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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 788 · 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 12 and 54.
  2. 2.Find the LCM of 2, 9 and 5.
  3. 3.Find the HCF of 10 and 35.
  4. 4.Find the HCF of 55 and 77.
  5. 5.Find the HCF of 49 and 35.
  6. 6.Find the LCM of 2, 8 and 9.
  7. 7.Find the HCF of 88 and 77.
  8. 8.The HCF of two numbers is 6 and their LCM is 108. One of the numbers is 12. What is the other number?
  9. 9.Find the HCF of 24 and 64.
  10. 10.Find the LCM of 8, 4 and 10.
  11. 11.Find the LCM of 36 and 16.
  12. 12.The HCF of two numbers is 9 and their LCM is 315. One of the numbers is 63. What is the other number?
  13. 13.Find the LCM of 18 and 24.
  14. 14.Find the HCF of 96 and 60.
  15. 15.Find the LCM of 5 and 8.
  16. 16.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 18. What is the other number?
  17. 17.Find the HCF of 56 and 49.
  18. 18.Find the LCM of 10, 14 and 5.
  19. 19.Find the LCM of 15 and 10.
  20. 20.Find the HCF of 28 and 12.
  21. 21.Find the LCM of 4 and 18.
  22. 22.The HCF of two numbers is 8 and their LCM is 112. One of the numbers is 16. What is the other number?
  23. 23.Find the HCF of 72 and 63.
  24. 24.Find the LCM of 48 and 18.
  25. 25.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 18. What is the other number?
  26. 26.Find the LCM of 12 and 9.
  27. 27.Find the LCM of 6, 3 and 7.
  28. 28.Find the LCM of 7 and 3.
  29. 29.Find the HCF of 21 and 49.
  30. 30.Find the LCM of 14 and 12.
  31. 31.Find the LCM of 12 and 32.
  32. 32.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 24. What is the other number?
  33. 33.Find the LCM of 15 and 12.
  34. 34.Find the LCM of 13, 6 and 12.
  35. 35.Find the LCM of 9, 14 and 2.
  36. 36.Find the LCM of 10, 5 and 12.
  37. 37.The HCF of two numbers is 6 and their LCM is 252. One of the numbers is 36. What is the other number?
  38. 38.The HCF of two numbers is 6 and their LCM is 180. One of the numbers is 30. What is the other number?
  39. 39.Find the LCM of 5, 2 and 12.
  40. 40.Find the LCM of 36 and 28.

Answer key

  1. 6
  2. 90
  3. 5
  4. 11
  5. 7
  6. 72
  7. 11
  8. 54
  9. 8
  10. 40
  11. 144
  12. 45
  13. 72
  14. 12
  15. 40
  16. 10
  17. 7
  18. 70
  19. 30
  20. 4
  21. 36
  22. 56
  23. 9
  24. 144
  25. 81
  26. 36
  27. 42
  28. 21
  29. 7
  30. 84
  31. 96
  32. 9
  33. 60
  34. 156
  35. 126
  36. 60
  37. 42
  38. 36
  39. 60
  40. 252

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