← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 544 · 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 280. One of the numbers is 40. What is the other number?
  2. 2.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 27. What is the other number?
  3. 3.Find the LCM of 6, 4 and 11.
  4. 4.Find the HCF of 21 and 6.
  5. 5.Find the LCM of 10, 6 and 12.
  6. 6.Find the HCF of 20 and 30.
  7. 7.Find the LCM of 6, 10 and 8.
  8. 8.Find the LCM of 12, 14 and 3.
  9. 9.Find the LCM of 8 and 20.
  10. 10.Find the LCM of 36 and 30.
  11. 11.Find the LCM of 7 and 4.
  12. 12.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 35. What is the other number?
  13. 13.Find the HCF of 77 and 66.
  14. 14.Find the LCM of 2, 5 and 13.
  15. 15.Find the HCF of 75 and 45.
  16. 16.The HCF of two numbers is 3 and their LCM is 168. One of the numbers is 24. What is the other number?
  17. 17.Find the HCF of 21 and 56.
  18. 18.Find the LCM of 8 and 18.
  19. 19.Find the LCM of 5, 12 and 6.
  20. 20.Find the LCM of 11, 2 and 5.
  21. 21.Find the HCF of 80 and 90.
  22. 22.Find the HCF of 60 and 70.
  23. 23.Find the HCF of 16 and 6.
  24. 24.Find the HCF of 24 and 36.
  25. 25.Find the HCF of 33 and 55.
  26. 26.Find the HCF of 24 and 64.
  27. 27.Find the HCF of 81 and 18.
  28. 28.Find the LCM of 27 and 24.
  29. 29.Find the LCM of 8 and 9.
  30. 30.Find the LCM of 7, 11 and 14.
  31. 31.Find the LCM of 12 and 8.
  32. 32.Find the LCM of 15 and 40.
  33. 33.Find the HCF of 28 and 16.
  34. 34.Find the LCM of 11, 7 and 2.
  35. 35.Find the LCM of 16 and 20.
  36. 36.Find the LCM of 10, 4 and 7.
  37. 37.Find the HCF of 40 and 72.
  38. 38.Find the HCF of 60 and 24.
  39. 39.Find the LCM of 20 and 25.
  40. 40.Find the HCF of 15 and 10.

Answer key

  1. 35
  2. 6
  3. 132
  4. 3
  5. 60
  6. 10
  7. 120
  8. 84
  9. 40
  10. 180
  11. 28
  12. 40
  13. 11
  14. 130
  15. 15
  16. 21
  17. 7
  18. 72
  19. 60
  20. 110
  21. 10
  22. 10
  23. 2
  24. 12
  25. 11
  26. 8
  27. 9
  28. 216
  29. 72
  30. 154
  31. 24
  32. 120
  33. 4
  34. 154
  35. 80
  36. 140
  37. 8
  38. 12
  39. 100
  40. 5

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