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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 634 · 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 LCM of 3, 11 and 2.
  2. 2.Find the HCF of 32 and 36.
  3. 3.Find the HCF of 12 and 27.
  4. 4.Find the LCM of 12 and 32.
  5. 5.Find the HCF of 8 and 36.
  6. 6.Find the LCM of 9, 12 and 10.
  7. 7.Find the HCF of 28 and 98.
  8. 8.The HCF of two numbers is 9 and their LCM is 324. One of the numbers is 81. What is the other number?
  9. 9.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 18. What is the other number?
  10. 10.Find the HCF of 40 and 25.
  11. 11.Find the HCF of 24 and 60.
  12. 12.Find the LCM of 8 and 5.
  13. 13.Find the HCF of 81 and 63.
  14. 14.Find the LCM of 12, 6 and 5.
  15. 15.Find the HCF of 49 and 28.
  16. 16.Find the HCF of 72 and 60.
  17. 17.Find the LCM of 3, 11 and 12.
  18. 18.Find the LCM of 27 and 24.
  19. 19.The HCF of two numbers is 7 and their LCM is 245. One of the numbers is 35. What is the other number?
  20. 20.Find the LCM of 8 and 3.
  21. 21.Find the LCM of 2, 12 and 6.
  22. 22.Find the HCF of 14 and 35.
  23. 23.Find the HCF of 64 and 24.
  24. 24.The HCF of two numbers is 6 and their LCM is 336. One of the numbers is 42. What is the other number?
  25. 25.Find the HCF of 14 and 63.
  26. 26.Find the HCF of 135 and 105.
  27. 27.Find the HCF of 25 and 15.
  28. 28.Find the HCF of 20 and 28.
  29. 29.Find the HCF of 135 and 30.
  30. 30.Find the LCM of 10 and 4.
  31. 31.The HCF of two numbers is 7 and their LCM is 196. One of the numbers is 49. What is the other number?
  32. 32.Find the HCF of 48 and 84.
  33. 33.Find the LCM of 28 and 16.
  34. 34.Find the LCM of 16 and 18.
  35. 35.Find the HCF of 135 and 120.
  36. 36.Find the HCF of 88 and 33.
  37. 37.Find the HCF of 27 and 36.
  38. 38.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 24. What is the other number?
  39. 39.Find the HCF of 84 and 24.
  40. 40.Find the HCF of 42 and 18.

Answer key

  1. 66
  2. 4
  3. 3
  4. 96
  5. 4
  6. 180
  7. 14
  8. 36
  9. 63
  10. 5
  11. 12
  12. 40
  13. 9
  14. 60
  15. 7
  16. 12
  17. 132
  18. 216
  19. 49
  20. 24
  21. 12
  22. 7
  23. 8
  24. 48
  25. 7
  26. 15
  27. 5
  28. 4
  29. 15
  30. 20
  31. 28
  32. 12
  33. 112
  34. 144
  35. 15
  36. 11
  37. 9
  38. 32
  39. 12
  40. 6

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