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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 778 · 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 24 and 27.
  2. 2.Find the LCM of 10 and 15.
  3. 3.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 6. What is the other number?
  4. 4.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 10. What is the other number?
  5. 5.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 15. What is the other number?
  6. 6.The HCF of two numbers is 5 and their LCM is 225. One of the numbers is 25. What is the other number?
  7. 7.Find the HCF of 40 and 64.
  8. 8.Find the LCM of 2, 10 and 4.
  9. 9.Find the HCF of 40 and 45.
  10. 10.Find the LCM of 6, 13 and 9.
  11. 11.Find the LCM of 2, 8 and 14.
  12. 12.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 48. What is the other number?
  13. 13.The HCF of two numbers is 6 and their LCM is 270. One of the numbers is 54. What is the other number?
  14. 14.Find the HCF of 80 and 90.
  15. 15.Find the LCM of 6 and 15.
  16. 16.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 6. What is the other number?
  17. 17.Find the LCM of 7, 14 and 2.
  18. 18.Find the LCM of 9, 8 and 2.
  19. 19.Find the HCF of 36 and 63.
  20. 20.Find the LCM of 13, 9 and 3.
  21. 21.Find the LCM of 10, 12 and 6.
  22. 22.Find the LCM of 14, 15 and 7.
  23. 23.Find the LCM of 6, 9 and 11.
  24. 24.Find the LCM of 4, 2 and 13.
  25. 25.Find the HCF of 20 and 90.
  26. 26.Find the LCM of 9 and 4.
  27. 27.Find the LCM of 3, 10 and 15.
  28. 28.Find the LCM of 7 and 6.
  29. 29.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 8. What is the other number?
  30. 30.Find the HCF of 42 and 30.
  31. 31.Find the HCF of 75 and 105.
  32. 32.Find the LCM of 14, 7 and 4.
  33. 33.Find the HCF of 12 and 27.
  34. 34.Find the LCM of 12, 3 and 9.
  35. 35.Find the HCF of 35 and 25.
  36. 36.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 48. What is the other number?
  37. 37.Find the LCM of 15 and 21.
  38. 38.Find the LCM of 8, 4 and 7.
  39. 39.Find the HCF of 33 and 44.
  40. 40.Find the LCM of 48 and 54.

Answer key

  1. 3
  2. 30
  3. 15
  4. 18
  5. 21
  6. 45
  7. 8
  8. 20
  9. 5
  10. 234
  11. 56
  12. 56
  13. 30
  14. 10
  15. 30
  16. 9
  17. 14
  18. 72
  19. 9
  20. 117
  21. 60
  22. 210
  23. 198
  24. 52
  25. 10
  26. 36
  27. 30
  28. 42
  29. 6
  30. 6
  31. 15
  32. 28
  33. 3
  34. 36
  35. 5
  36. 18
  37. 105
  38. 56
  39. 11
  40. 432

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