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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 860 · 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 LCM of 18 and 12.
  2. 2.Find the LCM of 9 and 5.
  3. 3.Find the HCF of 18 and 8.
  4. 4.Find the LCM of 30 and 35.
  5. 5.Find the LCM of 9 and 6.
  6. 6.Find the HCF of 20 and 50.
  7. 7.The HCF of two numbers is 8 and their LCM is 448. One of the numbers is 56. What is the other number?
  8. 8.Find the HCF of 10 and 8.
  9. 9.Find the LCM of 6, 9 and 4.
  10. 10.Find the LCM of 25 and 45.
  11. 11.Find the LCM of 4, 7 and 12.
  12. 12.Find the LCM of 7, 6 and 4.
  13. 13.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 18. What is the other number?
  14. 14.Find the LCM of 7 and 9.
  15. 15.Find the HCF of 55 and 22.
  16. 16.Find the HCF of 63 and 54.
  17. 17.Find the HCF of 54 and 42.
  18. 18.Find the LCM of 30 and 48.
  19. 19.Find the LCM of 10, 2 and 11.
  20. 20.Find the HCF of 25 and 30.
  21. 21.Find the HCF of 9 and 21.
  22. 22.Find the LCM of 28 and 12.
  23. 23.Find the HCF of 90 and 50.
  24. 24.The HCF of two numbers is 5 and their LCM is 140. One of the numbers is 20. What is the other number?
  25. 25.Find the LCM of 10 and 16.
  26. 26.Find the LCM of 40 and 45.
  27. 27.Find the LCM of 5, 6 and 8.
  28. 28.Find the LCM of 12, 10 and 8.
  29. 29.The HCF of two numbers is 6 and their LCM is 108. One of the numbers is 54. What is the other number?
  30. 30.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 8. What is the other number?
  31. 31.Find the LCM of 14, 12 and 8.
  32. 32.Find the LCM of 5, 14 and 3.
  33. 33.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 12. What is the other number?
  34. 34.Find the HCF of 55 and 44.
  35. 35.Find the HCF of 18 and 15.
  36. 36.Find the HCF of 80 and 50.
  37. 37.Find the LCM of 2, 3 and 9.
  38. 38.Find the HCF of 9 and 6.
  39. 39.Find the HCF of 15 and 6.
  40. 40.Find the HCF of 60 and 108.

Answer key

  1. 36
  2. 45
  3. 2
  4. 210
  5. 18
  6. 10
  7. 64
  8. 2
  9. 36
  10. 225
  11. 84
  12. 84
  13. 12
  14. 63
  15. 11
  16. 9
  17. 6
  18. 240
  19. 110
  20. 5
  21. 3
  22. 84
  23. 10
  24. 35
  25. 80
  26. 360
  27. 120
  28. 120
  29. 12
  30. 20
  31. 168
  32. 210
  33. 27
  34. 11
  35. 3
  36. 10
  37. 18
  38. 3
  39. 3
  40. 12

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