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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 574 · 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 105 and 75.
  2. 2.Find the LCM of 15 and 40.
  3. 3.Find the HCF of 10 and 25.
  4. 4.Find the LCM of 2, 5 and 4.
  5. 5.Find the HCF of 12 and 20.
  6. 6.Find the LCM of 3 and 5.
  7. 7.Find the LCM of 21 and 9.
  8. 8.Find the LCM of 25 and 35.
  9. 9.Find the HCF of 21 and 49.
  10. 10.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 35. What is the other number?
  11. 11.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 45. What is the other number?
  12. 12.Find the LCM of 12 and 54.
  13. 13.Find the HCF of 126 and 112.
  14. 14.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 16. What is the other number?
  15. 15.Find the HCF of 9 and 15.
  16. 16.Find the HCF of 42 and 56.
  17. 17.Find the HCF of 104 and 117.
  18. 18.Find the LCM of 3, 5 and 13.
  19. 19.Find the LCM of 9, 3 and 5.
  20. 20.Find the LCM of 18 and 21.
  21. 21.Find the LCM of 27 and 12.
  22. 22.Find the LCM of 4 and 14.
  23. 23.Find the LCM of 24 and 28.
  24. 24.Find the HCF of 32 and 28.
  25. 25.Find the HCF of 64 and 72.
  26. 26.Find the LCM of 3, 4 and 5.
  27. 27.Find the LCM of 16 and 20.
  28. 28.Find the HCF of 65 and 91.
  29. 29.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 18. What is the other number?
  30. 30.Find the HCF of 65 and 117.
  31. 31.Find the HCF of 52 and 65.
  32. 32.Find the LCM of 4, 10 and 6.
  33. 33.Find the HCF of 45 and 120.
  34. 34.Find the LCM of 15, 5 and 11.
  35. 35.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 45. What is the other number?
  36. 36.Find the LCM of 3, 15 and 4.
  37. 37.The HCF of two numbers is 4 and their LCM is 120. One of the numbers is 20. What is the other number?
  38. 38.Find the HCF of 16 and 28.
  39. 39.Find the LCM of 10 and 18.
  40. 40.Find the LCM of 8, 7 and 3.

Answer key

  1. 15
  2. 120
  3. 5
  4. 20
  5. 4
  6. 15
  7. 63
  8. 175
  9. 7
  10. 56
  11. 18
  12. 108
  13. 14
  14. 14
  15. 3
  16. 14
  17. 13
  18. 195
  19. 45
  20. 126
  21. 108
  22. 28
  23. 168
  24. 4
  25. 8
  26. 60
  27. 80
  28. 13
  29. 30
  30. 13
  31. 13
  32. 60
  33. 15
  34. 165
  35. 81
  36. 60
  37. 24
  38. 4
  39. 90
  40. 168

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