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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 764 · 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 49 and 63.
  2. 2.Find the HCF of 24 and 64.
  3. 3.Find the LCM of 5, 7 and 2.
  4. 4.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 14. What is the other number?
  5. 5.Find the LCM of 16 and 18.
  6. 6.Find the LCM of 12, 2 and 3.
  7. 7.Find the LCM of 10 and 16.
  8. 8.Find the LCM of 10, 4 and 6.
  9. 9.The HCF of two numbers is 6 and their LCM is 432. One of the numbers is 54. What is the other number?
  10. 10.Find the LCM of 14, 3 and 4.
  11. 11.Find the LCM of 6 and 10.
  12. 12.Find the LCM of 10, 5 and 14.
  13. 13.The HCF of two numbers is 5 and their LCM is 225. One of the numbers is 25. What is the other number?
  14. 14.Find the HCF of 135 and 120.
  15. 15.Find the LCM of 36 and 32.
  16. 16.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 6. What is the other number?
  17. 17.Find the HCF of 39 and 26.
  18. 18.The HCF of two numbers is 4 and their LCM is 160. One of the numbers is 32. What is the other number?
  19. 19.Find the LCM of 14, 7 and 12.
  20. 20.Find the HCF of 10 and 35.
  21. 21.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 27. What is the other number?
  22. 22.Find the LCM of 45 and 10.
  23. 23.Find the LCM of 9 and 24.
  24. 24.Find the LCM of 7 and 8.
  25. 25.The HCF of two numbers is 9 and their LCM is 360. One of the numbers is 45. What is the other number?
  26. 26.Find the LCM of 28 and 12.
  27. 27.Find the LCM of 3, 6 and 12.
  28. 28.Find the LCM of 3 and 7.
  29. 29.The HCF of two numbers is 6 and their LCM is 210. One of the numbers is 42. What is the other number?
  30. 30.The HCF of two numbers is 6 and their LCM is 108. One of the numbers is 54. What is the other number?
  31. 31.Find the LCM of 6 and 4.
  32. 32.Find the LCM of 18 and 24.
  33. 33.Find the LCM of 13, 6 and 2.
  34. 34.Find the HCF of 14 and 12.
  35. 35.Find the HCF of 64 and 72.
  36. 36.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 8. What is the other number?
  37. 37.Find the LCM of 30 and 12.
  38. 38.Find the HCF of 12 and 20.
  39. 39.Find the HCF of 81 and 72.
  40. 40.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 36. What is the other number?

Answer key

  1. 7
  2. 8
  3. 70
  4. 21
  5. 144
  6. 12
  7. 80
  8. 60
  9. 48
  10. 84
  11. 30
  12. 70
  13. 45
  14. 15
  15. 288
  16. 14
  17. 13
  18. 20
  19. 84
  20. 5
  21. 15
  22. 90
  23. 72
  24. 56
  25. 72
  26. 84
  27. 12
  28. 21
  29. 30
  30. 12
  31. 12
  32. 72
  33. 78
  34. 2
  35. 8
  36. 36
  37. 60
  38. 4
  39. 9
  40. 45

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