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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 228 · 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 45 and 25.
  2. 2.Find the HCF of 20 and 15.
  3. 3.The HCF of two numbers is 7 and their LCM is 252. One of the numbers is 63. What is the other number?
  4. 4.Find the LCM of 16 and 10.
  5. 5.Find the LCM of 7, 9 and 3.
  6. 6.Find the LCM of 9 and 5.
  7. 7.Find the HCF of 12 and 9.
  8. 8.Find the HCF of 25 and 15.
  9. 9.Find the HCF of 56 and 98.
  10. 10.Find the LCM of 5, 10 and 12.
  11. 11.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 20. What is the other number?
  12. 12.Find the HCF of 33 and 44.
  13. 13.Find the LCM of 12 and 16.
  14. 14.Find the LCM of 10 and 14.
  15. 15.Find the LCM of 2, 10 and 6.
  16. 16.Find the LCM of 18 and 21.
  17. 17.Find the LCM of 25 and 45.
  18. 18.Find the LCM of 9 and 8.
  19. 19.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 35. What is the other number?
  20. 20.Find the LCM of 6 and 27.
  21. 21.Find the HCF of 55 and 99.
  22. 22.Find the LCM of 5, 15 and 10.
  23. 23.Find the LCM of 8 and 28.
  24. 24.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 81. What is the other number?
  25. 25.Find the LCM of 14 and 12.
  26. 26.Find the LCM of 12 and 54.
  27. 27.Find the HCF of 15 and 9.
  28. 28.Find the HCF of 105 and 135.
  29. 29.Find the LCM of 4, 6 and 5.
  30. 30.Find the HCF of 9 and 12.
  31. 31.Find the HCF of 54 and 30.
  32. 32.Find the LCM of 6, 5 and 2.
  33. 33.Find the LCM of 2, 12 and 5.
  34. 34.The HCF of two numbers is 9 and their LCM is 648. One of the numbers is 72. What is the other number?
  35. 35.Find the HCF of 36 and 42.
  36. 36.Find the LCM of 7 and 6.
  37. 37.Find the HCF of 96 and 84.
  38. 38.Find the HCF of 88 and 99.
  39. 39.Find the LCM of 14 and 6.
  40. 40.Find the LCM of 25 and 10.

Answer key

  1. 5
  2. 5
  3. 28
  4. 80
  5. 63
  6. 45
  7. 3
  8. 5
  9. 14
  10. 60
  11. 8
  12. 11
  13. 48
  14. 70
  15. 30
  16. 126
  17. 225
  18. 72
  19. 28
  20. 54
  21. 11
  22. 30
  23. 56
  24. 63
  25. 84
  26. 108
  27. 3
  28. 15
  29. 60
  30. 3
  31. 6
  32. 30
  33. 60
  34. 81
  35. 6
  36. 42
  37. 12
  38. 11
  39. 42
  40. 50

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