← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 615 · 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 LCM of 4 and 3.
  2. 2.Find the HCF of 30 and 25.
  3. 3.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 63. What is the other number?
  4. 4.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 12. What is the other number?
  5. 5.Find the LCM of 2, 14 and 6.
  6. 6.Find the HCF of 64 and 56.
  7. 7.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 8. What is the other number?
  8. 8.Find the HCF of 45 and 25.
  9. 9.Find the LCM of 13, 2 and 3.
  10. 10.Find the LCM of 3, 6 and 14.
  11. 11.Find the LCM of 3, 13 and 5.
  12. 12.Find the HCF of 22 and 55.
  13. 13.Find the HCF of 4 and 14.
  14. 14.Find the HCF of 72 and 60.
  15. 15.Find the LCM of 2, 12 and 13.
  16. 16.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 6. What is the other number?
  17. 17.Find the LCM of 9, 2 and 15.
  18. 18.Find the HCF of 6 and 15.
  19. 19.Find the HCF of 42 and 28.
  20. 20.The HCF of two numbers is 2 and their LCM is 40. One of the numbers is 10. What is the other number?
  21. 21.The HCF of two numbers is 8 and their LCM is 280. One of the numbers is 56. What is the other number?
  22. 22.Find the HCF of 21 and 9.
  23. 23.Find the HCF of 24 and 42.
  24. 24.Find the LCM of 10 and 8.
  25. 25.Find the HCF of 77 and 22.
  26. 26.Find the HCF of 16 and 36.
  27. 27.Find the HCF of 56 and 42.
  28. 28.Find the LCM of 12 and 18.
  29. 29.Find the HCF of 84 and 60.
  30. 30.Find the LCM of 2, 10 and 3.
  31. 31.Find the LCM of 4, 12 and 10.
  32. 32.Find the LCM of 5, 3 and 10.
  33. 33.Find the LCM of 10, 9 and 12.
  34. 34.Find the LCM of 8, 4 and 10.
  35. 35.Find the HCF of 54 and 63.
  36. 36.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 14. What is the other number?
  37. 37.Find the HCF of 55 and 44.
  38. 38.Find the LCM of 2, 13 and 7.
  39. 39.Find the HCF of 15 and 6.
  40. 40.Find the HCF of 20 and 8.

Answer key

  1. 12
  2. 5
  3. 27
  4. 28
  5. 42
  6. 8
  7. 6
  8. 5
  9. 78
  10. 42
  11. 195
  12. 11
  13. 2
  14. 12
  15. 156
  16. 15
  17. 90
  18. 3
  19. 14
  20. 8
  21. 40
  22. 3
  23. 6
  24. 40
  25. 11
  26. 4
  27. 14
  28. 36
  29. 12
  30. 30
  31. 60
  32. 30
  33. 180
  34. 40
  35. 9
  36. 35
  37. 11
  38. 182
  39. 3
  40. 4

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