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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 958 · 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 55 and 99.
  2. 2.Find the LCM of 4, 15 and 3.
  3. 3.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 25. What is the other number?
  4. 4.Find the HCF of 24 and 28.
  5. 5.Find the LCM of 11, 4 and 6.
  6. 6.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 40. What is the other number?
  7. 7.Find the LCM of 14, 6 and 4.
  8. 8.Find the LCM of 9, 4 and 12.
  9. 9.Find the HCF of 24 and 84.
  10. 10.Find the HCF of 50 and 80.
  11. 11.Find the HCF of 42 and 18.
  12. 12.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 45. What is the other number?
  13. 13.Find the LCM of 6, 8 and 2.
  14. 14.Find the HCF of 45 and 40.
  15. 15.Find the HCF of 45 and 63.
  16. 16.Find the LCM of 5, 3 and 8.
  17. 17.Find the HCF of 15 and 20.
  18. 18.Find the LCM of 10, 15 and 8.
  19. 19.Find the LCM of 16 and 6.
  20. 20.Find the HCF of 60 and 48.
  21. 21.Find the LCM of 15 and 9.
  22. 22.Find the LCM of 5 and 3.
  23. 23.Find the HCF of 30 and 18.
  24. 24.Find the HCF of 27 and 15.
  25. 25.Find the HCF of 9 and 6.
  26. 26.Find the LCM of 24 and 27.
  27. 27.Find the HCF of 35 and 20.
  28. 28.Find the HCF of 77 and 22.
  29. 29.Find the LCM of 32 and 28.
  30. 30.Find the LCM of 36 and 28.
  31. 31.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 10. What is the other number?
  32. 32.Find the LCM of 3, 10 and 9.
  33. 33.Find the LCM of 2, 5 and 6.
  34. 34.Find the HCF of 91 and 52.
  35. 35.The HCF of two numbers is 9 and their LCM is 135. One of the numbers is 27. What is the other number?
  36. 36.Find the LCM of 8 and 10.
  37. 37.Find the LCM of 18 and 4.
  38. 38.Find the LCM of 3, 4 and 14.
  39. 39.Find the LCM of 3, 6 and 11.
  40. 40.Find the LCM of 8 and 9.

Answer key

  1. 11
  2. 60
  3. 10
  4. 4
  5. 132
  6. 15
  7. 84
  8. 36
  9. 12
  10. 10
  11. 6
  12. 10
  13. 24
  14. 5
  15. 9
  16. 120
  17. 5
  18. 120
  19. 48
  20. 12
  21. 45
  22. 15
  23. 6
  24. 3
  25. 3
  26. 216
  27. 5
  28. 11
  29. 224
  30. 252
  31. 4
  32. 90
  33. 30
  34. 13
  35. 45
  36. 40
  37. 36
  38. 84
  39. 66
  40. 72

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