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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 103 · 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 8 and their LCM is 112. One of the numbers is 56. What is the other number?
  2. 2.Find the HCF of 120 and 105.
  3. 3.Find the HCF of 49 and 35.
  4. 4.Find the LCM of 54 and 42.
  5. 5.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 12. What is the other number?
  6. 6.Find the LCM of 8 and 18.
  7. 7.Find the HCF of 30 and 45.
  8. 8.Find the HCF of 20 and 70.
  9. 9.Find the LCM of 7, 6 and 15.
  10. 10.Find the LCM of 4 and 18.
  11. 11.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 63. What is the other number?
  12. 12.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 30. What is the other number?
  13. 13.Find the LCM of 10, 8 and 12.
  14. 14.Find the HCF of 15 and 24.
  15. 15.Find the LCM of 10 and 35.
  16. 16.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 16. What is the other number?
  17. 17.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 35. What is the other number?
  18. 18.Find the HCF of 12 and 20.
  19. 19.Find the LCM of 8 and 20.
  20. 20.Find the LCM of 18 and 30.
  21. 21.Find the HCF of 56 and 72.
  22. 22.Find the LCM of 6 and 5.
  23. 23.Find the HCF of 45 and 30.
  24. 24.Find the LCM of 20 and 12.
  25. 25.Find the HCF of 21 and 56.
  26. 26.Find the LCM of 16 and 14.
  27. 27.The HCF of two numbers is 8 and their LCM is 240. One of the numbers is 40. What is the other number?
  28. 28.Find the HCF of 64 and 24.
  29. 29.Find the LCM of 10, 6 and 9.
  30. 30.Find the LCM of 3, 15 and 6.
  31. 31.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 49. What is the other number?
  32. 32.Find the HCF of 8 and 20.
  33. 33.Find the LCM of 25 and 40.
  34. 34.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 18. What is the other number?
  35. 35.The HCF of two numbers is 9 and their LCM is 360. One of the numbers is 72. What is the other number?
  36. 36.Find the LCM of 12 and 10.
  37. 37.Find the LCM of 14, 4 and 12.
  38. 38.Find the LCM of 2, 3 and 15.
  39. 39.Find the HCF of 18 and 45.
  40. 40.Find the HCF of 10 and 15.

Answer key

  1. 16
  2. 15
  3. 7
  4. 378
  5. 16
  6. 72
  7. 15
  8. 10
  9. 210
  10. 36
  11. 81
  12. 25
  13. 120
  14. 3
  15. 70
  16. 24
  17. 14
  18. 4
  19. 40
  20. 90
  21. 8
  22. 30
  23. 15
  24. 60
  25. 7
  26. 112
  27. 48
  28. 8
  29. 90
  30. 30
  31. 14
  32. 4
  33. 200
  34. 14
  35. 45
  36. 60
  37. 84
  38. 30
  39. 9
  40. 5

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