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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 275 · 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 25 and 10.
  2. 2.Find the LCM of 10, 6 and 3.
  3. 3.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 27. What is the other number?
  4. 4.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 16. What is the other number?
  5. 5.The HCF of two numbers is 5 and their LCM is 100. One of the numbers is 25. What is the other number?
  6. 6.Find the HCF of 20 and 25.
  7. 7.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 10. What is the other number?
  8. 8.Find the HCF of 56 and 32.
  9. 9.Find the HCF of 8 and 12.
  10. 10.Find the LCM of 20 and 45.
  11. 11.Find the HCF of 91 and 65.
  12. 12.Find the LCM of 54 and 42.
  13. 13.Find the LCM of 15, 10 and 7.
  14. 14.The HCF of two numbers is 3 and their LCM is 189. One of the numbers is 27. What is the other number?
  15. 15.Find the LCM of 45 and 35.
  16. 16.Find the HCF of 36 and 45.
  17. 17.Find the LCM of 7 and 4.
  18. 18.Find the HCF of 12 and 54.
  19. 19.Find the LCM of 2 and 9.
  20. 20.Find the HCF of 40 and 30.
  21. 21.Find the LCM of 8, 3 and 9.
  22. 22.Find the LCM of 14, 12 and 2.
  23. 23.Find the HCF of 77 and 33.
  24. 24.Find the HCF of 112 and 70.
  25. 25.Find the HCF of 45 and 10.
  26. 26.Find the HCF of 28 and 12.
  27. 27.Find the LCM of 48 and 30.
  28. 28.The HCF of two numbers is 8 and their LCM is 288. One of the numbers is 32. What is the other number?
  29. 29.Find the LCM of 11, 4 and 3.
  30. 30.Find the LCM of 10, 7 and 2.
  31. 31.Find the HCF of 20 and 45.
  32. 32.Find the LCM of 32 and 28.
  33. 33.Find the LCM of 24 and 30.
  34. 34.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 16. What is the other number?
  35. 35.The HCF of two numbers is 3 and their LCM is 168. One of the numbers is 24. What is the other number?
  36. 36.Find the HCF of 52 and 117.
  37. 37.Find the HCF of 6 and 4.
  38. 38.Find the LCM of 5, 3 and 9.
  39. 39.Find the LCM of 7 and 9.
  40. 40.Find the HCF of 28 and 21.

Answer key

  1. 5
  2. 30
  3. 24
  4. 28
  5. 20
  6. 5
  7. 15
  8. 8
  9. 4
  10. 180
  11. 13
  12. 378
  13. 210
  14. 21
  15. 315
  16. 9
  17. 28
  18. 6
  19. 18
  20. 10
  21. 72
  22. 84
  23. 11
  24. 14
  25. 5
  26. 4
  27. 240
  28. 72
  29. 132
  30. 70
  31. 5
  32. 224
  33. 120
  34. 24
  35. 21
  36. 13
  37. 2
  38. 45
  39. 63
  40. 7

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