← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 339 · 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 20 and 25.
  2. 2.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 21. What is the other number?
  3. 3.The HCF of two numbers is 7 and their LCM is 294. One of the numbers is 49. What is the other number?
  4. 4.Find the LCM of 3, 7 and 9.
  5. 5.Find the HCF of 27 and 45.
  6. 6.Find the LCM of 28 and 12.
  7. 7.Find the LCM of 2, 6 and 8.
  8. 8.Find the HCF of 16 and 56.
  9. 9.Find the LCM of 28 and 20.
  10. 10.Find the LCM of 16 and 14.
  11. 11.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 12. What is the other number?
  12. 12.Find the HCF of 32 and 40.
  13. 13.Find the HCF of 32 and 36.
  14. 14.Find the HCF of 77 and 44.
  15. 15.Find the LCM of 5, 3 and 8.
  16. 16.Find the LCM of 25 and 15.
  17. 17.Find the LCM of 5 and 7.
  18. 18.Find the HCF of 77 and 22.
  19. 19.Find the LCM of 5, 4 and 2.
  20. 20.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 16. What is the other number?
  21. 21.Find the LCM of 3, 11 and 5.
  22. 22.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 40. What is the other number?
  23. 23.Find the LCM of 15, 12 and 10.
  24. 24.Find the LCM of 13, 3 and 6.
  25. 25.Find the LCM of 16 and 10.
  26. 26.Find the HCF of 10 and 14.
  27. 27.Find the LCM of 35 and 15.
  28. 28.Find the LCM of 8, 4 and 14.
  29. 29.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 27. What is the other number?
  30. 30.Find the LCM of 3 and 8.
  31. 31.Find the LCM of 15 and 25.
  32. 32.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 9. What is the other number?
  33. 33.Find the HCF of 90 and 105.
  34. 34.The HCF of two numbers is 4 and their LCM is 252. One of the numbers is 36. What is the other number?
  35. 35.Find the HCF of 4 and 14.
  36. 36.Find the HCF of 26 and 117.
  37. 37.Find the LCM of 2, 11 and 3.
  38. 38.Find the LCM of 20 and 45.
  39. 39.Find the HCF of 88 and 77.
  40. 40.Find the LCM of 10, 15 and 5.

Answer key

  1. 5
  2. 15
  3. 42
  4. 63
  5. 9
  6. 84
  7. 24
  8. 8
  9. 140
  10. 112
  11. 27
  12. 8
  13. 4
  14. 11
  15. 120
  16. 75
  17. 35
  18. 11
  19. 20
  20. 72
  21. 165
  22. 32
  23. 60
  24. 78
  25. 80
  26. 2
  27. 105
  28. 56
  29. 6
  30. 24
  31. 75
  32. 15
  33. 15
  34. 28
  35. 2
  36. 13
  37. 66
  38. 180
  39. 11
  40. 30

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