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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 913 · 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 24 and 108.
  2. 2.Find the HCF of 63 and 49.
  3. 3.The HCF of two numbers is 6 and their LCM is 108. One of the numbers is 12. What is the other number?
  4. 4.Find the HCF of 105 and 75.
  5. 5.Find the LCM of 8 and 7.
  6. 6.Find the LCM of 15 and 25.
  7. 7.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 42. What is the other number?
  8. 8.Find the LCM of 16 and 28.
  9. 9.Find the LCM of 24 and 20.
  10. 10.Find the HCF of 39 and 52.
  11. 11.Find the HCF of 8 and 6.
  12. 12.Find the LCM of 21 and 12.
  13. 13.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 56. What is the other number?
  14. 14.Find the LCM of 4, 6 and 3.
  15. 15.Find the LCM of 40 and 35.
  16. 16.Find the LCM of 5, 2 and 14.
  17. 17.The HCF of two numbers is 9 and their LCM is 270. One of the numbers is 54. What is the other number?
  18. 18.Find the HCF of 49 and 56.
  19. 19.Find the HCF of 63 and 35.
  20. 20.Find the HCF of 60 and 48.
  21. 21.The HCF of two numbers is 3 and their LCM is 189. One of the numbers is 21. What is the other number?
  22. 22.Find the LCM of 5 and 6.
  23. 23.The HCF of two numbers is 8 and their LCM is 240. One of the numbers is 48. What is the other number?
  24. 24.Find the HCF of 126 and 28.
  25. 25.Find the LCM of 8, 4 and 5.
  26. 26.Find the LCM of 9, 5 and 6.
  27. 27.Find the LCM of 10 and 12.
  28. 28.Find the HCF of 15 and 6.
  29. 29.Find the LCM of 6, 4 and 9.
  30. 30.Find the HCF of 12 and 8.
  31. 31.Find the LCM of 14 and 12.
  32. 32.Find the HCF of 50 and 60.
  33. 33.Find the LCM of 11, 5 and 15.
  34. 34.Find the HCF of 105 and 45.
  35. 35.Find the LCM of 42 and 36.
  36. 36.Find the LCM of 3, 8 and 14.
  37. 37.The HCF of two numbers is 5 and their LCM is 200. One of the numbers is 25. What is the other number?
  38. 38.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 15. What is the other number?
  39. 39.Find the LCM of 54 and 42.
  40. 40.Find the LCM of 6 and 10.

Answer key

  1. 12
  2. 7
  3. 54
  4. 15
  5. 56
  6. 75
  7. 24
  8. 112
  9. 120
  10. 13
  11. 2
  12. 84
  13. 35
  14. 12
  15. 280
  16. 70
  17. 45
  18. 7
  19. 7
  20. 12
  21. 27
  22. 30
  23. 40
  24. 14
  25. 40
  26. 90
  27. 60
  28. 3
  29. 36
  30. 4
  31. 84
  32. 10
  33. 165
  34. 15
  35. 252
  36. 168
  37. 40
  38. 12
  39. 378
  40. 30

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