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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 410 · 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 8 and their LCM is 280. One of the numbers is 56. What is the other number?
  2. 2.Find the HCF of 36 and 32.
  3. 3.Find the HCF of 54 and 48.
  4. 4.Find the HCF of 28 and 16.
  5. 5.Find the HCF of 20 and 45.
  6. 6.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 15. What is the other number?
  7. 7.Find the LCM of 8, 3 and 10.
  8. 8.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 6. What is the other number?
  9. 9.Find the HCF of 8 and 14.
  10. 10.Find the LCM of 25 and 35.
  11. 11.Find the HCF of 24 and 64.
  12. 12.Find the HCF of 9 and 21.
  13. 13.The HCF of two numbers is 4 and their LCM is 168. One of the numbers is 24. What is the other number?
  14. 14.Find the LCM of 2 and 3.
  15. 15.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 42. What is the other number?
  16. 16.The HCF of two numbers is 4 and their LCM is 144. One of the numbers is 36. What is the other number?
  17. 17.The HCF of two numbers is 5 and their LCM is 100. One of the numbers is 25. What is the other number?
  18. 18.The HCF of two numbers is 8 and their LCM is 112. One of the numbers is 56. What is the other number?
  19. 19.Find the HCF of 75 and 45.
  20. 20.Find the LCM of 8 and 20.
  21. 21.Find the LCM of 4, 2 and 9.
  22. 22.The HCF of two numbers is 6 and their LCM is 432. One of the numbers is 54. What is the other number?
  23. 23.Find the LCM of 5, 11 and 2.
  24. 24.Find the HCF of 75 and 30.
  25. 25.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 81. What is the other number?
  26. 26.Find the HCF of 91 and 65.
  27. 27.Find the LCM of 8 and 3.
  28. 28.Find the HCF of 6 and 27.
  29. 29.Find the LCM of 4, 8 and 3.
  30. 30.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 45. What is the other number?
  31. 31.The HCF of two numbers is 6 and their LCM is 60. One of the numbers is 30. What is the other number?
  32. 32.Find the HCF of 10 and 15.
  33. 33.Find the HCF of 39 and 104.
  34. 34.Find the LCM of 9, 4 and 15.
  35. 35.Find the LCM of 3, 14 and 2.
  36. 36.Find the LCM of 2, 6 and 7.
  37. 37.Find the HCF of 6 and 15.
  38. 38.The HCF of two numbers is 8 and their LCM is 112. One of the numbers is 16. What is the other number?
  39. 39.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 18. What is the other number?
  40. 40.Find the LCM of 2 and 5.

Answer key

  1. 40
  2. 4
  3. 6
  4. 4
  5. 5
  6. 24
  7. 120
  8. 4
  9. 2
  10. 175
  11. 8
  12. 3
  13. 28
  14. 6
  15. 12
  16. 16
  17. 20
  18. 16
  19. 15
  20. 40
  21. 36
  22. 48
  23. 110
  24. 15
  25. 18
  26. 13
  27. 24
  28. 3
  29. 24
  30. 35
  31. 12
  32. 5
  33. 13
  34. 180
  35. 42
  36. 42
  37. 3
  38. 56
  39. 10
  40. 10

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