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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 756 · 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 35 and 10.
  2. 2.Find the HCF of 25 and 35.
  3. 3.Find the HCF of 27 and 72.
  4. 4.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 12. What is the other number?
  5. 5.Find the HCF of 26 and 65.
  6. 6.Find the LCM of 8 and 14.
  7. 7.Find the LCM of 16 and 10.
  8. 8.Find the LCM of 36 and 16.
  9. 9.Find the HCF of 15 and 25.
  10. 10.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 27. What is the other number?
  11. 11.Find the LCM of 16 and 28.
  12. 12.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 16. What is the other number?
  13. 13.Find the HCF of 21 and 35.
  14. 14.Find the LCM of 45 and 10.
  15. 15.The HCF of two numbers is 2 and their LCM is 40. One of the numbers is 10. What is the other number?
  16. 16.Find the LCM of 15 and 6.
  17. 17.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 63. What is the other number?
  18. 18.Find the LCM of 12 and 10.
  19. 19.The HCF of two numbers is 8 and their LCM is 320. One of the numbers is 64. What is the other number?
  20. 20.Find the LCM of 15, 12 and 4.
  21. 21.Find the LCM of 4 and 10.
  22. 22.Find the LCM of 6, 2 and 13.
  23. 23.Find the LCM of 2, 12 and 10.
  24. 24.Find the LCM of 9 and 2.
  25. 25.Find the LCM of 9, 4 and 3.
  26. 26.Find the HCF of 14 and 16.
  27. 27.Find the LCM of 48 and 30.
  28. 28.Find the HCF of 21 and 14.
  29. 29.Find the LCM of 13, 12 and 6.
  30. 30.Find the HCF of 49 and 42.
  31. 31.Find the LCM of 28 and 16.
  32. 32.Find the HCF of 40 and 90.
  33. 33.Find the LCM of 42 and 24.
  34. 34.Find the HCF of 60 and 108.
  35. 35.Find the LCM of 9 and 21.
  36. 36.Find the LCM of 27 and 15.
  37. 37.Find the LCM of 24 and 28.
  38. 38.Find the LCM of 6 and 16.
  39. 39.Find the LCM of 4, 2 and 5.
  40. 40.Find the HCF of 8 and 12.

Answer key

  1. 5
  2. 5
  3. 9
  4. 8
  5. 13
  6. 56
  7. 80
  8. 144
  9. 5
  10. 63
  11. 112
  12. 14
  13. 7
  14. 90
  15. 8
  16. 30
  17. 49
  18. 60
  19. 40
  20. 60
  21. 20
  22. 78
  23. 60
  24. 18
  25. 36
  26. 2
  27. 240
  28. 7
  29. 156
  30. 7
  31. 112
  32. 10
  33. 168
  34. 12
  35. 63
  36. 135
  37. 168
  38. 48
  39. 20
  40. 4

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