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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 663 · 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 4 and 18.
  2. 2.Find the LCM of 12 and 16.
  3. 3.Find the LCM of 8, 15 and 6.
  4. 4.Find the LCM of 15 and 10.
  5. 5.The HCF of two numbers is 5 and their LCM is 180. One of the numbers is 45. What is the other number?
  6. 6.Find the LCM of 16 and 10.
  7. 7.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 36. What is the other number?
  8. 8.Find the HCF of 126 and 112.
  9. 9.Find the HCF of 28 and 32.
  10. 10.The HCF of two numbers is 7 and their LCM is 196. One of the numbers is 49. What is the other number?
  11. 11.Find the HCF of 33 and 55.
  12. 12.Find the HCF of 81 and 36.
  13. 13.Find the LCM of 3, 9 and 2.
  14. 14.Find the LCM of 4, 6 and 3.
  15. 15.Find the HCF of 72 and 45.
  16. 16.Find the LCM of 7, 5 and 14.
  17. 17.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 48. What is the other number?
  18. 18.The HCF of two numbers is 3 and their LCM is 168. One of the numbers is 21. What is the other number?
  19. 19.Find the LCM of 21 and 27.
  20. 20.Find the HCF of 60 and 108.
  21. 21.Find the HCF of 8 and 14.
  22. 22.Find the LCM of 9 and 5.
  23. 23.The HCF of two numbers is 8 and their LCM is 448. One of the numbers is 64. What is the other number?
  24. 24.The HCF of two numbers is 4 and their LCM is 168. One of the numbers is 24. What is the other number?
  25. 25.Find the LCM of 15 and 20.
  26. 26.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 49. What is the other number?
  27. 27.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 8. What is the other number?
  28. 28.Find the HCF of 78 and 91.
  29. 29.Find the LCM of 42 and 18.
  30. 30.Find the LCM of 10, 7 and 2.
  31. 31.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 14. What is the other number?
  32. 32.Find the LCM of 4, 3 and 7.
  33. 33.Find the LCM of 4, 7 and 6.
  34. 34.Find the LCM of 14, 2 and 6.
  35. 35.Find the HCF of 63 and 56.
  36. 36.Find the HCF of 16 and 18.
  37. 37.Find the LCM of 12 and 30.
  38. 38.Find the LCM of 3, 8 and 2.
  39. 39.Find the HCF of 18 and 48.
  40. 40.Find the LCM of 3, 10 and 2.

Answer key

  1. 2
  2. 48
  3. 120
  4. 30
  5. 20
  6. 80
  7. 63
  8. 14
  9. 4
  10. 28
  11. 11
  12. 9
  13. 18
  14. 12
  15. 9
  16. 70
  17. 18
  18. 24
  19. 189
  20. 12
  21. 2
  22. 45
  23. 56
  24. 28
  25. 60
  26. 63
  27. 12
  28. 13
  29. 126
  30. 70
  31. 4
  32. 84
  33. 84
  34. 42
  35. 7
  36. 2
  37. 60
  38. 24
  39. 6
  40. 30

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