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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 325 · 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 6 and 4.
  2. 2.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 9. What is the other number?
  3. 3.Find the HCF of 12 and 28.
  4. 4.Find the LCM of 12 and 30.
  5. 5.Find the HCF of 10 and 14.
  6. 6.Find the LCM of 15 and 35.
  7. 7.The HCF of two numbers is 8 and their LCM is 112. One of the numbers is 16. What is the other number?
  8. 8.Find the HCF of 15 and 12.
  9. 9.Find the LCM of 8 and 36.
  10. 10.Find the HCF of 42 and 112.
  11. 11.Find the LCM of 4 and 14.
  12. 12.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 9. What is the other number?
  13. 13.Find the LCM of 30 and 48.
  14. 14.Find the LCM of 10, 5 and 15.
  15. 15.The HCF of two numbers is 8 and their LCM is 192. One of the numbers is 24. What is the other number?
  16. 16.Find the HCF of 24 and 84.
  17. 17.Find the HCF of 84 and 60.
  18. 18.Find the HCF of 105 and 75.
  19. 19.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 15. What is the other number?
  20. 20.Find the LCM of 12, 14 and 2.
  21. 21.Find the LCM of 6, 13 and 3.
  22. 22.Find the LCM of 45 and 40.
  23. 23.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 6. What is the other number?
  24. 24.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 35. What is the other number?
  25. 25.Find the HCF of 40 and 56.
  26. 26.Find the LCM of 6, 10 and 15.
  27. 27.The HCF of two numbers is 9 and their LCM is 324. One of the numbers is 81. What is the other number?
  28. 28.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 10. What is the other number?
  29. 29.Find the HCF of 42 and 70.
  30. 30.Find the LCM of 9 and 4.
  31. 31.The HCF of two numbers is 8 and their LCM is 288. One of the numbers is 32. What is the other number?
  32. 32.Find the LCM of 40 and 45.
  33. 33.Find the LCM of 2, 3 and 4.
  34. 34.Find the LCM of 10, 2 and 11.
  35. 35.The HCF of two numbers is 9 and their LCM is 270. One of the numbers is 54. What is the other number?
  36. 36.Find the LCM of 8 and 6.
  37. 37.Find the LCM of 12 and 14.
  38. 38.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 12. What is the other number?
  39. 39.Find the HCF of 120 and 105.
  40. 40.Find the HCF of 4 and 6.

Answer key

  1. 2
  2. 15
  3. 4
  4. 60
  5. 2
  6. 105
  7. 56
  8. 3
  9. 72
  10. 14
  11. 28
  12. 21
  13. 240
  14. 30
  15. 64
  16. 12
  17. 12
  18. 15
  19. 9
  20. 84
  21. 78
  22. 360
  23. 4
  24. 56
  25. 8
  26. 30
  27. 36
  28. 6
  29. 14
  30. 36
  31. 72
  32. 360
  33. 12
  34. 110
  35. 45
  36. 24
  37. 84
  38. 18
  39. 15
  40. 2

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