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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 695 · 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.The HCF of two numbers is 5 and their LCM is 225. One of the numbers is 25. What is the other number?
  2. 2.The HCF of two numbers is 6 and their LCM is 210. One of the numbers is 42. What is the other number?
  3. 3.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 12. What is the other number?
  4. 4.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 8. What is the other number?
  5. 5.Find the LCM of 8, 4 and 5.
  6. 6.Find the LCM of 30 and 54.
  7. 7.The HCF of two numbers is 7 and their LCM is 147. One of the numbers is 49. What is the other number?
  8. 8.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 35. What is the other number?
  9. 9.Find the HCF of 49 and 14.
  10. 10.Find the HCF of 98 and 56.
  11. 11.Find the LCM of 6, 5 and 8.
  12. 12.Find the HCF of 9 and 12.
  13. 13.Find the HCF of 36 and 42.
  14. 14.Find the HCF of 63 and 18.
  15. 15.Find the LCM of 28 and 8.
  16. 16.Find the HCF of 27 and 6.
  17. 17.Find the HCF of 30 and 20.
  18. 18.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 28. What is the other number?
  19. 19.Find the HCF of 10 and 8.
  20. 20.Find the LCM of 10, 2 and 14.
  21. 21.Find the LCM of 24 and 42.
  22. 22.Find the LCM of 48 and 30.
  23. 23.Find the HCF of 80 and 90.
  24. 24.Find the LCM of 3, 5 and 6.
  25. 25.Find the LCM of 21 and 6.
  26. 26.Find the LCM of 9 and 4.
  27. 27.Find the LCM of 3, 2 and 10.
  28. 28.Find the HCF of 45 and 63.
  29. 29.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 18. What is the other number?
  30. 30.Find the HCF of 10 and 6.
  31. 31.Find the LCM of 3, 9 and 4.
  32. 32.Find the LCM of 15 and 27.
  33. 33.Find the LCM of 25 and 10.
  34. 34.Find the HCF of 36 and 30.
  35. 35.Find the LCM of 10, 5 and 7.
  36. 36.Find the LCM of 3, 9 and 15.
  37. 37.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 16. What is the other number?
  38. 38.Find the LCM of 4 and 3.
  39. 39.Find the HCF of 32 and 56.
  40. 40.Find the LCM of 12, 6 and 4.

Answer key

  1. 45
  2. 30
  3. 32
  4. 6
  5. 40
  6. 270
  7. 21
  8. 40
  9. 7
  10. 14
  11. 120
  12. 3
  13. 6
  14. 9
  15. 56
  16. 3
  17. 10
  18. 35
  19. 2
  20. 70
  21. 168
  22. 240
  23. 10
  24. 30
  25. 42
  26. 36
  27. 30
  28. 9
  29. 27
  30. 2
  31. 36
  32. 135
  33. 50
  34. 6
  35. 70
  36. 45
  37. 28
  38. 12
  39. 8
  40. 12

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