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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 154 · 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 24 and 84.
  2. 2.The HCF of two numbers is 5 and their LCM is 140. One of the numbers is 20. What is the other number?
  3. 3.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 21. What is the other number?
  4. 4.Find the LCM of 8, 3 and 9.
  5. 5.Find the HCF of 27 and 6.
  6. 6.Find the HCF of 35 and 40.
  7. 7.Find the LCM of 12 and 32.
  8. 8.Find the HCF of 108 and 96.
  9. 9.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 56. What is the other number?
  10. 10.Find the LCM of 6 and 16.
  11. 11.Find the LCM of 10, 9 and 4.
  12. 12.Find the HCF of 18 and 45.
  13. 13.Find the HCF of 12 and 30.
  14. 14.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 27. What is the other number?
  15. 15.Find the HCF of 117 and 91.
  16. 16.Find the HCF of 45 and 120.
  17. 17.Find the LCM of 9, 10 and 2.
  18. 18.Find the LCM of 10, 11 and 2.
  19. 19.Find the HCF of 6 and 9.
  20. 20.Find the LCM of 10, 7 and 3.
  21. 21.Find the HCF of 48 and 40.
  22. 22.Find the LCM of 10, 12 and 5.
  23. 23.The HCF of two numbers is 8 and their LCM is 504. One of the numbers is 72. What is the other number?
  24. 24.Find the LCM of 6 and 21.
  25. 25.Find the LCM of 5, 7 and 3.
  26. 26.Find the HCF of 8 and 28.
  27. 27.Find the HCF of 45 and 27.
  28. 28.Find the HCF of 56 and 64.
  29. 29.Find the LCM of 9, 3 and 4.
  30. 30.Find the HCF of 12 and 54.
  31. 31.Find the HCF of 8 and 36.
  32. 32.The HCF of two numbers is 5 and their LCM is 140. One of the numbers is 35. What is the other number?
  33. 33.Find the LCM of 24 and 42.
  34. 34.Find the HCF of 10 and 4.
  35. 35.Find the HCF of 33 and 44.
  36. 36.Find the LCM of 2, 6 and 4.
  37. 37.Find the HCF of 10 and 8.
  38. 38.Find the LCM of 30 and 48.
  39. 39.Find the LCM of 8, 3 and 5.
  40. 40.Find the LCM of 18 and 42.

Answer key

  1. 12
  2. 35
  3. 18
  4. 72
  5. 3
  6. 5
  7. 96
  8. 12
  9. 32
  10. 48
  11. 180
  12. 9
  13. 6
  14. 6
  15. 13
  16. 15
  17. 90
  18. 110
  19. 3
  20. 210
  21. 8
  22. 60
  23. 56
  24. 42
  25. 105
  26. 4
  27. 9
  28. 8
  29. 36
  30. 6
  31. 4
  32. 20
  33. 168
  34. 2
  35. 11
  36. 12
  37. 2
  38. 240
  39. 120
  40. 126

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