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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 402 · 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 56. One of the numbers is 8. What is the other number?
  2. 2.Find the LCM of 3 and 4.
  3. 3.The HCF of two numbers is 6 and their LCM is 180. One of the numbers is 36. What is the other number?
  4. 4.Find the HCF of 27 and 36.
  5. 5.Find the HCF of 135 and 30.
  6. 6.Find the HCF of 39 and 65.
  7. 7.Find the HCF of 30 and 135.
  8. 8.Find the HCF of 25 and 10.
  9. 9.Find the LCM of 12, 2 and 4.
  10. 10.Find the LCM of 8, 15 and 3.
  11. 11.Find the HCF of 45 and 54.
  12. 12.Find the LCM of 15 and 20.
  13. 13.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 18. What is the other number?
  14. 14.Find the LCM of 12, 6 and 4.
  15. 15.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 15. What is the other number?
  16. 16.Find the HCF of 36 and 63.
  17. 17.Find the LCM of 6 and 5.
  18. 18.Find the LCM of 28 and 12.
  19. 19.Find the LCM of 8, 2 and 7.
  20. 20.Find the HCF of 48 and 54.
  21. 21.The HCF of two numbers is 6 and their LCM is 120. One of the numbers is 30. What is the other number?
  22. 22.Find the HCF of 105 and 75.
  23. 23.Find the HCF of 60 and 108.
  24. 24.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 9. What is the other number?
  25. 25.The HCF of two numbers is 8 and their LCM is 576. One of the numbers is 72. What is the other number?
  26. 26.Find the LCM of 36 and 28.
  27. 27.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 45. What is the other number?
  28. 28.Find the HCF of 26 and 65.
  29. 29.The HCF of two numbers is 8 and their LCM is 280. One of the numbers is 56. What is the other number?
  30. 30.Find the LCM of 5, 10 and 4.
  31. 31.Find the HCF of 33 and 44.
  32. 32.Find the LCM of 42 and 48.
  33. 33.Find the HCF of 24 and 40.
  34. 34.Find the LCM of 3, 4 and 6.
  35. 35.Find the LCM of 16 and 10.
  36. 36.Find the LCM of 35 and 15.
  37. 37.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 28. What is the other number?
  38. 38.Find the LCM of 14, 10 and 7.
  39. 39.Find the LCM of 2, 10 and 12.
  40. 40.The HCF of two numbers is 8 and their LCM is 288. One of the numbers is 72. What is the other number?

Answer key

  1. 14
  2. 12
  3. 30
  4. 9
  5. 15
  6. 13
  7. 15
  8. 5
  9. 12
  10. 120
  11. 9
  12. 60
  13. 10
  14. 12
  15. 40
  16. 9
  17. 30
  18. 84
  19. 56
  20. 6
  21. 24
  22. 15
  23. 12
  24. 24
  25. 64
  26. 252
  27. 18
  28. 13
  29. 40
  30. 20
  31. 11
  32. 336
  33. 8
  34. 12
  35. 80
  36. 105
  37. 21
  38. 70
  39. 60
  40. 32

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