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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 181 · 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 117 and 104.
  2. 2.The HCF of two numbers is 8 and their LCM is 280. One of the numbers is 40. What is the other number?
  3. 3.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 49. What is the other number?
  4. 4.Find the LCM of 5 and 9.
  5. 5.Find the HCF of 28 and 8.
  6. 6.Find the HCF of 126 and 70.
  7. 7.Find the HCF of 10 and 12.
  8. 8.Find the LCM of 3, 2 and 8.
  9. 9.Find the LCM of 15 and 10.
  10. 10.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 10. What is the other number?
  11. 11.Find the LCM of 5 and 8.
  12. 12.Find the LCM of 36 and 32.
  13. 13.Find the LCM of 8 and 6.
  14. 14.Find the HCF of 10 and 4.
  15. 15.The HCF of two numbers is 9 and their LCM is 324. One of the numbers is 36. What is the other number?
  16. 16.Find the LCM of 15, 10 and 2.
  17. 17.Find the LCM of 7, 6 and 10.
  18. 18.Find the LCM of 6 and 21.
  19. 19.The HCF of two numbers is 2 and their LCM is 40. One of the numbers is 10. What is the other number?
  20. 20.Find the LCM of 3 and 4.
  21. 21.The HCF of two numbers is 3 and their LCM is 189. One of the numbers is 21. What is the other number?
  22. 22.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 14. What is the other number?
  23. 23.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 8. What is the other number?
  24. 24.Find the LCM of 8, 12 and 15.
  25. 25.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 10. What is the other number?
  26. 26.Find the HCF of 27 and 15.
  27. 27.Find the LCM of 25 and 45.
  28. 28.Find the LCM of 7 and 3.
  29. 29.Find the LCM of 6, 4 and 3.
  30. 30.Find the HCF of 26 and 65.
  31. 31.Find the LCM of 6 and 16.
  32. 32.Find the LCM of 18 and 16.
  33. 33.Find the LCM of 2 and 7.
  34. 34.Find the LCM of 10, 6 and 14.
  35. 35.Find the HCF of 18 and 63.
  36. 36.Find the HCF of 24 and 40.
  37. 37.Find the LCM of 5, 11 and 10.
  38. 38.Find the LCM of 9 and 4.
  39. 39.Find the LCM of 12, 8 and 4.
  40. 40.Find the LCM of 15, 5 and 9.

Answer key

  1. 13
  2. 56
  3. 14
  4. 45
  5. 4
  6. 14
  7. 2
  8. 24
  9. 30
  10. 15
  11. 40
  12. 288
  13. 24
  14. 2
  15. 81
  16. 30
  17. 210
  18. 42
  19. 8
  20. 12
  21. 27
  22. 35
  23. 18
  24. 120
  25. 6
  26. 3
  27. 225
  28. 21
  29. 12
  30. 13
  31. 48
  32. 144
  33. 14
  34. 210
  35. 9
  36. 8
  37. 110
  38. 36
  39. 24
  40. 45

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