← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 828 · 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 35 and 28.
  2. 2.Find the HCF of 8 and 12.
  3. 3.Find the LCM of 2 and 5.
  4. 4.Find the HCF of 45 and 30.
  5. 5.Find the LCM of 15 and 40.
  6. 6.Find the LCM of 45 and 10.
  7. 7.Find the HCF of 72 and 81.
  8. 8.Find the LCM of 21 and 15.
  9. 9.Find the LCM of 10 and 8.
  10. 10.The HCF of two numbers is 6 and their LCM is 240. One of the numbers is 30. What is the other number?
  11. 11.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 4. What is the other number?
  12. 12.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 25. What is the other number?
  13. 13.Find the HCF of 135 and 30.
  14. 14.Find the LCM of 12 and 18.
  15. 15.Find the LCM of 24 and 30.
  16. 16.The HCF of two numbers is 6 and their LCM is 432. One of the numbers is 54. What is the other number?
  17. 17.Find the HCF of 10 and 16.
  18. 18.Find the HCF of 75 and 105.
  19. 19.Find the LCM of 15 and 6.
  20. 20.Find the LCM of 10 and 25.
  21. 21.Find the LCM of 15, 10 and 5.
  22. 22.Find the LCM of 14, 3 and 15.
  23. 23.Find the LCM of 7, 14 and 12.
  24. 24.Find the HCF of 30 and 45.
  25. 25.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 81. What is the other number?
  26. 26.Find the HCF of 75 and 60.
  27. 27.Find the LCM of 15 and 27.
  28. 28.The HCF of two numbers is 7 and their LCM is 504. One of the numbers is 56. What is the other number?
  29. 29.Find the LCM of 16 and 36.
  30. 30.Find the HCF of 32 and 28.
  31. 31.Find the HCF of 42 and 48.
  32. 32.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 36. What is the other number?
  33. 33.Find the HCF of 8 and 10.
  34. 34.Find the LCM of 11, 7 and 3.
  35. 35.Find the LCM of 12 and 20.
  36. 36.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 6. What is the other number?
  37. 37.Find the HCF of 36 and 48.
  38. 38.Find the LCM of 8 and 12.
  39. 39.Find the HCF of 77 and 44.
  40. 40.Find the HCF of 105 and 135.

Answer key

  1. 7
  2. 4
  3. 10
  4. 15
  5. 120
  6. 90
  7. 9
  8. 105
  9. 40
  10. 48
  11. 10
  12. 10
  13. 15
  14. 36
  15. 120
  16. 48
  17. 2
  18. 15
  19. 30
  20. 50
  21. 30
  22. 210
  23. 84
  24. 15
  25. 18
  26. 15
  27. 135
  28. 63
  29. 144
  30. 4
  31. 6
  32. 63
  33. 2
  34. 231
  35. 60
  36. 14
  37. 12
  38. 24
  39. 11
  40. 15

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