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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 838 · 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 42 and 12.
  2. 2.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 14. What is the other number?
  3. 3.Find the LCM of 4, 5 and 3.
  4. 4.Find the HCF of 40 and 30.
  5. 5.Find the LCM of 14, 10 and 3.
  6. 6.Find the HCF of 28 and 49.
  7. 7.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 27. What is the other number?
  8. 8.Find the HCF of 18 and 24.
  9. 9.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 27. What is the other number?
  10. 10.Find the LCM of 18 and 48.
  11. 11.Find the HCF of 81 and 36.
  12. 12.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 21. What is the other number?
  13. 13.Find the LCM of 6, 7 and 14.
  14. 14.Find the HCF of 30 and 105.
  15. 15.Find the LCM of 8 and 5.
  16. 16.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 20. What is the other number?
  17. 17.Find the LCM of 20 and 36.
  18. 18.Find the LCM of 42 and 36.
  19. 19.Find the HCF of 8 and 18.
  20. 20.Find the LCM of 5, 14 and 7.
  21. 21.Find the HCF of 70 and 30.
  22. 22.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 12. What is the other number?
  23. 23.Find the LCM of 4, 11 and 2.
  24. 24.Find the LCM of 8 and 7.
  25. 25.Find the HCF of 8 and 6.
  26. 26.Find the LCM of 45 and 25.
  27. 27.Find the LCM of 36 and 28.
  28. 28.Find the HCF of 18 and 45.
  29. 29.Find the HCF of 32 and 12.
  30. 30.Find the HCF of 45 and 35.
  31. 31.Find the LCM of 8, 3 and 4.
  32. 32.Find the LCM of 15 and 40.
  33. 33.Find the HCF of 56 and 24.
  34. 34.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 8. What is the other number?
  35. 35.Find the LCM of 14, 11 and 2.
  36. 36.Find the LCM of 20 and 45.
  37. 37.Find the LCM of 9 and 12.
  38. 38.Find the LCM of 27 and 6.
  39. 39.Find the HCF of 60 and 36.
  40. 40.Find the LCM of 12 and 10.

Answer key

  1. 6
  2. 49
  3. 60
  4. 10
  5. 210
  6. 7
  7. 18
  8. 6
  9. 36
  10. 144
  11. 9
  12. 14
  13. 42
  14. 15
  15. 40
  16. 8
  17. 180
  18. 252
  19. 2
  20. 70
  21. 10
  22. 9
  23. 44
  24. 56
  25. 2
  26. 225
  27. 252
  28. 9
  29. 4
  30. 5
  31. 24
  32. 120
  33. 8
  34. 6
  35. 154
  36. 180
  37. 36
  38. 54
  39. 12
  40. 60

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