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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 31 · 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 45 and 72.
  2. 2.Find the LCM of 20 and 12.
  3. 3.Find the HCF of 55 and 88.
  4. 4.The HCF of two numbers is 5 and their LCM is 225. One of the numbers is 25. What is the other number?
  5. 5.Find the LCM of 7, 2 and 13.
  6. 6.The HCF of two numbers is 8 and their LCM is 360. One of the numbers is 40. What is the other number?
  7. 7.Find the LCM of 25 and 30.
  8. 8.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 12. What is the other number?
  9. 9.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 63. What is the other number?
  10. 10.Find the LCM of 15, 10 and 4.
  11. 11.Find the HCF of 42 and 49.
  12. 12.Find the HCF of 48 and 40.
  13. 13.The HCF of two numbers is 9 and their LCM is 315. One of the numbers is 45. What is the other number?
  14. 14.Find the LCM of 3, 9 and 11.
  15. 15.Find the LCM of 8, 12 and 2.
  16. 16.Find the HCF of 98 and 112.
  17. 17.Find the LCM of 9 and 2.
  18. 18.Find the LCM of 6, 12 and 8.
  19. 19.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 6. What is the other number?
  20. 20.Find the LCM of 8, 4 and 7.
  21. 21.Find the HCF of 10 and 18.
  22. 22.Find the LCM of 2, 4 and 14.
  23. 23.Find the HCF of 8 and 6.
  24. 24.Find the HCF of 28 and 24.
  25. 25.Find the LCM of 12, 7 and 4.
  26. 26.Find the HCF of 32 and 20.
  27. 27.Find the LCM of 12, 2 and 4.
  28. 28.Find the LCM of 20 and 32.
  29. 29.The HCF of two numbers is 7 and their LCM is 168. One of the numbers is 21. What is the other number?
  30. 30.Find the LCM of 9, 4 and 15.
  31. 31.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 27. What is the other number?
  32. 32.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 12. What is the other number?
  33. 33.Find the LCM of 3, 7 and 12.
  34. 34.Find the LCM of 7 and 9.
  35. 35.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 25. What is the other number?
  36. 36.Find the HCF of 32 and 40.
  37. 37.Find the LCM of 7, 2 and 3.
  38. 38.The HCF of two numbers is 2 and their LCM is 40. One of the numbers is 8. What is the other number?
  39. 39.Find the LCM of 3 and 5.
  40. 40.Find the LCM of 21 and 6.

Answer key

  1. 9
  2. 60
  3. 11
  4. 45
  5. 182
  6. 72
  7. 150
  8. 21
  9. 81
  10. 60
  11. 7
  12. 8
  13. 63
  14. 99
  15. 24
  16. 14
  17. 18
  18. 24
  19. 8
  20. 56
  21. 2
  22. 28
  23. 2
  24. 4
  25. 84
  26. 4
  27. 12
  28. 160
  29. 56
  30. 180
  31. 36
  32. 9
  33. 84
  34. 63
  35. 10
  36. 8
  37. 42
  38. 10
  39. 15
  40. 42

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