← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 321 · 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 12 and 28.
  2. 2.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 12. What is the other number?
  3. 3.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 40. What is the other number?
  4. 4.Find the LCM of 15 and 9.
  5. 5.Find the LCM of 14 and 8.
  6. 6.Find the LCM of 6, 12 and 14.
  7. 7.Find the LCM of 6 and 10.
  8. 8.Find the LCM of 10 and 14.
  9. 9.Find the HCF of 75 and 30.
  10. 10.The HCF of two numbers is 2 and their LCM is 60. One of the numbers is 10. What is the other number?
  11. 11.Find the LCM of 14, 12 and 4.
  12. 12.Find the HCF of 80 and 90.
  13. 13.The HCF of two numbers is 7 and their LCM is 245. One of the numbers is 35. What is the other number?
  14. 14.Find the HCF of 20 and 90.
  15. 15.Find the LCM of 14 and 10.
  16. 16.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 28. What is the other number?
  17. 17.Find the LCM of 6 and 9.
  18. 18.Find the HCF of 96 and 84.
  19. 19.Find the LCM of 9 and 6.
  20. 20.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 15. What is the other number?
  21. 21.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 10. What is the other number?
  22. 22.Find the LCM of 3, 14 and 4.
  23. 23.The HCF of two numbers is 4 and their LCM is 168. One of the numbers is 28. What is the other number?
  24. 24.Find the LCM of 45 and 35.
  25. 25.Find the LCM of 30 and 24.
  26. 26.The HCF of two numbers is 3 and their LCM is 189. One of the numbers is 27. What is the other number?
  27. 27.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 10. What is the other number?
  28. 28.Find the HCF of 105 and 75.
  29. 29.Find the HCF of 40 and 48.
  30. 30.The HCF of two numbers is 6 and their LCM is 60. One of the numbers is 12. What is the other number?
  31. 31.Find the HCF of 6 and 9.
  32. 32.Find the LCM of 15, 2 and 4.
  33. 33.Find the LCM of 32 and 12.
  34. 34.Find the LCM of 20 and 25.
  35. 35.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 14. What is the other number?
  36. 36.Find the HCF of 36 and 30.
  37. 37.Find the HCF of 70 and 112.
  38. 38.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 32. What is the other number?
  39. 39.Find the HCF of 25 and 15.
  40. 40.Find the LCM of 8, 6 and 7.

Answer key

  1. 4
  2. 21
  3. 15
  4. 45
  5. 56
  6. 84
  7. 30
  8. 70
  9. 15
  10. 12
  11. 84
  12. 10
  13. 49
  14. 10
  15. 70
  16. 8
  17. 18
  18. 12
  19. 18
  20. 25
  21. 14
  22. 84
  23. 24
  24. 315
  25. 120
  26. 21
  27. 4
  28. 15
  29. 8
  30. 30
  31. 3
  32. 60
  33. 96
  34. 100
  35. 21
  36. 6
  37. 14
  38. 12
  39. 5
  40. 168

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