← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 628 · 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 48 and 108.
  2. 2.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 20. What is the other number?
  3. 3.Find the HCF of 50 and 30.
  4. 4.Find the HCF of 36 and 28.
  5. 5.Find the HCF of 26 and 39.
  6. 6.Find the LCM of 12 and 27.
  7. 7.Find the HCF of 33 and 22.
  8. 8.Find the LCM of 48 and 30.
  9. 9.Find the HCF of 30 and 105.
  10. 10.Find the LCM of 9, 4 and 10.
  11. 11.Find the LCM of 4, 11 and 6.
  12. 12.Find the HCF of 24 and 30.
  13. 13.Find the HCF of 24 and 54.
  14. 14.Find the LCM of 2, 9 and 6.
  15. 15.The HCF of two numbers is 7 and their LCM is 252. One of the numbers is 63. What is the other number?
  16. 16.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 24. What is the other number?
  17. 17.Find the HCF of 77 and 55.
  18. 18.Find the LCM of 28 and 16.
  19. 19.Find the LCM of 24 and 15.
  20. 20.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 40. What is the other number?
  21. 21.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 24. What is the other number?
  22. 22.The HCF of two numbers is 2 and their LCM is 60. One of the numbers is 10. What is the other number?
  23. 23.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 12. What is the other number?
  24. 24.The HCF of two numbers is 6 and their LCM is 60. One of the numbers is 12. What is the other number?
  25. 25.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 15. What is the other number?
  26. 26.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 49. What is the other number?
  27. 27.Find the LCM of 4 and 14.
  28. 28.Find the LCM of 18 and 15.
  29. 29.Find the LCM of 7, 3 and 15.
  30. 30.Find the HCF of 135 and 120.
  31. 31.Find the LCM of 36 and 32.
  32. 32.Find the LCM of 54 and 48.
  33. 33.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 18. What is the other number?
  34. 34.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 27. What is the other number?
  35. 35.Find the HCF of 24 and 20.
  36. 36.Find the LCM of 7, 3 and 9.
  37. 37.Find the HCF of 12 and 32.
  38. 38.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 45. What is the other number?
  39. 39.Find the LCM of 3, 14 and 6.
  40. 40.Find the LCM of 10 and 14.

Answer key

  1. 12
  2. 36
  3. 10
  4. 4
  5. 13
  6. 108
  7. 11
  8. 240
  9. 15
  10. 180
  11. 132
  12. 6
  13. 6
  14. 18
  15. 28
  16. 16
  17. 11
  18. 112
  19. 120
  20. 32
  21. 27
  22. 12
  23. 18
  24. 30
  25. 10
  26. 63
  27. 28
  28. 90
  29. 105
  30. 15
  31. 288
  32. 432
  33. 27
  34. 63
  35. 4
  36. 63
  37. 4
  38. 18
  39. 42
  40. 70

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