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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 797 · 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 10, 9 and 6.
  2. 2.Find the HCF of 8 and 12.
  3. 3.Find the LCM of 25 and 45.
  4. 4.Find the LCM of 15, 3 and 2.
  5. 5.The HCF of two numbers is 8 and their LCM is 288. One of the numbers is 32. What is the other number?
  6. 6.Find the HCF of 27 and 63.
  7. 7.Find the LCM of 18 and 30.
  8. 8.Find the HCF of 24 and 84.
  9. 9.Find the HCF of 20 and 45.
  10. 10.Find the HCF of 48 and 84.
  11. 11.Find the LCM of 12 and 18.
  12. 12.Find the LCM of 9 and 2.
  13. 13.Find the LCM of 28 and 32.
  14. 14.Find the LCM of 2, 3 and 10.
  15. 15.Find the HCF of 21 and 18.
  16. 16.Find the LCM of 4, 8 and 13.
  17. 17.Find the LCM of 8, 15 and 6.
  18. 18.Find the LCM of 20 and 45.
  19. 19.The HCF of two numbers is 9 and their LCM is 324. One of the numbers is 81. What is the other number?
  20. 20.Find the LCM of 35 and 25.
  21. 21.Find the HCF of 36 and 27.
  22. 22.Find the LCM of 12 and 42.
  23. 23.The HCF of two numbers is 2 and their LCM is 60. One of the numbers is 12. What is the other number?
  24. 24.Find the LCM of 10 and 25.
  25. 25.Find the LCM of 15 and 18.
  26. 26.Find the LCM of 12, 8 and 14.
  27. 27.Find the LCM of 10, 2 and 4.
  28. 28.Find the LCM of 15, 4 and 12.
  29. 29.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 15. What is the other number?
  30. 30.Find the HCF of 22 and 77.
  31. 31.Find the LCM of 18 and 4.
  32. 32.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 20. What is the other number?
  33. 33.Find the HCF of 6 and 8.
  34. 34.Find the LCM of 24 and 20.
  35. 35.Find the LCM of 4, 6 and 15.
  36. 36.Find the HCF of 75 and 135.
  37. 37.Find the HCF of 52 and 39.
  38. 38.Find the HCF of 108 and 96.
  39. 39.Find the HCF of 44 and 77.
  40. 40.Find the HCF of 18 and 8.

Answer key

  1. 90
  2. 4
  3. 225
  4. 30
  5. 72
  6. 9
  7. 90
  8. 12
  9. 5
  10. 12
  11. 36
  12. 18
  13. 224
  14. 30
  15. 3
  16. 104
  17. 120
  18. 180
  19. 36
  20. 175
  21. 9
  22. 84
  23. 10
  24. 50
  25. 90
  26. 168
  27. 20
  28. 60
  29. 12
  30. 11
  31. 36
  32. 8
  33. 2
  34. 120
  35. 60
  36. 15
  37. 13
  38. 12
  39. 11
  40. 2

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