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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 306 · 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 14 and 21.
  2. 2.Find the HCF of 10 and 6.
  3. 3.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 9. What is the other number?
  4. 4.Find the LCM of 5, 6 and 9.
  5. 5.Find the LCM of 42 and 24.
  6. 6.Find the LCM of 10, 15 and 12.
  7. 7.Find the HCF of 56 and 35.
  8. 8.Find the LCM of 5 and 8.
  9. 9.Find the LCM of 3, 8 and 14.
  10. 10.The HCF of two numbers is 9 and their LCM is 360. One of the numbers is 45. What is the other number?
  11. 11.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 27. What is the other number?
  12. 12.Find the LCM of 45 and 10.
  13. 13.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 56. What is the other number?
  14. 14.Find the HCF of 45 and 18.
  15. 15.The HCF of two numbers is 6 and their LCM is 378. One of the numbers is 42. What is the other number?
  16. 16.The HCF of two numbers is 5 and their LCM is 175. One of the numbers is 35. What is the other number?
  17. 17.Find the LCM of 25 and 15.
  18. 18.Find the LCM of 4, 9 and 10.
  19. 19.Find the LCM of 30 and 18.
  20. 20.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 16. What is the other number?
  21. 21.Find the LCM of 18 and 4.
  22. 22.Find the HCF of 21 and 6.
  23. 23.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 20. What is the other number?
  24. 24.Find the LCM of 6, 15 and 9.
  25. 25.Find the LCM of 6 and 14.
  26. 26.Find the HCF of 72 and 81.
  27. 27.The HCF of two numbers is 2 and their LCM is 60. One of the numbers is 12. What is the other number?
  28. 28.Find the LCM of 7 and 4.
  29. 29.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 16. What is the other number?
  30. 30.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 6. What is the other number?
  31. 31.Find the LCM of 48 and 30.
  32. 32.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 15. What is the other number?
  33. 33.Find the HCF of 30 and 135.
  34. 34.Find the HCF of 75 and 105.
  35. 35.Find the LCM of 6 and 21.
  36. 36.Find the HCF of 77 and 99.
  37. 37.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 6. What is the other number?
  38. 38.Find the HCF of 45 and 75.
  39. 39.Find the HCF of 44 and 33.
  40. 40.Find the HCF of 18 and 30.

Answer key

  1. 7
  2. 2
  3. 12
  4. 90
  5. 168
  6. 60
  7. 7
  8. 40
  9. 168
  10. 72
  11. 36
  12. 90
  13. 32
  14. 9
  15. 54
  16. 25
  17. 75
  18. 180
  19. 90
  20. 40
  21. 36
  22. 3
  23. 15
  24. 90
  25. 42
  26. 9
  27. 10
  28. 28
  29. 18
  30. 14
  31. 240
  32. 40
  33. 15
  34. 15
  35. 42
  36. 11
  37. 15
  38. 15
  39. 11
  40. 6

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