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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 396 · 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 6 and their LCM is 90. One of the numbers is 30. What is the other number?
  2. 2.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 6. What is the other number?
  3. 3.The HCF of two numbers is 6 and their LCM is 108. One of the numbers is 12. What is the other number?
  4. 4.Find the LCM of 20 and 32.
  5. 5.Find the HCF of 30 and 25.
  6. 6.The HCF of two numbers is 8 and their LCM is 168. One of the numbers is 56. What is the other number?
  7. 7.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 4. What is the other number?
  8. 8.Find the HCF of 40 and 25.
  9. 9.Find the LCM of 48 and 42.
  10. 10.Find the HCF of 32 and 28.
  11. 11.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 15. What is the other number?
  12. 12.Find the LCM of 2, 15 and 3.
  13. 13.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 20. What is the other number?
  14. 14.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 16. What is the other number?
  15. 15.The HCF of two numbers is 8 and their LCM is 504. One of the numbers is 72. What is the other number?
  16. 16.Find the LCM of 12, 8 and 7.
  17. 17.Find the HCF of 135 and 120.
  18. 18.Find the LCM of 4, 7 and 12.
  19. 19.The HCF of two numbers is 7 and their LCM is 168. One of the numbers is 21. What is the other number?
  20. 20.Find the HCF of 33 and 88.
  21. 21.Find the HCF of 24 and 60.
  22. 22.Find the HCF of 48 and 42.
  23. 23.Find the HCF of 54 and 12.
  24. 24.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 18. What is the other number?
  25. 25.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 27. What is the other number?
  26. 26.Find the LCM of 6 and 4.
  27. 27.Find the LCM of 4 and 6.
  28. 28.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 30. What is the other number?
  29. 29.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 27. What is the other number?
  30. 30.Find the LCM of 3, 14 and 5.
  31. 31.Find the LCM of 2 and 9.
  32. 32.Find the LCM of 6 and 7.
  33. 33.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 14. What is the other number?
  34. 34.Find the HCF of 56 and 64.
  35. 35.Find the LCM of 4, 7 and 2.
  36. 36.Find the HCF of 18 and 63.
  37. 37.Find the LCM of 2, 14 and 6.
  38. 38.Find the HCF of 135 and 105.
  39. 39.Find the HCF of 18 and 81.
  40. 40.Find the LCM of 25 and 35.

Answer key

  1. 18
  2. 4
  3. 54
  4. 160
  5. 5
  6. 24
  7. 10
  8. 5
  9. 336
  10. 4
  11. 21
  12. 30
  13. 8
  14. 14
  15. 56
  16. 168
  17. 15
  18. 84
  19. 56
  20. 11
  21. 12
  22. 6
  23. 6
  24. 12
  25. 15
  26. 12
  27. 12
  28. 25
  29. 12
  30. 210
  31. 18
  32. 42
  33. 10
  34. 8
  35. 28
  36. 9
  37. 42
  38. 15
  39. 9
  40. 175

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