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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 787 · 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 LCM of 18 and 24.
  2. 2.Find the HCF of 45 and 20.
  3. 3.Find the LCM of 12, 9 and 5.
  4. 4.Find the HCF of 45 and 35.
  5. 5.Find the LCM of 14 and 18.
  6. 6.Find the HCF of 36 and 96.
  7. 7.Find the HCF of 81 and 18.
  8. 8.Find the HCF of 8 and 18.
  9. 9.Find the HCF of 42 and 56.
  10. 10.The HCF of two numbers is 5 and their LCM is 100. One of the numbers is 20. What is the other number?
  11. 11.Find the LCM of 2, 15 and 7.
  12. 12.Find the LCM of 30 and 24.
  13. 13.The HCF of two numbers is 6 and their LCM is 180. One of the numbers is 36. What is the other number?
  14. 14.Find the HCF of 21 and 35.
  15. 15.Find the LCM of 10, 3 and 15.
  16. 16.Find the LCM of 14, 7 and 4.
  17. 17.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 9. What is the other number?
  18. 18.Find the HCF of 30 and 25.
  19. 19.Find the LCM of 27 and 12.
  20. 20.Find the HCF of 16 and 72.
  21. 21.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 10. What is the other number?
  22. 22.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 32. What is the other number?
  23. 23.Find the HCF of 112 and 98.
  24. 24.The HCF of two numbers is 4 and their LCM is 252. One of the numbers is 36. What is the other number?
  25. 25.Find the HCF of 20 and 30.
  26. 26.Find the LCM of 9 and 2.
  27. 27.Find the LCM of 12 and 18.
  28. 28.Find the LCM of 3, 8 and 5.
  29. 29.Find the LCM of 48 and 18.
  30. 30.Find the LCM of 18 and 30.
  31. 31.Find the LCM of 2, 8 and 7.
  32. 32.Find the LCM of 36 and 8.
  33. 33.Find the HCF of 30 and 18.
  34. 34.Find the LCM of 7, 4 and 6.
  35. 35.Find the LCM of 12, 9 and 3.
  36. 36.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 16. What is the other number?
  37. 37.Find the HCF of 48 and 40.
  38. 38.Find the HCF of 108 and 24.
  39. 39.Find the LCM of 15, 2 and 10.
  40. 40.Find the LCM of 3, 14 and 12.

Answer key

  1. 72
  2. 5
  3. 180
  4. 5
  5. 126
  6. 12
  7. 9
  8. 2
  9. 14
  10. 25
  11. 210
  12. 120
  13. 30
  14. 7
  15. 30
  16. 28
  17. 12
  18. 5
  19. 108
  20. 8
  21. 15
  22. 28
  23. 14
  24. 28
  25. 10
  26. 18
  27. 36
  28. 120
  29. 144
  30. 90
  31. 56
  32. 72
  33. 6
  34. 84
  35. 36
  36. 24
  37. 8
  38. 12
  39. 30
  40. 84

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