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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 721 · 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 12 and 32.
  2. 2.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 12. What is the other number?
  3. 3.Find the HCF of 9 and 12.
  4. 4.Find the HCF of 30 and 48.
  5. 5.Find the LCM of 6, 12 and 7.
  6. 6.Find the HCF of 10 and 14.
  7. 7.Find the HCF of 12 and 42.
  8. 8.Find the LCM of 2, 6 and 9.
  9. 9.The HCF of two numbers is 5 and their LCM is 200. One of the numbers is 40. What is the other number?
  10. 10.Find the LCM of 20 and 25.
  11. 11.Find the LCM of 40 and 15.
  12. 12.Find the HCF of 24 and 84.
  13. 13.Find the LCM of 6, 10 and 12.
  14. 14.The HCF of two numbers is 9 and their LCM is 648. One of the numbers is 81. What is the other number?
  15. 15.Find the LCM of 11, 12 and 4.
  16. 16.Find the LCM of 5, 15 and 11.
  17. 17.Find the HCF of 90 and 75.
  18. 18.Find the HCF of 16 and 24.
  19. 19.Find the HCF of 18 and 21.
  20. 20.Find the HCF of 4 and 6.
  21. 21.Find the LCM of 6 and 9.
  22. 22.Find the HCF of 88 and 55.
  23. 23.Find the LCM of 6, 12 and 8.
  24. 24.Find the LCM of 4, 3 and 8.
  25. 25.Find the LCM of 18 and 48.
  26. 26.Find the LCM of 4, 3 and 10.
  27. 27.Find the LCM of 2 and 9.
  28. 28.Find the LCM of 9, 2 and 13.
  29. 29.Find the LCM of 13, 15 and 3.
  30. 30.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 81. What is the other number?
  31. 31.Find the HCF of 45 and 105.
  32. 32.Find the HCF of 26 and 65.
  33. 33.Find the LCM of 2, 8 and 4.
  34. 34.Find the LCM of 18 and 14.
  35. 35.The HCF of two numbers is 8 and their LCM is 288. One of the numbers is 32. What is the other number?
  36. 36.Find the LCM of 6, 2 and 13.
  37. 37.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 35. What is the other number?
  38. 38.Find the HCF of 8 and 12.
  39. 39.Find the HCF of 24 and 21.
  40. 40.Find the HCF of 27 and 6.

Answer key

  1. 96
  2. 21
  3. 3
  4. 6
  5. 84
  6. 2
  7. 6
  8. 18
  9. 25
  10. 100
  11. 120
  12. 12
  13. 60
  14. 72
  15. 132
  16. 165
  17. 15
  18. 8
  19. 3
  20. 2
  21. 18
  22. 11
  23. 24
  24. 24
  25. 144
  26. 60
  27. 18
  28. 234
  29. 195
  30. 63
  31. 15
  32. 13
  33. 8
  34. 126
  35. 72
  36. 78
  37. 28
  38. 4
  39. 3
  40. 3

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