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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 600 · 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 4 and their LCM is 252. One of the numbers is 28. What is the other number?
  2. 2.Find the HCF of 35 and 30.
  3. 3.Find the LCM of 2 and 9.
  4. 4.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 27. What is the other number?
  5. 5.Find the HCF of 20 and 35.
  6. 6.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 32. What is the other number?
  7. 7.Find the HCF of 63 and 54.
  8. 8.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 63. What is the other number?
  9. 9.Find the LCM of 4 and 9.
  10. 10.Find the LCM of 6, 14 and 3.
  11. 11.Find the HCF of 84 and 48.
  12. 12.Find the LCM of 4, 13 and 2.
  13. 13.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 24. What is the other number?
  14. 14.Find the LCM of 54 and 42.
  15. 15.Find the LCM of 15 and 6.
  16. 16.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 21. What is the other number?
  17. 17.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 27. What is the other number?
  18. 18.Find the LCM of 6 and 15.
  19. 19.Find the HCF of 48 and 84.
  20. 20.Find the LCM of 45 and 20.
  21. 21.Find the LCM of 6 and 21.
  22. 22.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 25. What is the other number?
  23. 23.Find the HCF of 45 and 20.
  24. 24.Find the LCM of 4, 3 and 5.
  25. 25.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 28. What is the other number?
  26. 26.Find the LCM of 30 and 12.
  27. 27.Find the LCM of 24 and 15.
  28. 28.The HCF of two numbers is 6 and their LCM is 378. One of the numbers is 42. What is the other number?
  29. 29.Find the HCF of 15 and 20.
  30. 30.Find the LCM of 14, 7 and 10.
  31. 31.Find the HCF of 72 and 45.
  32. 32.Find the HCF of 10 and 8.
  33. 33.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 14. What is the other number?
  34. 34.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 6. What is the other number?
  35. 35.Find the LCM of 13, 6 and 3.
  36. 36.Find the HCF of 42 and 35.
  37. 37.Find the HCF of 40 and 35.
  38. 38.Find the LCM of 48 and 42.
  39. 39.Find the LCM of 6, 5 and 4.
  40. 40.Find the LCM of 48 and 18.

Answer key

  1. 36
  2. 5
  3. 18
  4. 72
  5. 5
  6. 28
  7. 9
  8. 81
  9. 36
  10. 42
  11. 12
  12. 52
  13. 9
  14. 378
  15. 30
  16. 18
  17. 36
  18. 30
  19. 12
  20. 180
  21. 42
  22. 30
  23. 5
  24. 60
  25. 32
  26. 60
  27. 120
  28. 54
  29. 5
  30. 70
  31. 9
  32. 2
  33. 10
  34. 27
  35. 78
  36. 7
  37. 5
  38. 336
  39. 60
  40. 144

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