← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 726 · 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 5 and their LCM is 360. One of the numbers is 45. What is the other number?
  2. 2.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 14. What is the other number?
  3. 3.Find the LCM of 12 and 54.
  4. 4.Find the LCM of 3, 11 and 7.
  5. 5.Find the HCF of 21 and 28.
  6. 6.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 27. What is the other number?
  7. 7.Find the LCM of 6 and 14.
  8. 8.Find the LCM of 24 and 9.
  9. 9.Find the HCF of 60 and 108.
  10. 10.Find the HCF of 35 and 25.
  11. 11.Find the HCF of 12 and 14.
  12. 12.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 10. What is the other number?
  13. 13.Find the LCM of 21 and 24.
  14. 14.Find the LCM of 8 and 28.
  15. 15.Find the LCM of 2 and 9.
  16. 16.Find the HCF of 56 and 49.
  17. 17.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 8. What is the other number?
  18. 18.Find the LCM of 14 and 4.
  19. 19.Find the LCM of 2, 5 and 9.
  20. 20.Find the LCM of 5 and 3.
  21. 21.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 9. What is the other number?
  22. 22.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 28. What is the other number?
  23. 23.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 21. What is the other number?
  24. 24.Find the LCM of 9, 15 and 2.
  25. 25.Find the LCM of 6 and 10.
  26. 26.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 15. What is the other number?
  27. 27.Find the LCM of 6, 3 and 12.
  28. 28.Find the LCM of 6, 9 and 8.
  29. 29.Find the LCM of 12, 3 and 9.
  30. 30.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 14. What is the other number?
  31. 31.Find the HCF of 8 and 10.
  32. 32.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 56. What is the other number?
  33. 33.Find the LCM of 5, 10 and 9.
  34. 34.The HCF of two numbers is 7 and their LCM is 252. One of the numbers is 63. What is the other number?
  35. 35.Find the LCM of 14, 8 and 6.
  36. 36.Find the HCF of 32 and 72.
  37. 37.Find the HCF of 4 and 18.
  38. 38.Find the LCM of 10 and 6.
  39. 39.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 24. What is the other number?
  40. 40.Find the HCF of 45 and 27.

Answer key

  1. 40
  2. 63
  3. 108
  4. 231
  5. 7
  6. 6
  7. 42
  8. 72
  9. 12
  10. 5
  11. 2
  12. 15
  13. 168
  14. 56
  15. 18
  16. 7
  17. 20
  18. 28
  19. 90
  20. 15
  21. 15
  22. 16
  23. 12
  24. 90
  25. 30
  26. 6
  27. 12
  28. 72
  29. 36
  30. 21
  31. 2
  32. 35
  33. 90
  34. 28
  35. 168
  36. 8
  37. 2
  38. 30
  39. 42
  40. 9

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