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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 882 · 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.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 9. What is the other number?
  2. 2.Find the LCM of 20 and 8.
  3. 3.Find the HCF of 48 and 56.
  4. 4.Find the LCM of 7 and 2.
  5. 5.Find the HCF of 117 and 104.
  6. 6.Find the LCM of 3 and 7.
  7. 7.Find the LCM of 14, 12 and 4.
  8. 8.Find the HCF of 9 and 15.
  9. 9.Find the LCM of 9, 10 and 4.
  10. 10.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 16. What is the other number?
  11. 11.Find the HCF of 56 and 21.
  12. 12.Find the LCM of 5, 15 and 4.
  13. 13.Find the LCM of 9 and 21.
  14. 14.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 12. What is the other number?
  15. 15.Find the HCF of 24 and 40.
  16. 16.Find the LCM of 5, 12 and 8.
  17. 17.Find the LCM of 12 and 30.
  18. 18.Find the LCM of 42 and 48.
  19. 19.Find the LCM of 9, 6 and 15.
  20. 20.Find the LCM of 28 and 36.
  21. 21.Find the LCM of 2, 14 and 11.
  22. 22.Find the LCM of 8 and 36.
  23. 23.Find the HCF of 21 and 9.
  24. 24.Find the LCM of 27 and 12.
  25. 25.Find the LCM of 15, 2 and 8.
  26. 26.Find the LCM of 9, 2 and 14.
  27. 27.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 6. What is the other number?
  28. 28.Find the HCF of 24 and 64.
  29. 29.Find the HCF of 18 and 81.
  30. 30.Find the LCM of 8, 2 and 3.
  31. 31.Find the LCM of 14 and 10.
  32. 32.Find the HCF of 98 and 84.
  33. 33.Find the HCF of 6 and 8.
  34. 34.Find the HCF of 104 and 117.
  35. 35.The HCF of two numbers is 5 and their LCM is 175. One of the numbers is 25. What is the other number?
  36. 36.Find the HCF of 24 and 9.
  37. 37.Find the LCM of 14, 6 and 7.
  38. 38.Find the LCM of 45 and 20.
  39. 39.The HCF of two numbers is 8 and their LCM is 112. One of the numbers is 56. What is the other number?
  40. 40.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 6. What is the other number?

Answer key

  1. 24
  2. 40
  3. 8
  4. 14
  5. 13
  6. 21
  7. 84
  8. 3
  9. 180
  10. 40
  11. 7
  12. 60
  13. 63
  14. 28
  15. 8
  16. 120
  17. 60
  18. 336
  19. 90
  20. 252
  21. 154
  22. 72
  23. 3
  24. 108
  25. 120
  26. 126
  27. 21
  28. 8
  29. 9
  30. 24
  31. 70
  32. 14
  33. 2
  34. 13
  35. 35
  36. 3
  37. 42
  38. 180
  39. 16
  40. 16

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