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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 793 · 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 14 and 49.
  2. 2.Find the HCF of 18 and 14.
  3. 3.The HCF of two numbers is 6 and their LCM is 108. One of the numbers is 54. What is the other number?
  4. 4.Find the HCF of 24 and 20.
  5. 5.Find the LCM of 8 and 3.
  6. 6.Find the LCM of 12, 4 and 2.
  7. 7.Find the LCM of 5, 10 and 6.
  8. 8.Find the LCM of 3 and 8.
  9. 9.Find the HCF of 40 and 32.
  10. 10.Find the HCF of 48 and 60.
  11. 11.Find the HCF of 72 and 84.
  12. 12.Find the LCM of 6, 15 and 9.
  13. 13.Find the LCM of 12 and 10.
  14. 14.Find the LCM of 8, 12 and 2.
  15. 15.Find the LCM of 36 and 28.
  16. 16.Find the HCF of 24 and 40.
  17. 17.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 16. What is the other number?
  18. 18.Find the LCM of 8, 14 and 6.
  19. 19.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 72. What is the other number?
  20. 20.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 24. What is the other number?
  21. 21.Find the LCM of 6, 15 and 14.
  22. 22.Find the HCF of 84 and 60.
  23. 23.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 12. What is the other number?
  24. 24.Find the HCF of 42 and 28.
  25. 25.The HCF of two numbers is 2 and their LCM is 60. One of the numbers is 12. What is the other number?
  26. 26.Find the HCF of 21 and 27.
  27. 27.Find the LCM of 11, 15 and 3.
  28. 28.Find the HCF of 15 and 9.
  29. 29.The HCF of two numbers is 9 and their LCM is 270. One of the numbers is 54. What is the other number?
  30. 30.The HCF of two numbers is 4 and their LCM is 168. One of the numbers is 24. What is the other number?
  31. 31.Find the HCF of 70 and 56.
  32. 32.Find the HCF of 26 and 65.
  33. 33.Find the LCM of 8, 10 and 12.
  34. 34.Find the LCM of 9 and 4.
  35. 35.Find the LCM of 4 and 3.
  36. 36.The HCF of two numbers is 6 and their LCM is 180. One of the numbers is 30. What is the other number?
  37. 37.Find the LCM of 7, 12 and 8.
  38. 38.Find the LCM of 12, 6 and 3.
  39. 39.Find the LCM of 35 and 40.
  40. 40.Find the LCM of 15, 3 and 4.

Answer key

  1. 7
  2. 2
  3. 12
  4. 4
  5. 24
  6. 12
  7. 30
  8. 24
  9. 8
  10. 12
  11. 12
  12. 90
  13. 60
  14. 24
  15. 252
  16. 8
  17. 12
  18. 168
  19. 16
  20. 18
  21. 210
  22. 12
  23. 27
  24. 14
  25. 10
  26. 3
  27. 165
  28. 3
  29. 45
  30. 28
  31. 14
  32. 13
  33. 120
  34. 36
  35. 12
  36. 36
  37. 168
  38. 12
  39. 280
  40. 60

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