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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 806 · 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 6 and 21.
  2. 2.Find the LCM of 4, 3 and 2.
  3. 3.Find the LCM of 3, 15 and 7.
  4. 4.Find the LCM of 24 and 9.
  5. 5.Find the HCF of 27 and 45.
  6. 6.Find the LCM of 9 and 21.
  7. 7.Find the HCF of 60 and 24.
  8. 8.Find the HCF of 90 and 80.
  9. 9.Find the HCF of 60 and 45.
  10. 10.Find the LCM of 12 and 15.
  11. 11.Find the LCM of 3 and 5.
  12. 12.Find the HCF of 6 and 14.
  13. 13.Find the LCM of 3, 6 and 12.
  14. 14.Find the HCF of 81 and 45.
  15. 15.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 16. What is the other number?
  16. 16.Find the LCM of 7 and 4.
  17. 17.Find the LCM of 4, 13 and 12.
  18. 18.Find the LCM of 24 and 54.
  19. 19.Find the HCF of 24 and 60.
  20. 20.Find the LCM of 40 and 25.
  21. 21.Find the HCF of 40 and 35.
  22. 22.Find the HCF of 39 and 52.
  23. 23.Find the HCF of 24 and 84.
  24. 24.Find the LCM of 7, 11 and 2.
  25. 25.Find the HCF of 72 and 27.
  26. 26.Find the HCF of 75 and 45.
  27. 27.Find the HCF of 45 and 81.
  28. 28.Find the LCM of 40 and 15.
  29. 29.Find the LCM of 2, 10 and 15.
  30. 30.The HCF of two numbers is 5 and their LCM is 180. One of the numbers is 20. What is the other number?
  31. 31.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 18. What is the other number?
  32. 32.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 18. What is the other number?
  33. 33.Find the LCM of 2 and 3.
  34. 34.Find the HCF of 42 and 70.
  35. 35.Find the LCM of 25 and 20.
  36. 36.Find the HCF of 42 and 49.
  37. 37.Find the LCM of 6, 11 and 9.
  38. 38.Find the HCF of 50 and 20.
  39. 39.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 15. What is the other number?
  40. 40.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 16. What is the other number?

Answer key

  1. 3
  2. 12
  3. 105
  4. 72
  5. 9
  6. 63
  7. 12
  8. 10
  9. 15
  10. 60
  11. 15
  12. 2
  13. 12
  14. 9
  15. 40
  16. 28
  17. 156
  18. 216
  19. 12
  20. 200
  21. 5
  22. 13
  23. 12
  24. 154
  25. 9
  26. 15
  27. 9
  28. 120
  29. 30
  30. 45
  31. 30
  32. 63
  33. 6
  34. 14
  35. 100
  36. 7
  37. 198
  38. 10
  39. 35
  40. 6

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