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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 47 · 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 63 and 27.
  2. 2.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 21. What is the other number?
  3. 3.Find the HCF of 35 and 63.
  4. 4.Find the LCM of 8, 12 and 9.
  5. 5.Find the LCM of 12 and 16.
  6. 6.The HCF of two numbers is 2 and their LCM is 40. One of the numbers is 8. What is the other number?
  7. 7.Find the HCF of 55 and 99.
  8. 8.Find the LCM of 20 and 8.
  9. 9.Find the HCF of 24 and 32.
  10. 10.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 18. What is the other number?
  11. 11.Find the LCM of 4, 15 and 6.
  12. 12.Find the HCF of 108 and 24.
  13. 13.Find the HCF of 8 and 36.
  14. 14.Find the LCM of 4, 14 and 7.
  15. 15.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 14. What is the other number?
  16. 16.Find the LCM of 14, 4 and 6.
  17. 17.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 35. What is the other number?
  18. 18.Find the LCM of 7, 6 and 2.
  19. 19.The HCF of two numbers is 8 and their LCM is 280. One of the numbers is 40. What is the other number?
  20. 20.Find the LCM of 7 and 5.
  21. 21.Find the HCF of 24 and 42.
  22. 22.Find the HCF of 108 and 60.
  23. 23.Find the LCM of 16 and 28.
  24. 24.Find the LCM of 6, 3 and 2.
  25. 25.Find the LCM of 5, 13 and 15.
  26. 26.Find the HCF of 35 and 45.
  27. 27.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 10. What is the other number?
  28. 28.Find the HCF of 24 and 56.
  29. 29.The HCF of two numbers is 9 and their LCM is 135. One of the numbers is 27. What is the other number?
  30. 30.Find the LCM of 8, 15 and 3.
  31. 31.Find the LCM of 5, 4 and 6.
  32. 32.Find the LCM of 11, 7 and 14.
  33. 33.Find the HCF of 54 and 42.
  34. 34.Find the HCF of 26 and 117.
  35. 35.Find the LCM of 4, 15 and 3.
  36. 36.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 49. What is the other number?
  37. 37.Find the HCF of 40 and 24.
  38. 38.Find the HCF of 20 and 32.
  39. 39.Find the LCM of 25 and 40.
  40. 40.Find the LCM of 6, 4 and 3.

Answer key

  1. 9
  2. 6
  3. 7
  4. 72
  5. 48
  6. 10
  7. 11
  8. 40
  9. 8
  10. 48
  11. 60
  12. 12
  13. 4
  14. 28
  15. 21
  16. 84
  17. 40
  18. 42
  19. 56
  20. 35
  21. 6
  22. 12
  23. 112
  24. 6
  25. 195
  26. 5
  27. 15
  28. 8
  29. 45
  30. 120
  31. 60
  32. 154
  33. 6
  34. 13
  35. 60
  36. 63
  37. 8
  38. 4
  39. 200
  40. 12

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