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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 921 · 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 20 and 90.
  2. 2.Find the HCF of 50 and 80.
  3. 3.Find the HCF of 70 and 40.
  4. 4.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 35. What is the other number?
  5. 5.Find the LCM of 5, 3 and 12.
  6. 6.Find the LCM of 6, 2 and 4.
  7. 7.Find the LCM of 15 and 20.
  8. 8.Find the HCF of 16 and 10.
  9. 9.Find the LCM of 25 and 10.
  10. 10.Find the HCF of 15 and 18.
  11. 11.Find the HCF of 105 and 30.
  12. 12.Find the LCM of 3, 14 and 4.
  13. 13.Find the HCF of 24 and 54.
  14. 14.Find the LCM of 9 and 21.
  15. 15.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 18. What is the other number?
  16. 16.Find the LCM of 4, 3 and 8.
  17. 17.Find the LCM of 12 and 54.
  18. 18.Find the LCM of 25 and 30.
  19. 19.Find the LCM of 14, 5 and 15.
  20. 20.Find the LCM of 24 and 15.
  21. 21.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 9. What is the other number?
  22. 22.Find the HCF of 60 and 24.
  23. 23.Find the LCM of 5, 2 and 13.
  24. 24.Find the HCF of 8 and 12.
  25. 25.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 14. What is the other number?
  26. 26.Find the LCM of 3 and 7.
  27. 27.Find the HCF of 10 and 18.
  28. 28.Find the HCF of 40 and 30.
  29. 29.Find the LCM of 4 and 9.
  30. 30.Find the LCM of 28 and 16.
  31. 31.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 24. What is the other number?
  32. 32.Find the HCF of 49 and 28.
  33. 33.Find the LCM of 12, 9 and 10.
  34. 34.Find the LCM of 9, 5 and 3.
  35. 35.Find the LCM of 9, 8 and 6.
  36. 36.Find the LCM of 12, 2 and 7.
  37. 37.Find the LCM of 7, 3 and 12.
  38. 38.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 15. What is the other number?
  39. 39.Find the LCM of 3, 8 and 5.
  40. 40.Find the HCF of 12 and 10.

Answer key

  1. 10
  2. 10
  3. 10
  4. 10
  5. 60
  6. 12
  7. 60
  8. 2
  9. 50
  10. 3
  11. 15
  12. 84
  13. 6
  14. 63
  15. 12
  16. 24
  17. 108
  18. 150
  19. 210
  20. 120
  21. 12
  22. 12
  23. 130
  24. 4
  25. 6
  26. 21
  27. 2
  28. 10
  29. 36
  30. 112
  31. 16
  32. 7
  33. 180
  34. 45
  35. 72
  36. 84
  37. 84
  38. 20
  39. 120
  40. 2

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