← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 212 · 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 21 and 12.
  2. 2.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 18. What is the other number?
  3. 3.The HCF of two numbers is 8 and their LCM is 448. One of the numbers is 64. What is the other number?
  4. 4.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 36. What is the other number?
  5. 5.The HCF of two numbers is 9 and their LCM is 360. One of the numbers is 45. What is the other number?
  6. 6.Find the LCM of 8, 4 and 15.
  7. 7.Find the LCM of 2 and 7.
  8. 8.Find the LCM of 35 and 15.
  9. 9.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 56. What is the other number?
  10. 10.Find the LCM of 18 and 42.
  11. 11.Find the HCF of 75 and 120.
  12. 12.Find the HCF of 91 and 52.
  13. 13.Find the LCM of 4, 10 and 12.
  14. 14.Find the HCF of 36 and 28.
  15. 15.Find the LCM of 30 and 36.
  16. 16.Find the HCF of 6 and 4.
  17. 17.The HCF of two numbers is 4 and their LCM is 80. One of the numbers is 16. What is the other number?
  18. 18.Find the HCF of 10 and 4.
  19. 19.Find the LCM of 9 and 5.
  20. 20.Find the LCM of 28 and 8.
  21. 21.Find the LCM of 3, 4 and 9.
  22. 22.Find the LCM of 35 and 40.
  23. 23.Find the HCF of 27 and 15.
  24. 24.Find the LCM of 2 and 3.
  25. 25.Find the HCF of 12 and 54.
  26. 26.Find the LCM of 4 and 9.
  27. 27.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 40. What is the other number?
  28. 28.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 14. What is the other number?
  29. 29.Find the LCM of 12, 10 and 3.
  30. 30.Find the HCF of 80 and 90.
  31. 31.Find the LCM of 40 and 25.
  32. 32.Find the HCF of 49 and 63.
  33. 33.Find the LCM of 9, 6 and 13.
  34. 34.Find the HCF of 25 and 10.
  35. 35.Find the HCF of 42 and 112.
  36. 36.Find the LCM of 20 and 36.
  37. 37.Find the LCM of 10, 2 and 3.
  38. 38.Find the HCF of 117 and 104.
  39. 39.Find the HCF of 42 and 28.
  40. 40.Find the LCM of 24 and 15.

Answer key

  1. 3
  2. 4
  3. 56
  4. 20
  5. 72
  6. 120
  7. 14
  8. 105
  9. 35
  10. 126
  11. 15
  12. 13
  13. 60
  14. 4
  15. 180
  16. 2
  17. 20
  18. 2
  19. 45
  20. 56
  21. 36
  22. 280
  23. 3
  24. 6
  25. 6
  26. 36
  27. 15
  28. 21
  29. 60
  30. 10
  31. 200
  32. 7
  33. 234
  34. 5
  35. 14
  36. 180
  37. 30
  38. 13
  39. 14
  40. 120

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