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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 841 · 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 30 and 42.
  2. 2.Find the LCM of 25 and 10.
  3. 3.Find the HCF of 36 and 8.
  4. 4.Find the LCM of 4 and 18.
  5. 5.Find the HCF of 35 and 40.
  6. 6.Find the HCF of 20 and 70.
  7. 7.Find the HCF of 25 and 15.
  8. 8.Find the LCM of 18 and 15.
  9. 9.The HCF of two numbers is 3 and their LCM is 189. One of the numbers is 21. What is the other number?
  10. 10.Find the LCM of 16 and 6.
  11. 11.Find the LCM of 12 and 42.
  12. 12.Find the LCM of 2 and 3.
  13. 13.Find the LCM of 18 and 24.
  14. 14.Find the HCF of 91 and 78.
  15. 15.Find the LCM of 2, 4 and 3.
  16. 16.Find the LCM of 4 and 9.
  17. 17.Find the LCM of 9, 11 and 6.
  18. 18.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 6. What is the other number?
  19. 19.Find the LCM of 3, 10 and 5.
  20. 20.Find the LCM of 7 and 2.
  21. 21.Find the LCM of 13, 2 and 5.
  22. 22.Find the LCM of 12, 2 and 4.
  23. 23.Find the LCM of 9 and 5.
  24. 24.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 28. What is the other number?
  25. 25.Find the LCM of 11, 9 and 6.
  26. 26.Find the LCM of 7 and 8.
  27. 27.Find the LCM of 11, 4 and 6.
  28. 28.Find the HCF of 9 and 15.
  29. 29.Find the HCF of 70 and 60.
  30. 30.Find the LCM of 54 and 30.
  31. 31.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 16. What is the other number?
  32. 32.Find the LCM of 3 and 2.
  33. 33.Find the HCF of 39 and 91.
  34. 34.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 15. What is the other number?
  35. 35.Find the HCF of 30 and 50.
  36. 36.Find the LCM of 3, 4 and 7.
  37. 37.Find the LCM of 18 and 8.
  38. 38.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 48. What is the other number?
  39. 39.Find the HCF of 28 and 12.
  40. 40.Find the LCM of 8 and 14.

Answer key

  1. 6
  2. 50
  3. 4
  4. 36
  5. 5
  6. 10
  7. 5
  8. 90
  9. 27
  10. 48
  11. 84
  12. 6
  13. 72
  14. 13
  15. 12
  16. 36
  17. 198
  18. 27
  19. 30
  20. 14
  21. 130
  22. 12
  23. 45
  24. 35
  25. 198
  26. 56
  27. 132
  28. 3
  29. 10
  30. 270
  31. 10
  32. 6
  33. 13
  34. 6
  35. 10
  36. 84
  37. 72
  38. 18
  39. 4
  40. 56

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