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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 919 · 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 36 and 20.
  2. 2.Find the LCM of 20 and 16.
  3. 3.Find the LCM of 15 and 27.
  4. 4.Find the HCF of 105 and 135.
  5. 5.Find the LCM of 2, 14 and 13.
  6. 6.Find the LCM of 54 and 12.
  7. 7.Find the LCM of 10, 6 and 8.
  8. 8.Find the HCF of 21 and 9.
  9. 9.Find the LCM of 20 and 35.
  10. 10.Find the HCF of 24 and 108.
  11. 11.The HCF of two numbers is 8 and their LCM is 168. One of the numbers is 56. What is the other number?
  12. 12.Find the LCM of 20 and 8.
  13. 13.Find the LCM of 12 and 32.
  14. 14.Find the LCM of 3, 4 and 7.
  15. 15.The HCF of two numbers is 5 and their LCM is 175. One of the numbers is 25. What is the other number?
  16. 16.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 6. What is the other number?
  17. 17.Find the HCF of 8 and 10.
  18. 18.Find the LCM of 4 and 9.
  19. 19.Find the HCF of 72 and 16.
  20. 20.Find the HCF of 40 and 90.
  21. 21.Find the LCM of 2, 13 and 6.
  22. 22.Find the HCF of 90 and 80.
  23. 23.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 24. What is the other number?
  24. 24.Find the LCM of 7 and 3.
  25. 25.Find the LCM of 12 and 16.
  26. 26.Find the LCM of 9, 11 and 2.
  27. 27.Find the HCF of 112 and 42.
  28. 28.Find the LCM of 40 and 45.
  29. 29.Find the HCF of 54 and 63.
  30. 30.Find the LCM of 3, 10 and 5.
  31. 31.The HCF of two numbers is 7 and their LCM is 294. One of the numbers is 42. What is the other number?
  32. 32.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 28. What is the other number?
  33. 33.Find the LCM of 32 and 36.
  34. 34.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 10. What is the other number?
  35. 35.The HCF of two numbers is 8 and their LCM is 112. One of the numbers is 56. What is the other number?
  36. 36.Find the HCF of 14 and 16.
  37. 37.Find the HCF of 55 and 77.
  38. 38.Find the LCM of 8, 3 and 2.
  39. 39.Find the HCF of 18 and 42.
  40. 40.The HCF of two numbers is 6 and their LCM is 210. One of the numbers is 30. What is the other number?

Answer key

  1. 4
  2. 80
  3. 135
  4. 15
  5. 182
  6. 108
  7. 120
  8. 3
  9. 140
  10. 12
  11. 24
  12. 40
  13. 96
  14. 84
  15. 35
  16. 8
  17. 2
  18. 36
  19. 8
  20. 10
  21. 78
  22. 10
  23. 9
  24. 21
  25. 48
  26. 198
  27. 14
  28. 360
  29. 9
  30. 30
  31. 49
  32. 32
  33. 288
  34. 16
  35. 16
  36. 2
  37. 11
  38. 24
  39. 6
  40. 42

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