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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 666 · 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 98 and 126.
  2. 2.Find the LCM of 25 and 15.
  3. 3.Find the LCM of 10 and 4.
  4. 4.Find the HCF of 14 and 8.
  5. 5.Find the HCF of 27 and 45.
  6. 6.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 32. What is the other number?
  7. 7.Find the HCF of 30 and 42.
  8. 8.Find the LCM of 4 and 6.
  9. 9.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 32. What is the other number?
  10. 10.Find the LCM of 3, 9 and 15.
  11. 11.Find the HCF of 90 and 50.
  12. 12.Find the LCM of 2, 10 and 4.
  13. 13.The HCF of two numbers is 6 and their LCM is 60. One of the numbers is 30. What is the other number?
  14. 14.The HCF of two numbers is 9 and their LCM is 270. One of the numbers is 54. What is the other number?
  15. 15.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 27. What is the other number?
  16. 16.Find the LCM of 28 and 32.
  17. 17.Find the LCM of 7 and 9.
  18. 18.Find the HCF of 54 and 12.
  19. 19.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 16. What is the other number?
  20. 20.Find the HCF of 45 and 20.
  21. 21.Find the LCM of 8 and 28.
  22. 22.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 72. What is the other number?
  23. 23.Find the LCM of 12 and 27.
  24. 24.Find the HCF of 48 and 54.
  25. 25.Find the HCF of 22 and 99.
  26. 26.Find the HCF of 56 and 48.
  27. 27.Find the HCF of 96 and 60.
  28. 28.Find the LCM of 8 and 12.
  29. 29.Find the LCM of 2, 12 and 14.
  30. 30.Find the LCM of 3, 15 and 4.
  31. 31.Find the LCM of 9, 12 and 10.
  32. 32.Find the HCF of 20 and 8.
  33. 33.Find the LCM of 12 and 28.
  34. 34.Find the LCM of 10, 5 and 15.
  35. 35.Find the HCF of 18 and 63.
  36. 36.Find the LCM of 24 and 28.
  37. 37.Find the HCF of 21 and 28.
  38. 38.Find the HCF of 28 and 21.
  39. 39.Find the LCM of 10 and 45.
  40. 40.Find the LCM of 25 and 20.

Answer key

  1. 14
  2. 75
  3. 20
  4. 2
  5. 9
  6. 36
  7. 6
  8. 12
  9. 56
  10. 45
  11. 10
  12. 20
  13. 12
  14. 45
  15. 36
  16. 224
  17. 63
  18. 6
  19. 12
  20. 5
  21. 56
  22. 16
  23. 108
  24. 6
  25. 11
  26. 8
  27. 12
  28. 24
  29. 84
  30. 60
  31. 180
  32. 4
  33. 84
  34. 30
  35. 9
  36. 168
  37. 7
  38. 7
  39. 90
  40. 100

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