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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 639 · 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 20 and 25.
  2. 2.Find the LCM of 9 and 15.
  3. 3.Find the HCF of 12 and 10.
  4. 4.Find the LCM of 2, 7 and 13.
  5. 5.Find the LCM of 42 and 48.
  6. 6.Find the HCF of 56 and 42.
  7. 7.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 30. What is the other number?
  8. 8.Find the HCF of 16 and 18.
  9. 9.The HCF of two numbers is 4 and their LCM is 160. One of the numbers is 20. What is the other number?
  10. 10.Find the LCM of 9 and 21.
  11. 11.Find the HCF of 70 and 84.
  12. 12.Find the LCM of 18 and 4.
  13. 13.Find the LCM of 14 and 8.
  14. 14.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 12. What is the other number?
  15. 15.Find the LCM of 45 and 25.
  16. 16.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 18. What is the other number?
  17. 17.Find the LCM of 8, 9 and 2.
  18. 18.Find the HCF of 20 and 28.
  19. 19.Find the HCF of 90 and 75.
  20. 20.Find the LCM of 3, 5 and 10.
  21. 21.Find the LCM of 7, 15 and 5.
  22. 22.Find the LCM of 7, 5 and 10.
  23. 23.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 12. What is the other number?
  24. 24.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 9. What is the other number?
  25. 25.Find the LCM of 4, 11 and 5.
  26. 26.Find the HCF of 65 and 26.
  27. 27.Find the HCF of 36 and 16.
  28. 28.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 16. What is the other number?
  29. 29.Find the HCF of 56 and 70.
  30. 30.Find the LCM of 10 and 8.
  31. 31.Find the LCM of 3, 14 and 2.
  32. 32.Find the LCM of 27 and 24.
  33. 33.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 49. What is the other number?
  34. 34.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 16. What is the other number?
  35. 35.Find the HCF of 20 and 8.
  36. 36.Find the HCF of 78 and 65.
  37. 37.Find the LCM of 3 and 8.
  38. 38.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 14. What is the other number?
  39. 39.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 14. What is the other number?
  40. 40.Find the HCF of 18 and 81.

Answer key

  1. 5
  2. 45
  3. 2
  4. 182
  5. 336
  6. 14
  7. 18
  8. 2
  9. 32
  10. 63
  11. 14
  12. 36
  13. 56
  14. 16
  15. 225
  16. 14
  17. 72
  18. 4
  19. 15
  20. 30
  21. 105
  22. 70
  23. 8
  24. 12
  25. 220
  26. 13
  27. 4
  28. 12
  29. 14
  30. 40
  31. 42
  32. 216
  33. 14
  34. 72
  35. 4
  36. 13
  37. 24
  38. 49
  39. 16
  40. 9

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