← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 826 · 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 18 and 63.
  2. 2.Find the LCM of 4, 5 and 11.
  3. 3.Find the HCF of 20 and 30.
  4. 4.The HCF of two numbers is 5 and their LCM is 100. One of the numbers is 25. What is the other number?
  5. 5.Find the HCF of 12 and 42.
  6. 6.Find the HCF of 75 and 135.
  7. 7.Find the HCF of 21 and 12.
  8. 8.Find the HCF of 99 and 55.
  9. 9.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 15. What is the other number?
  10. 10.Find the LCM of 10 and 18.
  11. 11.Find the HCF of 54 and 48.
  12. 12.Find the LCM of 5, 15 and 10.
  13. 13.Find the HCF of 24 and 9.
  14. 14.Find the LCM of 8 and 28.
  15. 15.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 24. What is the other number?
  16. 16.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 25. What is the other number?
  17. 17.Find the HCF of 48 and 40.
  18. 18.Find the LCM of 8, 6 and 12.
  19. 19.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 35. What is the other number?
  20. 20.Find the HCF of 28 and 8.
  21. 21.Find the HCF of 99 and 88.
  22. 22.Find the LCM of 8, 12 and 3.
  23. 23.Find the LCM of 9 and 2.
  24. 24.Find the LCM of 4, 12 and 5.
  25. 25.Find the LCM of 3 and 4.
  26. 26.Find the LCM of 24 and 30.
  27. 27.Find the LCM of 30 and 54.
  28. 28.The HCF of two numbers is 2 and their LCM is 40. One of the numbers is 8. What is the other number?
  29. 29.Find the LCM of 9 and 21.
  30. 30.Find the HCF of 10 and 6.
  31. 31.Find the LCM of 8 and 9.
  32. 32.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 40. What is the other number?
  33. 33.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 36. What is the other number?
  34. 34.Find the LCM of 12, 4 and 13.
  35. 35.Find the LCM of 4 and 5.
  36. 36.Find the HCF of 28 and 21.
  37. 37.Find the HCF of 49 and 28.
  38. 38.Find the LCM of 4, 2 and 14.
  39. 39.Find the LCM of 16 and 28.
  40. 40.Find the HCF of 14 and 63.

Answer key

  1. 9
  2. 220
  3. 10
  4. 20
  5. 6
  6. 15
  7. 3
  8. 11
  9. 27
  10. 90
  11. 6
  12. 30
  13. 3
  14. 56
  15. 27
  16. 10
  17. 8
  18. 24
  19. 56
  20. 4
  21. 11
  22. 24
  23. 18
  24. 60
  25. 12
  26. 120
  27. 270
  28. 10
  29. 63
  30. 2
  31. 72
  32. 32
  33. 45
  34. 156
  35. 20
  36. 7
  37. 7
  38. 28
  39. 112
  40. 7

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