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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 162 · 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 15 and 10.
  2. 2.Find the LCM of 25 and 15.
  3. 3.The HCF of two numbers is 5 and their LCM is 200. One of the numbers is 40. What is the other number?
  4. 4.Find the LCM of 2, 6 and 7.
  5. 5.Find the LCM of 4, 9 and 2.
  6. 6.Find the LCM of 25 and 20.
  7. 7.Find the HCF of 27 and 18.
  8. 8.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 4. What is the other number?
  9. 9.Find the LCM of 42 and 12.
  10. 10.Find the LCM of 16 and 12.
  11. 11.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 24. What is the other number?
  12. 12.Find the HCF of 40 and 64.
  13. 13.The HCF of two numbers is 6 and their LCM is 60. One of the numbers is 12. What is the other number?
  14. 14.Find the HCF of 6 and 14.
  15. 15.Find the LCM of 12 and 18.
  16. 16.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 49. What is the other number?
  17. 17.Find the HCF of 60 and 36.
  18. 18.Find the HCF of 48 and 18.
  19. 19.Find the HCF of 63 and 72.
  20. 20.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 9. What is the other number?
  21. 21.Find the LCM of 2, 3 and 13.
  22. 22.The HCF of two numbers is 9 and their LCM is 378. One of the numbers is 63. What is the other number?
  23. 23.Find the HCF of 30 and 54.
  24. 24.Find the LCM of 9, 7 and 3.
  25. 25.Find the LCM of 8, 3 and 9.
  26. 26.Find the LCM of 9, 14 and 2.
  27. 27.Find the HCF of 108 and 48.
  28. 28.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 9. What is the other number?
  29. 29.Find the LCM of 15 and 12.
  30. 30.Find the HCF of 32 and 56.
  31. 31.The HCF of two numbers is 8 and their LCM is 320. One of the numbers is 40. What is the other number?
  32. 32.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 48. What is the other number?
  33. 33.Find the LCM of 4, 10 and 11.
  34. 34.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 24. What is the other number?
  35. 35.The HCF of two numbers is 9 and their LCM is 324. One of the numbers is 81. What is the other number?
  36. 36.Find the LCM of 9, 2 and 3.
  37. 37.Find the HCF of 75 and 105.
  38. 38.Find the LCM of 12 and 9.
  39. 39.Find the HCF of 24 and 32.
  40. 40.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 63. What is the other number?

Answer key

  1. 5
  2. 75
  3. 25
  4. 42
  5. 36
  6. 100
  7. 9
  8. 6
  9. 84
  10. 48
  11. 16
  12. 8
  13. 30
  14. 2
  15. 36
  16. 63
  17. 12
  18. 6
  19. 9
  20. 24
  21. 78
  22. 54
  23. 6
  24. 63
  25. 72
  26. 126
  27. 12
  28. 6
  29. 60
  30. 8
  31. 64
  32. 18
  33. 220
  34. 9
  35. 36
  36. 18
  37. 15
  38. 36
  39. 8
  40. 18

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