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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 900 · 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 9 and their LCM is 108. One of the numbers is 27. What is the other number?
  2. 2.Find the LCM of 14 and 8.
  3. 3.The HCF of two numbers is 8 and their LCM is 576. One of the numbers is 64. What is the other number?
  4. 4.Find the LCM of 5, 6 and 2.
  5. 5.Find the HCF of 70 and 84.
  6. 6.Find the HCF of 55 and 44.
  7. 7.Find the LCM of 6, 3 and 15.
  8. 8.Find the HCF of 88 and 99.
  9. 9.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 45. What is the other number?
  10. 10.Find the LCM of 8 and 10.
  11. 11.Find the LCM of 6, 8 and 4.
  12. 12.Find the LCM of 42 and 24.
  13. 13.Find the HCF of 52 and 39.
  14. 14.Find the LCM of 30 and 42.
  15. 15.Find the HCF of 84 and 48.
  16. 16.The HCF of two numbers is 7 and their LCM is 504. One of the numbers is 56. What is the other number?
  17. 17.Find the HCF of 14 and 4.
  18. 18.Find the LCM of 8, 3 and 2.
  19. 19.Find the HCF of 24 and 108.
  20. 20.Find the LCM of 14, 9 and 3.
  21. 21.Find the HCF of 70 and 98.
  22. 22.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 18. What is the other number?
  23. 23.Find the HCF of 16 and 72.
  24. 24.The HCF of two numbers is 8 and their LCM is 360. One of the numbers is 72. What is the other number?
  25. 25.Find the LCM of 18 and 24.
  26. 26.Find the LCM of 15, 6 and 4.
  27. 27.Find the HCF of 105 and 75.
  28. 28.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 63. What is the other number?
  29. 29.Find the LCM of 10 and 6.
  30. 30.Find the HCF of 112 and 98.
  31. 31.Find the LCM of 9, 2 and 5.
  32. 32.Find the LCM of 16 and 28.
  33. 33.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 4. What is the other number?
  34. 34.Find the HCF of 14 and 10.
  35. 35.Find the HCF of 12 and 8.
  36. 36.Find the HCF of 36 and 45.
  37. 37.Find the LCM of 2, 12 and 10.
  38. 38.Find the LCM of 6 and 27.
  39. 39.Find the HCF of 22 and 55.
  40. 40.Find the LCM of 48 and 42.

Answer key

  1. 36
  2. 56
  3. 72
  4. 30
  5. 14
  6. 11
  7. 30
  8. 11
  9. 18
  10. 40
  11. 24
  12. 168
  13. 13
  14. 210
  15. 12
  16. 63
  17. 2
  18. 24
  19. 12
  20. 126
  21. 14
  22. 24
  23. 8
  24. 40
  25. 72
  26. 60
  27. 15
  28. 27
  29. 30
  30. 14
  31. 90
  32. 112
  33. 14
  34. 2
  35. 4
  36. 9
  37. 60
  38. 54
  39. 11
  40. 336

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