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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 433 · 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 63 and 81.
  2. 2.Find the LCM of 12, 14 and 2.
  3. 3.Find the LCM of 40 and 25.
  4. 4.Find the HCF of 35 and 56.
  5. 5.Find the LCM of 9 and 7.
  6. 6.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 49. What is the other number?
  7. 7.Find the HCF of 70 and 40.
  8. 8.Find the LCM of 4, 15 and 10.
  9. 9.Find the HCF of 20 and 32.
  10. 10.Find the HCF of 8 and 12.
  11. 11.Find the LCM of 5, 12 and 15.
  12. 12.Find the HCF of 56 and 21.
  13. 13.Find the HCF of 56 and 16.
  14. 14.Find the LCM of 5 and 8.
  15. 15.Find the LCM of 6, 4 and 2.
  16. 16.Find the LCM of 6 and 5.
  17. 17.Find the LCM of 6, 12 and 5.
  18. 18.Find the LCM of 5, 3 and 8.
  19. 19.Find the LCM of 8, 15 and 2.
  20. 20.The HCF of two numbers is 9 and their LCM is 648. One of the numbers is 81. What is the other number?
  21. 21.Find the LCM of 6 and 8.
  22. 22.Find the HCF of 70 and 112.
  23. 23.Find the HCF of 104 and 65.
  24. 24.Find the LCM of 20 and 8.
  25. 25.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 48. What is the other number?
  26. 26.Find the HCF of 27 and 15.
  27. 27.Find the HCF of 99 and 55.
  28. 28.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 32. What is the other number?
  29. 29.Find the HCF of 56 and 24.
  30. 30.Find the LCM of 14, 15 and 6.
  31. 31.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 36. What is the other number?
  32. 32.The HCF of two numbers is 6 and their LCM is 108. One of the numbers is 54. What is the other number?
  33. 33.Find the LCM of 13, 7 and 14.
  34. 34.Find the LCM of 2, 4 and 15.
  35. 35.The HCF of two numbers is 6 and their LCM is 108. One of the numbers is 12. What is the other number?
  36. 36.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 18. What is the other number?
  37. 37.Find the LCM of 14 and 16.
  38. 38.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 6. What is the other number?
  39. 39.Find the LCM of 7, 3 and 15.
  40. 40.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 49. What is the other number?

Answer key

  1. 9
  2. 84
  3. 200
  4. 7
  5. 63
  6. 63
  7. 10
  8. 60
  9. 4
  10. 4
  11. 60
  12. 7
  13. 8
  14. 40
  15. 12
  16. 30
  17. 60
  18. 120
  19. 120
  20. 72
  21. 24
  22. 14
  23. 13
  24. 40
  25. 56
  26. 3
  27. 11
  28. 24
  29. 8
  30. 210
  31. 27
  32. 12
  33. 182
  34. 60
  35. 54
  36. 16
  37. 112
  38. 27
  39. 105
  40. 14

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