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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 500 · 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 2 and their LCM is 84. One of the numbers is 14. What is the other number?
  2. 2.Find the LCM of 3, 7 and 2.
  3. 3.Find the LCM of 2 and 9.
  4. 4.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 12. What is the other number?
  5. 5.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 18. What is the other number?
  6. 6.Find the LCM of 9, 10 and 6.
  7. 7.Find the LCM of 3 and 2.
  8. 8.Find the LCM of 28 and 24.
  9. 9.Find the HCF of 42 and 56.
  10. 10.Find the HCF of 18 and 24.
  11. 11.Find the HCF of 35 and 28.
  12. 12.Find the HCF of 33 and 22.
  13. 13.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 49. What is the other number?
  14. 14.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 6. What is the other number?
  15. 15.Find the LCM of 8 and 20.
  16. 16.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 14. What is the other number?
  17. 17.Find the HCF of 35 and 14.
  18. 18.Find the LCM of 4, 8 and 12.
  19. 19.Find the LCM of 7, 3 and 14.
  20. 20.Find the HCF of 49 and 14.
  21. 21.Find the LCM of 8, 9 and 2.
  22. 22.Find the HCF of 8 and 6.
  23. 23.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 18. What is the other number?
  24. 24.Find the HCF of 49 and 63.
  25. 25.Find the HCF of 21 and 56.
  26. 26.Find the HCF of 45 and 75.
  27. 27.Find the HCF of 98 and 56.
  28. 28.Find the HCF of 32 and 20.
  29. 29.The HCF of two numbers is 5 and their LCM is 225. One of the numbers is 45. What is the other number?
  30. 30.The HCF of two numbers is 6 and their LCM is 60. One of the numbers is 30. What is the other number?
  31. 31.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 56. What is the other number?
  32. 32.Find the LCM of 16 and 36.
  33. 33.Find the LCM of 30 and 12.
  34. 34.Find the LCM of 12, 7 and 14.
  35. 35.Find the HCF of 26 and 117.
  36. 36.Find the HCF of 120 and 105.
  37. 37.Find the LCM of 12 and 9.
  38. 38.Find the HCF of 32 and 36.
  39. 39.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 36. What is the other number?
  40. 40.Find the LCM of 27 and 24.

Answer key

  1. 12
  2. 42
  3. 18
  4. 8
  5. 21
  6. 90
  7. 6
  8. 168
  9. 14
  10. 6
  11. 7
  12. 11
  13. 63
  14. 27
  15. 40
  16. 4
  17. 7
  18. 24
  19. 42
  20. 7
  21. 72
  22. 2
  23. 16
  24. 7
  25. 7
  26. 15
  27. 14
  28. 4
  29. 25
  30. 12
  31. 32
  32. 144
  33. 60
  34. 84
  35. 13
  36. 15
  37. 36
  38. 4
  39. 27
  40. 216

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