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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 928 · 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 21.
  2. 2.Find the LCM of 4, 3 and 2.
  3. 3.Find the LCM of 42 and 36.
  4. 4.Find the HCF of 9 and 21.
  5. 5.Find the LCM of 4, 2 and 6.
  6. 6.Find the LCM of 3, 5 and 8.
  7. 7.Find the HCF of 40 and 56.
  8. 8.Find the HCF of 4 and 14.
  9. 9.Find the HCF of 112 and 98.
  10. 10.Find the HCF of 32 and 12.
  11. 11.Find the HCF of 27 and 24.
  12. 12.Find the HCF of 90 and 105.
  13. 13.Find the LCM of 9, 11 and 6.
  14. 14.Find the LCM of 8 and 18.
  15. 15.Find the LCM of 12 and 8.
  16. 16.Find the HCF of 21 and 6.
  17. 17.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 8. What is the other number?
  18. 18.Find the HCF of 22 and 33.
  19. 19.Find the LCM of 7, 3 and 2.
  20. 20.Find the LCM of 4 and 10.
  21. 21.Find the LCM of 18 and 24.
  22. 22.Find the LCM of 6, 10 and 8.
  23. 23.Find the LCM of 18 and 42.
  24. 24.Find the LCM of 7 and 5.
  25. 25.Find the LCM of 7, 9 and 6.
  26. 26.Find the LCM of 15, 2 and 9.
  27. 27.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 14. What is the other number?
  28. 28.Find the LCM of 11, 6 and 4.
  29. 29.Find the LCM of 13, 3 and 9.
  30. 30.Find the LCM of 8, 12 and 3.
  31. 31.Find the HCF of 16 and 28.
  32. 32.Find the LCM of 7, 13 and 2.
  33. 33.Find the LCM of 28 and 16.
  34. 34.Find the HCF of 24 and 15.
  35. 35.Find the LCM of 9 and 21.
  36. 36.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 6. What is the other number?
  37. 37.Find the HCF of 49 and 42.
  38. 38.Find the LCM of 2, 14 and 4.
  39. 39.Find the LCM of 8, 2 and 12.
  40. 40.Find the LCM of 11, 7 and 3.

Answer key

  1. 7
  2. 12
  3. 252
  4. 3
  5. 12
  6. 120
  7. 8
  8. 2
  9. 14
  10. 4
  11. 3
  12. 15
  13. 198
  14. 72
  15. 24
  16. 3
  17. 6
  18. 11
  19. 42
  20. 20
  21. 72
  22. 120
  23. 126
  24. 35
  25. 126
  26. 90
  27. 63
  28. 132
  29. 117
  30. 24
  31. 4
  32. 182
  33. 112
  34. 3
  35. 63
  36. 14
  37. 7
  38. 28
  39. 24
  40. 231

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