← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 385 · 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 30 and 18.
  2. 2.Find the LCM of 6, 14 and 7.
  3. 3.Find the HCF of 16 and 40.
  4. 4.Find the HCF of 72 and 16.
  5. 5.Find the HCF of 6 and 27.
  6. 6.The HCF of two numbers is 4 and their LCM is 120. One of the numbers is 24. What is the other number?
  7. 7.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 6. What is the other number?
  8. 8.Find the LCM of 8 and 9.
  9. 9.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 12. What is the other number?
  10. 10.Find the HCF of 50 and 30.
  11. 11.Find the LCM of 8, 4 and 11.
  12. 12.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 14. What is the other number?
  13. 13.Find the LCM of 4, 9 and 2.
  14. 14.Find the HCF of 84 and 70.
  15. 15.Find the HCF of 40 and 48.
  16. 16.Find the HCF of 24 and 20.
  17. 17.Find the LCM of 5 and 8.
  18. 18.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 30. What is the other number?
  19. 19.Find the LCM of 12, 2 and 15.
  20. 20.Find the HCF of 30 and 70.
  21. 21.Find the LCM of 2, 14 and 15.
  22. 22.Find the HCF of 30 and 25.
  23. 23.Find the LCM of 4, 5 and 2.
  24. 24.The HCF of two numbers is 7 and their LCM is 147. One of the numbers is 49. What is the other number?
  25. 25.The HCF of two numbers is 6 and their LCM is 210. One of the numbers is 42. What is the other number?
  26. 26.The HCF of two numbers is 4 and their LCM is 144. One of the numbers is 36. What is the other number?
  27. 27.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 14. What is the other number?
  28. 28.Find the LCM of 6 and 7.
  29. 29.Find the LCM of 5, 3 and 15.
  30. 30.Find the LCM of 8 and 3.
  31. 31.Find the LCM of 10 and 8.
  32. 32.Find the LCM of 14, 15 and 10.
  33. 33.Find the HCF of 12 and 21.
  34. 34.Find the HCF of 49 and 14.
  35. 35.Find the LCM of 11, 5 and 4.
  36. 36.Find the HCF of 39 and 91.
  37. 37.Find the HCF of 35 and 10.
  38. 38.Find the LCM of 4 and 10.
  39. 39.Find the LCM of 8 and 28.
  40. 40.Find the LCM of 6, 8 and 12.

Answer key

  1. 6
  2. 42
  3. 8
  4. 8
  5. 3
  6. 20
  7. 21
  8. 72
  9. 15
  10. 10
  11. 88
  12. 8
  13. 36
  14. 14
  15. 8
  16. 4
  17. 40
  18. 25
  19. 60
  20. 10
  21. 210
  22. 5
  23. 20
  24. 21
  25. 30
  26. 16
  27. 35
  28. 42
  29. 15
  30. 24
  31. 40
  32. 210
  33. 3
  34. 7
  35. 220
  36. 13
  37. 5
  38. 20
  39. 56
  40. 24

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