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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 108 · 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 9 and their LCM is 360. One of the numbers is 45. What is the other number?
  2. 2.Find the HCF of 26 and 117.
  3. 3.Find the HCF of 35 and 30.
  4. 4.Find the HCF of 30 and 36.
  5. 5.Find the LCM of 2, 11 and 6.
  6. 6.Find the LCM of 54 and 30.
  7. 7.Find the LCM of 5 and 4.
  8. 8.Find the LCM of 2, 4 and 11.
  9. 9.Find the HCF of 25 and 15.
  10. 10.Find the LCM of 2, 14 and 8.
  11. 11.Find the LCM of 4 and 6.
  12. 12.Find the LCM of 4, 9 and 8.
  13. 13.Find the LCM of 6, 14 and 2.
  14. 14.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 56. What is the other number?
  15. 15.Find the LCM of 2, 4 and 5.
  16. 16.Find the HCF of 18 and 15.
  17. 17.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 15. What is the other number?
  18. 18.Find the HCF of 49 and 14.
  19. 19.Find the LCM of 35 and 40.
  20. 20.Find the LCM of 5, 10 and 11.
  21. 21.Find the LCM of 12 and 16.
  22. 22.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 4. What is the other number?
  23. 23.Find the LCM of 12 and 20.
  24. 24.Find the HCF of 22 and 33.
  25. 25.Find the HCF of 117 and 65.
  26. 26.Find the HCF of 24 and 9.
  27. 27.Find the HCF of 65 and 104.
  28. 28.Find the HCF of 36 and 32.
  29. 29.Find the LCM of 2, 10 and 5.
  30. 30.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 45. What is the other number?
  31. 31.Find the HCF of 55 and 66.
  32. 32.Find the HCF of 24 and 20.
  33. 33.Find the HCF of 6 and 10.
  34. 34.Find the HCF of 63 and 28.
  35. 35.Find the LCM of 9 and 2.
  36. 36.Find the LCM of 6 and 8.
  37. 37.The HCF of two numbers is 3 and their LCM is 189. One of the numbers is 21. What is the other number?
  38. 38.Find the LCM of 8, 10 and 15.
  39. 39.Find the LCM of 10, 8 and 3.
  40. 40.Find the HCF of 20 and 50.

Answer key

  1. 72
  2. 13
  3. 5
  4. 6
  5. 66
  6. 270
  7. 20
  8. 44
  9. 5
  10. 56
  11. 12
  12. 72
  13. 42
  14. 48
  15. 20
  16. 3
  17. 35
  18. 7
  19. 280
  20. 110
  21. 48
  22. 14
  23. 60
  24. 11
  25. 13
  26. 3
  27. 13
  28. 4
  29. 10
  30. 18
  31. 11
  32. 4
  33. 2
  34. 7
  35. 18
  36. 24
  37. 27
  38. 120
  39. 120
  40. 10

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