126
  31. 63
  32. 12
  33. 6
  34. 15
  35. 11
  36. 84
  37. 6
  38. 13
  39. 36
  40. 6

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude