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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 119 · 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 8.
  2. 2.Find the LCM of 5, 15 and 14.
  3. 3.Find the HCF of 33 and 77.
  4. 4.Find the LCM of 10, 2 and 15.
  5. 5.Find the HCF of 27 and 15.
  6. 6.Find the HCF of 18 and 12.
  7. 7.Find the LCM of 8, 15 and 4.
  8. 8.Find the HCF of 90 and 105.
  9. 9.Find the LCM of 6, 7 and 9.
  10. 10.Find the LCM of 2, 12 and 3.
  11. 11.Find the HCF of 96 and 60.
  12. 12.Find the LCM of 14, 15 and 2.
  13. 13.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 10. What is the other number?
  14. 14.Find the HCF of 56 and 42.
  15. 15.Find the HCF of 30 and 40.
  16. 16.Find the LCM of 5, 10 and 13.
  17. 17.The HCF of two numbers is 6 and their LCM is 336. One of the numbers is 48. What is the other number?
  18. 18.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 20. What is the other number?
  19. 19.Find the HCF of 18 and 24.
  20. 20.Find the LCM of 25 and 35.
  21. 21.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 12. What is the other number?
  22. 22.Find the LCM of 5 and 6.
  23. 23.The HCF of two numbers is 4 and their LCM is 252. One of the numbers is 28. What is the other number?
  24. 24.Find the HCF of 66 and 77.
  25. 25.Find the LCM of 24 and 27.
  26. 26.Find the LCM of 2 and 5.
  27. 27.Find the HCF of 20 and 25.
  28. 28.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 40. What is the other number?
  29. 29.Find the HCF of 36 and 24.
  30. 30.Find the LCM of 15 and 18.
  31. 31.Find the LCM of 6 and 15.
  32. 32.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 40. What is the other number?
  33. 33.The HCF of two numbers is 9 and their LCM is 360. One of the numbers is 45. What is the other number?
  34. 34.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 35. What is the other number?
  35. 35.Find the LCM of 2, 15 and 3.
  36. 36.Find the LCM of 2, 6 and 10.
  37. 37.The HCF of two numbers is 4 and their LCM is 144. One of the numbers is 16. What is the other number?
  38. 38.Find the LCM of 3, 8 and 6.
  39. 39.Find the LCM of 36 and 30.
  40. 40.Find the LCM of 24 and 9.

Answer key

  1. 4
  2. 210
  3. 11
  4. 30
  5. 3
  6. 6
  7. 120
  8. 15
  9. 126
  10. 12
  11. 12
  12. 210
  13. 4
  14. 14
  15. 10
  16. 130
  17. 42
  18. 15
  19. 6
  20. 175
  21. 15
  22. 30
  23. 36
  24. 11
  25. 216
  26. 10
  27. 5
  28. 15
  29. 12
  30. 90
  31. 30
  32. 24
  33. 72
  34. 10
  35. 30
  36. 30
  37. 36
  38. 24
  39. 180
  40. 72

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