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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 794 · 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 30 and 80.
  2. 2.Find the LCM of 30 and 36.
  3. 3.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 15. What is the other number?
  4. 4.Find the LCM of 36 and 30.
  5. 5.Find the LCM of 27 and 21.
  6. 6.Find the HCF of 105 and 90.
  7. 7.Find the LCM of 14, 8 and 6.
  8. 8.Find the HCF of 70 and 84.
  9. 9.Find the HCF of 64 and 40.
  10. 10.Find the LCM of 20 and 35.
  11. 11.Find the HCF of 45 and 35.
  12. 12.Find the LCM of 18 and 48.
  13. 13.Find the LCM of 48 and 42.
  14. 14.Find the LCM of 24 and 21.
  15. 15.Find the LCM of 2, 3 and 11.
  16. 16.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 6. What is the other number?
  17. 17.Find the HCF of 18 and 81.
  18. 18.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 12. What is the other number?
  19. 19.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 6. What is the other number?
  20. 20.Find the HCF of 66 and 77.
  21. 21.Find the LCM of 7, 2 and 15.
  22. 22.Find the LCM of 12 and 28.
  23. 23.The HCF of two numbers is 6 and their LCM is 108. One of the numbers is 12. What is the other number?
  24. 24.Find the LCM of 24 and 20.
  25. 25.Find the LCM of 15, 8 and 3.
  26. 26.Find the HCF of 32 and 24.
  27. 27.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 10. What is the other number?
  28. 28.Find the HCF of 9 and 6.
  29. 29.The HCF of two numbers is 4 and their LCM is 168. One of the numbers is 28. What is the other number?
  30. 30.Find the LCM of 6, 4 and 8.
  31. 31.Find the LCM of 12 and 32.
  32. 32.Find the LCM of 21 and 12.
  33. 33.Find the HCF of 56 and 16.
  34. 34.The HCF of two numbers is 7 and their LCM is 196. One of the numbers is 28. What is the other number?
  35. 35.Find the HCF of 10 and 14.
  36. 36.Find the LCM of 4, 10 and 5.
  37. 37.Find the LCM of 14 and 10.
  38. 38.Find the LCM of 4, 15 and 5.
  39. 39.Find the LCM of 15 and 10.
  40. 40.Find the LCM of 3, 13 and 2.

Answer key

  1. 10
  2. 180
  3. 20
  4. 180
  5. 189
  6. 15
  7. 168
  8. 14
  9. 8
  10. 140
  11. 5
  12. 144
  13. 336
  14. 168
  15. 66
  16. 16
  17. 9
  18. 15
  19. 9
  20. 11
  21. 210
  22. 84
  23. 54
  24. 120
  25. 120
  26. 8
  27. 16
  28. 3
  29. 24
  30. 24
  31. 96
  32. 84
  33. 8
  34. 49
  35. 2
  36. 20
  37. 70
  38. 60
  39. 30
  40. 78

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