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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 606 · 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 66 and 55.
  2. 2.Find the HCF of 84 and 108.
  3. 3.Find the HCF of 12 and 16.
  4. 4.Find the LCM of 12 and 27.
  5. 5.Find the LCM of 24 and 28.
  6. 6.Find the LCM of 3, 2 and 11.
  7. 7.Find the LCM of 15, 14 and 7.
  8. 8.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 20. What is the other number?
  9. 9.Find the HCF of 77 and 33.
  10. 10.Find the LCM of 16 and 12.
  11. 11.Find the LCM of 15, 3 and 11.
  12. 12.Find the HCF of 22 and 77.
  13. 13.Find the HCF of 35 and 20.
  14. 14.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 18. What is the other number?
  15. 15.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 6. What is the other number?
  16. 16.Find the HCF of 21 and 12.
  17. 17.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 24. What is the other number?
  18. 18.Find the LCM of 2, 13 and 14.
  19. 19.Find the HCF of 45 and 105.
  20. 20.Find the LCM of 11, 6 and 9.
  21. 21.Find the HCF of 72 and 40.
  22. 22.The HCF of two numbers is 7 and their LCM is 294. One of the numbers is 42. What is the other number?
  23. 23.Find the LCM of 14, 13 and 7.
  24. 24.Find the HCF of 99 and 88.
  25. 25.Find the LCM of 28 and 36.
  26. 26.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 24. What is the other number?
  27. 27.Find the HCF of 126 and 98.
  28. 28.Find the HCF of 22 and 99.
  29. 29.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 42. What is the other number?
  30. 30.Find the LCM of 35 and 20.
  31. 31.Find the HCF of 30 and 45.
  32. 32.Find the LCM of 7 and 8.
  33. 33.Find the LCM of 3, 7 and 5.
  34. 34.Find the HCF of 32 and 56.
  35. 35.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 42. What is the other number?
  36. 36.Find the LCM of 8, 14 and 3.
  37. 37.Find the LCM of 10 and 12.
  38. 38.Find the LCM of 8 and 12.
  39. 39.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 56. What is the other number?
  40. 40.Find the LCM of 12 and 18.

Answer key

  1. 11
  2. 12
  3. 4
  4. 108
  5. 168
  6. 66
  7. 210
  8. 28
  9. 11
  10. 48
  11. 165
  12. 11
  13. 5
  14. 42
  15. 16
  16. 3
  17. 32
  18. 182
  19. 15
  20. 198
  21. 8
  22. 49
  23. 182
  24. 11
  25. 252
  26. 27
  27. 14
  28. 11
  29. 24
  30. 140
  31. 15
  32. 56
  33. 105
  34. 8
  35. 18
  36. 168
  37. 60
  38. 24
  39. 35
  40. 36

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