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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 335 · 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 81 and 18.
  2. 2.Find the LCM of 11, 3 and 12.
  3. 3.Find the HCF of 55 and 33.
  4. 4.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 14. What is the other number?
  5. 5.Find the LCM of 48 and 42.
  6. 6.Find the LCM of 18 and 14.
  7. 7.Find the LCM of 5 and 4.
  8. 8.Find the HCF of 33 and 77.
  9. 9.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 16. What is the other number?
  10. 10.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 28. What is the other number?
  11. 11.Find the LCM of 14 and 6.
  12. 12.Find the HCF of 9 and 15.
  13. 13.Find the HCF of 14 and 16.
  14. 14.Find the HCF of 15 and 40.
  15. 15.Find the LCM of 12 and 18.
  16. 16.Find the LCM of 12 and 14.
  17. 17.Find the HCF of 12 and 8.
  18. 18.Find the HCF of 24 and 84.
  19. 19.Find the LCM of 14, 3 and 10.
  20. 20.Find the LCM of 15 and 27.
  21. 21.Find the LCM of 9 and 21.
  22. 22.Find the LCM of 6, 15 and 3.
  23. 23.Find the LCM of 18 and 42.
  24. 24.Find the LCM of 14, 12 and 4.
  25. 25.Find the HCF of 42 and 56.
  26. 26.Find the LCM of 4, 2 and 9.
  27. 27.Find the LCM of 15 and 6.
  28. 28.The HCF of two numbers is 4 and their LCM is 144. One of the numbers is 16. What is the other number?
  29. 29.Find the HCF of 28 and 35.
  30. 30.Find the LCM of 14, 5 and 10.
  31. 31.Find the LCM of 5, 3 and 13.
  32. 32.Find the LCM of 6, 8 and 10.
  33. 33.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 18. What is the other number?
  34. 34.Find the LCM of 4 and 7.
  35. 35.Find the HCF of 12 and 27.
  36. 36.Find the LCM of 2 and 7.
  37. 37.Find the HCF of 18 and 30.
  38. 38.The HCF of two numbers is 9 and their LCM is 270. One of the numbers is 45. What is the other number?
  39. 39.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 56. What is the other number?
  40. 40.Find the HCF of 12 and 54.

Answer key

  1. 9
  2. 132
  3. 11
  4. 18
  5. 336
  6. 126
  7. 20
  8. 11
  9. 28
  10. 20
  11. 42
  12. 3
  13. 2
  14. 5
  15. 36
  16. 84
  17. 4
  18. 12
  19. 210
  20. 135
  21. 63
  22. 30
  23. 126
  24. 84
  25. 14
  26. 36
  27. 30
  28. 36
  29. 7
  30. 70
  31. 195
  32. 120
  33. 48
  34. 28
  35. 3
  36. 14
  37. 6
  38. 54
  39. 32
  40. 6

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