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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 117 · 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 55 and 33.
  2. 2.Find the HCF of 45 and 25.
  3. 3.Find the LCM of 25 and 15.
  4. 4.Find the HCF of 27 and 24.
  5. 5.Find the HCF of 52 and 65.
  6. 6.Find the LCM of 4, 11 and 10.
  7. 7.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 24. What is the other number?
  8. 8.Find the LCM of 8 and 36.
  9. 9.Find the HCF of 35 and 49.
  10. 10.Find the LCM of 24 and 27.
  11. 11.Find the LCM of 7, 2 and 4.
  12. 12.Find the HCF of 35 and 20.
  13. 13.Find the LCM of 25 and 10.
  14. 14.Find the LCM of 54 and 42.
  15. 15.Find the LCM of 3, 11 and 4.
  16. 16.Find the HCF of 104 and 39.
  17. 17.Find the LCM of 9, 4 and 5.
  18. 18.Find the LCM of 18 and 4.
  19. 19.Find the LCM of 2 and 5.
  20. 20.Find the LCM of 42 and 12.
  21. 21.Find the HCF of 25 and 10.
  22. 22.Find the HCF of 9 and 21.
  23. 23.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 35. What is the other number?
  24. 24.The HCF of two numbers is 9 and their LCM is 135. One of the numbers is 45. What is the other number?
  25. 25.Find the LCM of 16 and 28.
  26. 26.Find the HCF of 30 and 135.
  27. 27.Find the HCF of 40 and 25.
  28. 28.Find the LCM of 11, 12 and 6.
  29. 29.Find the HCF of 60 and 72.
  30. 30.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 36. What is the other number?
  31. 31.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 36. What is the other number?
  32. 32.Find the LCM of 15 and 40.
  33. 33.Find the HCF of 8 and 20.
  34. 34.The HCF of two numbers is 3 and their LCM is 90. One of the numbers is 18. What is the other number?
  35. 35.Find the HCF of 18 and 4.
  36. 36.The HCF of two numbers is 5 and their LCM is 200. One of the numbers is 25. What is the other number?
  37. 37.Find the HCF of 15 and 21.
  38. 38.Find the LCM of 12, 6 and 5.
  39. 39.Find the LCM of 30 and 24.
  40. 40.Find the LCM of 40 and 45.

Answer key

  1. 11
  2. 5
  3. 75
  4. 3
  5. 13
  6. 220
  7. 9
  8. 72
  9. 7
  10. 216
  11. 28
  12. 5
  13. 50
  14. 378
  15. 132
  16. 13
  17. 180
  18. 36
  19. 10
  20. 84
  21. 5
  22. 3
  23. 63
  24. 27
  25. 112
  26. 15
  27. 5
  28. 132
  29. 12
  30. 45
  31. 20
  32. 120
  33. 4
  34. 15
  35. 2
  36. 40
  37. 3
  38. 60
  39. 120
  40. 360

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