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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 623 · 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 36 and 60.
  2. 2.Find the HCF of 24 and 108.
  3. 3.Find the LCM of 18 and 21.
  4. 4.The HCF of two numbers is 7 and their LCM is 245. One of the numbers is 49. What is the other number?
  5. 5.Find the HCF of 39 and 91.
  6. 6.Find the HCF of 45 and 27.
  7. 7.Find the LCM of 2, 12 and 10.
  8. 8.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 40. What is the other number?
  9. 9.Find the LCM of 12, 4 and 2.
  10. 10.Find the LCM of 6, 8 and 12.
  11. 11.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 16. What is the other number?
  12. 12.Find the LCM of 3, 4 and 12.
  13. 13.Find the LCM of 15 and 6.
  14. 14.Find the HCF of 108 and 96.
  15. 15.Find the HCF of 9 and 6.
  16. 16.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 28. What is the other number?
  17. 17.Find the LCM of 10, 12 and 6.
  18. 18.Find the LCM of 14, 7 and 9.
  19. 19.Find the LCM of 42 and 24.
  20. 20.Find the HCF of 98 and 84.
  21. 21.Find the HCF of 44 and 55.
  22. 22.Find the HCF of 104 and 91.
  23. 23.Find the HCF of 36 and 48.
  24. 24.Find the LCM of 10 and 45.
  25. 25.Find the LCM of 4 and 6.
  26. 26.Find the HCF of 70 and 112.
  27. 27.Find the HCF of 10 and 18.
  28. 28.Find the LCM of 12 and 30.
  29. 29.Find the HCF of 56 and 32.
  30. 30.Find the HCF of 72 and 45.
  31. 31.The HCF of two numbers is 4 and their LCM is 252. One of the numbers is 28. What is the other number?
  32. 32.Find the LCM of 18 and 8.
  33. 33.Find the LCM of 7, 6 and 8.
  34. 34.Find the HCF of 36 and 84.
  35. 35.Find the LCM of 21 and 12.
  36. 36.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 24. What is the other number?
  37. 37.Find the LCM of 20 and 32.
  38. 38.Find the LCM of 6, 5 and 12.
  39. 39.Find the HCF of 24 and 18.
  40. 40.Find the HCF of 8 and 36.

Answer key

  1. 12
  2. 12
  3. 126
  4. 35
  5. 13
  6. 9
  7. 60
  8. 24
  9. 12
  10. 24
  11. 18
  12. 12
  13. 30
  14. 12
  15. 3
  16. 32
  17. 60
  18. 126
  19. 168
  20. 14
  21. 11
  22. 13
  23. 12
  24. 90
  25. 12
  26. 14
  27. 2
  28. 60
  29. 8
  30. 9
  31. 36
  32. 72
  33. 168
  34. 12
  35. 84
  36. 27
  37. 160
  38. 60
  39. 6
  40. 4

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