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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 951 · 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 32 and 40.
  2. 2.Find the HCF of 8 and 10.
  3. 3.Find the LCM of 12, 9 and 6.
  4. 4.Find the LCM of 10, 15 and 9.
  5. 5.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 14. What is the other number?
  6. 6.Find the LCM of 20 and 45.
  7. 7.Find the LCM of 4, 12 and 9.
  8. 8.Find the HCF of 135 and 105.
  9. 9.Find the LCM of 27 and 24.
  10. 10.Find the LCM of 10, 7 and 5.
  11. 11.Find the HCF of 20 and 70.
  12. 12.Find the LCM of 12 and 8.
  13. 13.Find the LCM of 6 and 8.
  14. 14.Find the LCM of 14 and 16.
  15. 15.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 32. What is the other number?
  16. 16.Find the LCM of 2, 11 and 5.
  17. 17.Find the HCF of 12 and 18.
  18. 18.Find the LCM of 36 and 8.
  19. 19.The HCF of two numbers is 3 and their LCM is 168. One of the numbers is 24. What is the other number?
  20. 20.Find the LCM of 24 and 15.
  21. 21.Find the LCM of 45 and 10.
  22. 22.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 35. What is the other number?
  23. 23.Find the LCM of 12 and 32.
  24. 24.Find the HCF of 84 and 96.
  25. 25.Find the HCF of 8 and 20.
  26. 26.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 6. What is the other number?
  27. 27.Find the HCF of 30 and 135.
  28. 28.Find the HCF of 50 and 30.
  29. 29.Find the HCF of 6 and 10.
  30. 30.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 28. What is the other number?
  31. 31.The HCF of two numbers is 7 and their LCM is 210. One of the numbers is 35. What is the other number?
  32. 32.Find the HCF of 6 and 16.
  33. 33.Find the LCM of 8 and 12.
  34. 34.Find the HCF of 108 and 24.
  35. 35.Find the HCF of 28 and 98.
  36. 36.Find the HCF of 26 and 91.
  37. 37.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 6. What is the other number?
  38. 38.Find the HCF of 84 and 60.
  39. 39.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 45. What is the other number?
  40. 40.Find the LCM of 5, 2 and 13.

Answer key

  1. 8
  2. 2
  3. 36
  4. 90
  5. 8
  6. 180
  7. 36
  8. 15
  9. 216
  10. 70
  11. 10
  12. 24
  13. 24
  14. 112
  15. 28
  16. 110
  17. 6
  18. 72
  19. 21
  20. 120
  21. 90
  22. 14
  23. 96
  24. 12
  25. 4
  26. 16
  27. 15
  28. 10
  29. 2
  30. 35
  31. 42
  32. 2
  33. 24
  34. 12
  35. 14
  36. 13
  37. 4
  38. 12
  39. 35
  40. 130

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