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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 253 · 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.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 15. What is the other number?
  2. 2.The HCF of two numbers is 5 and their LCM is 180. One of the numbers is 45. What is the other number?
  3. 3.Find the LCM of 2 and 7.
  4. 4.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 24. What is the other number?
  5. 5.Find the LCM of 7, 12 and 3.
  6. 6.Find the LCM of 14, 11 and 7.
  7. 7.Find the LCM of 42 and 54.
  8. 8.Find the LCM of 35 and 25.
  9. 9.Find the LCM of 4, 14 and 6.
  10. 10.Find the HCF of 35 and 30.
  11. 11.The HCF of two numbers is 9 and their LCM is 135. One of the numbers is 45. What is the other number?
  12. 12.Find the HCF of 20 and 16.
  13. 13.Find the LCM of 7, 4 and 8.
  14. 14.Find the LCM of 4 and 9.
  15. 15.Find the HCF of 70 and 126.
  16. 16.Find the HCF of 96 and 60.
  17. 17.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 8. What is the other number?
  18. 18.Find the LCM of 18 and 42.
  19. 19.Find the HCF of 27 and 24.
  20. 20.Find the LCM of 14, 3 and 9.
  21. 21.Find the LCM of 5 and 4.
  22. 22.Find the LCM of 48 and 30.
  23. 23.Find the LCM of 9, 14 and 3.
  24. 24.Find the LCM of 8 and 7.
  25. 25.Find the HCF of 32 and 28.
  26. 26.Find the LCM of 15 and 21.
  27. 27.Find the HCF of 12 and 16.
  28. 28.Find the HCF of 16 and 24.
  29. 29.Find the LCM of 35 and 40.
  30. 30.Find the HCF of 36 and 81.
  31. 31.Find the HCF of 39 and 91.
  32. 32.Find the HCF of 66 and 77.
  33. 33.Find the LCM of 14, 15 and 7.
  34. 34.Find the LCM of 3, 12 and 8.
  35. 35.The HCF of two numbers is 7 and their LCM is 105. One of the numbers is 35. What is the other number?
  36. 36.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 27. What is the other number?
  37. 37.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 21. What is the other number?
  38. 38.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 32. What is the other number?
  39. 39.Find the HCF of 12 and 27.
  40. 40.Find the LCM of 48 and 42.

Answer key

  1. 21
  2. 20
  3. 14
  4. 15
  5. 84
  6. 154
  7. 378
  8. 175
  9. 84
  10. 5
  11. 27
  12. 4
  13. 56
  14. 36
  15. 14
  16. 12
  17. 12
  18. 126
  19. 3
  20. 126
  21. 20
  22. 240
  23. 126
  24. 56
  25. 4
  26. 105
  27. 4
  28. 8
  29. 280
  30. 9
  31. 13
  32. 11
  33. 210
  34. 24
  35. 21
  36. 24
  37. 6
  38. 56
  39. 3
  40. 336

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