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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 817 · 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 45 and 40.
  2. 2.Find the HCF of 63 and 18.
  3. 3.The HCF of two numbers is 4 and their LCM is 144. One of the numbers is 16. What is the other number?
  4. 4.Find the HCF of 45 and 36.
  5. 5.Find the LCM of 18 and 16.
  6. 6.Find the LCM of 6, 2 and 12.
  7. 7.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 42. What is the other number?
  8. 8.Find the HCF of 24 and 84.
  9. 9.Find the LCM of 16 and 10.
  10. 10.Find the HCF of 14 and 4.
  11. 11.Find the LCM of 8, 9 and 2.
  12. 12.The HCF of two numbers is 9 and their LCM is 360. One of the numbers is 72. What is the other number?
  13. 13.Find the LCM of 3, 4 and 6.
  14. 14.Find the LCM of 2, 9 and 5.
  15. 15.Find the LCM of 20 and 8.
  16. 16.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 21. What is the other number?
  17. 17.Find the LCM of 8, 15 and 10.
  18. 18.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 14. What is the other number?
  19. 19.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 10. What is the other number?
  20. 20.Find the LCM of 15, 7 and 5.
  21. 21.Find the LCM of 6, 2 and 5.
  22. 22.Find the LCM of 6, 12 and 10.
  23. 23.Find the LCM of 5, 11 and 3.
  24. 24.Find the LCM of 12, 8 and 2.
  25. 25.Find the LCM of 15, 4 and 6.
  26. 26.Find the LCM of 12 and 8.
  27. 27.Find the HCF of 42 and 35.
  28. 28.Find the LCM of 24 and 42.
  29. 29.Find the HCF of 21 and 27.
  30. 30.Find the HCF of 45 and 35.
  31. 31.Find the LCM of 14 and 4.
  32. 32.Find the LCM of 3 and 2.
  33. 33.Find the HCF of 12 and 30.
  34. 34.Find the LCM of 36 and 8.
  35. 35.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 6. What is the other number?
  36. 36.Find the LCM of 4 and 6.
  37. 37.Find the HCF of 65 and 39.
  38. 38.Find the LCM of 10, 5 and 7.
  39. 39.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 10. What is the other number?
  40. 40.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 24. What is the other number?

Answer key

  1. 5
  2. 9
  3. 36
  4. 9
  5. 144
  6. 12
  7. 18
  8. 12
  9. 80
  10. 2
  11. 72
  12. 45
  13. 12
  14. 90
  15. 40
  16. 18
  17. 120
  18. 6
  19. 35
  20. 105
  21. 30
  22. 60
  23. 165
  24. 24
  25. 60
  26. 24
  27. 7
  28. 168
  29. 3
  30. 5
  31. 28
  32. 6
  33. 6
  34. 72
  35. 27
  36. 12
  37. 13
  38. 70
  39. 16
  40. 40

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