← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 152 · 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 56 and 64.
  2. 2.Find the LCM of 42 and 36.
  3. 3.Find the HCF of 22 and 77.
  4. 4.Find the LCM of 3, 5 and 14.
  5. 5.Find the LCM of 14, 4 and 3.
  6. 6.Find the LCM of 15 and 27.
  7. 7.Find the LCM of 14, 4 and 2.
  8. 8.Find the LCM of 3 and 8.
  9. 9.Find the LCM of 8 and 12.
  10. 10.The HCF of two numbers is 9 and their LCM is 378. One of the numbers is 54. What is the other number?
  11. 11.Find the LCM of 21 and 24.
  12. 12.Find the LCM of 14 and 4.
  13. 13.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 45. What is the other number?
  14. 14.Find the HCF of 30 and 35.
  15. 15.Find the HCF of 96 and 36.
  16. 16.Find the HCF of 65 and 104.
  17. 17.Find the LCM of 14, 2 and 5.
  18. 18.Find the LCM of 12, 4 and 2.
  19. 19.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 14. What is the other number?
  20. 20.Find the LCM of 48 and 42.
  21. 21.Find the LCM of 10 and 14.
  22. 22.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 36. What is the other number?
  23. 23.Find the LCM of 32 and 36.
  24. 24.Find the HCF of 26 and 39.
  25. 25.The HCF of two numbers is 6 and their LCM is 336. One of the numbers is 48. What is the other number?
  26. 26.Find the HCF of 6 and 27.
  27. 27.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 12. What is the other number?
  28. 28.Find the HCF of 25 and 30.
  29. 29.Find the LCM of 2, 13 and 4.
  30. 30.Find the LCM of 10, 4 and 9.
  31. 31.Find the HCF of 99 and 22.
  32. 32.Find the HCF of 36 and 84.
  33. 33.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 24. What is the other number?
  34. 34.The HCF of two numbers is 4 and their LCM is 252. One of the numbers is 28. What is the other number?
  35. 35.Find the HCF of 63 and 27.
  36. 36.Find the HCF of 24 and 30.
  37. 37.Find the HCF of 70 and 20.
  38. 38.Find the LCM of 6 and 4.
  39. 39.Find the HCF of 30 and 48.
  40. 40.Find the LCM of 5, 6 and 8.

Answer key

  1. 8
  2. 252
  3. 11
  4. 210
  5. 84
  6. 135
  7. 28
  8. 24
  9. 24
  10. 63
  11. 168
  12. 28
  13. 81
  14. 5
  15. 12
  16. 13
  17. 70
  18. 12
  19. 49
  20. 336
  21. 70
  22. 20
  23. 288
  24. 13
  25. 42
  26. 3
  27. 27
  28. 5
  29. 52
  30. 180
  31. 11
  32. 12
  33. 27
  34. 36
  35. 9
  36. 6
  37. 10
  38. 12
  39. 6
  40. 120

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