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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 417 · 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 28 and 24.
  2. 2.Find the LCM of 8, 4 and 2.
  3. 3.Find the LCM of 3, 7 and 11.
  4. 4.Find the LCM of 42 and 54.
  5. 5.Find the LCM of 20 and 15.
  6. 6.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 27. What is the other number?
  7. 7.Find the HCF of 15 and 20.
  8. 8.Find the HCF of 33 and 77.
  9. 9.Find the LCM of 20 and 32.
  10. 10.The HCF of two numbers is 3 and their LCM is 90. One of the numbers is 18. What is the other number?
  11. 11.Find the HCF of 108 and 48.
  12. 12.Find the HCF of 135 and 120.
  13. 13.Find the LCM of 11, 5 and 2.
  14. 14.Find the LCM of 40 and 35.
  15. 15.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 10. What is the other number?
  16. 16.The HCF of two numbers is 3 and their LCM is 168. One of the numbers is 21. What is the other number?
  17. 17.Find the HCF of 42 and 30.
  18. 18.Find the HCF of 50 and 90.
  19. 19.Find the LCM of 15, 6 and 3.
  20. 20.Find the LCM of 15, 6 and 5.
  21. 21.The HCF of two numbers is 9 and their LCM is 360. One of the numbers is 45. What is the other number?
  22. 22.Find the LCM of 4, 8 and 6.
  23. 23.The HCF of two numbers is 6 and their LCM is 108. One of the numbers is 12. What is the other number?
  24. 24.Find the LCM of 25 and 35.
  25. 25.Find the HCF of 55 and 33.
  26. 26.Find the LCM of 10, 2 and 9.
  27. 27.Find the LCM of 10 and 15.
  28. 28.Find the LCM of 36 and 16.
  29. 29.Find the LCM of 36 and 42.
  30. 30.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 15. What is the other number?
  31. 31.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 18. What is the other number?
  32. 32.Find the LCM of 6, 2 and 7.
  33. 33.Find the LCM of 5 and 8.
  34. 34.Find the LCM of 45 and 35.
  35. 35.Find the HCF of 98 and 56.
  36. 36.Find the LCM of 7, 3 and 15.
  37. 37.Find the HCF of 33 and 22.
  38. 38.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 18. What is the other number?
  39. 39.Find the HCF of 35 and 40.
  40. 40.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 16. What is the other number?

Answer key

  1. 4
  2. 8
  3. 231
  4. 378
  5. 60
  6. 24
  7. 5
  8. 11
  9. 160
  10. 15
  11. 12
  12. 15
  13. 110
  14. 280
  15. 14
  16. 24
  17. 6
  18. 10
  19. 30
  20. 30
  21. 72
  22. 24
  23. 54
  24. 175
  25. 11
  26. 90
  27. 30
  28. 144
  29. 252
  30. 6
  31. 21
  32. 42
  33. 40
  34. 315
  35. 14
  36. 105
  37. 11
  38. 45
  39. 5
  40. 14

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