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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 789 · 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 64 and 72.
  2. 2.Find the LCM of 42 and 36.
  3. 3.Find the LCM of 11, 4 and 12.
  4. 4.Find the LCM of 25 and 20.
  5. 5.Find the LCM of 10 and 25.
  6. 6.Find the HCF of 20 and 28.
  7. 7.Find the LCM of 48 and 18.
  8. 8.Find the LCM of 4, 14 and 2.
  9. 9.Find the LCM of 5, 2 and 9.
  10. 10.Find the LCM of 18 and 30.
  11. 11.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 27. What is the other number?
  12. 12.Find the LCM of 35 and 45.
  13. 13.Find the HCF of 88 and 99.
  14. 14.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 27. What is the other number?
  15. 15.Find the HCF of 117 and 104.
  16. 16.Find the HCF of 27 and 24.
  17. 17.Find the HCF of 49 and 35.
  18. 18.Find the HCF of 25 and 10.
  19. 19.Find the HCF of 50 and 60.
  20. 20.Find the HCF of 48 and 40.
  21. 21.The HCF of two numbers is 7 and their LCM is 147. One of the numbers is 49. What is the other number?
  22. 22.Find the HCF of 12 and 9.
  23. 23.Find the HCF of 30 and 12.
  24. 24.Find the HCF of 45 and 40.
  25. 25.Find the HCF of 70 and 98.
  26. 26.Find the LCM of 15 and 25.
  27. 27.Find the LCM of 36 and 20.
  28. 28.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 8. What is the other number?
  29. 29.Find the LCM of 12 and 21.
  30. 30.Find the HCF of 18 and 12.
  31. 31.Find the HCF of 60 and 84.
  32. 32.Find the LCM of 40 and 25.
  33. 33.Find the HCF of 20 and 90.
  34. 34.Find the LCM of 9 and 21.
  35. 35.Find the LCM of 9, 12 and 6.
  36. 36.The HCF of two numbers is 7 and their LCM is 105. One of the numbers is 35. What is the other number?
  37. 37.Find the LCM of 9, 12 and 2.
  38. 38.Find the LCM of 8, 12 and 2.
  39. 39.Find the LCM of 3, 2 and 8.
  40. 40.Find the LCM of 20 and 12.

Answer key

  1. 8
  2. 252
  3. 132
  4. 100
  5. 50
  6. 4
  7. 144
  8. 28
  9. 90
  10. 90
  11. 12
  12. 315
  13. 11
  14. 36
  15. 13
  16. 3
  17. 7
  18. 5
  19. 10
  20. 8
  21. 21
  22. 3
  23. 6
  24. 5
  25. 14
  26. 75
  27. 180
  28. 28
  29. 84
  30. 6
  31. 12
  32. 200
  33. 10
  34. 63
  35. 36
  36. 21
  37. 36
  38. 24
  39. 24
  40. 60

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