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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 874 · 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.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 18. What is the other number?
  2. 2.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 28. What is the other number?
  3. 3.Find the HCF of 24 and 20.
  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.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 6. What is the other number?
  6. 6.Find the LCM of 24 and 18.
  7. 7.Find the HCF of 40 and 64.
  8. 8.Find the LCM of 7, 8 and 14.
  9. 9.Find the LCM of 9, 6 and 7.
  10. 10.Find the HCF of 30 and 50.
  11. 11.Find the HCF of 25 and 45.
  12. 12.Find the LCM of 7, 9 and 2.
  13. 13.The HCF of two numbers is 6 and their LCM is 120. One of the numbers is 30. What is the other number?
  14. 14.Find the HCF of 24 and 21.
  15. 15.Find the LCM of 8, 14 and 2.
  16. 16.Find the LCM of 12, 3 and 2.
  17. 17.Find the HCF of 84 and 72.
  18. 18.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 21. What is the other number?
  19. 19.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 36. What is the other number?
  20. 20.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 81. What is the other number?
  21. 21.Find the LCM of 18 and 30.
  22. 22.Find the LCM of 16 and 28.
  23. 23.Find the LCM of 7 and 5.
  24. 24.Find the HCF of 39 and 65.
  25. 25.Find the LCM of 42 and 48.
  26. 26.Find the LCM of 15, 10 and 5.
  27. 27.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 27. What is the other number?
  28. 28.Find the LCM of 10 and 6.
  29. 29.Find the HCF of 60 and 135.
  30. 30.The HCF of two numbers is 7 and their LCM is 147. One of the numbers is 21. What is the other number?
  31. 31.Find the LCM of 2, 10 and 13.
  32. 32.Find the LCM of 35 and 20.
  33. 33.Find the HCF of 72 and 84.
  34. 34.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 8. What is the other number?
  35. 35.Find the LCM of 25 and 30.
  36. 36.Find the LCM of 8, 15 and 5.
  37. 37.Find the LCM of 9 and 4.
  38. 38.Find the HCF of 15 and 40.
  39. 39.Find the LCM of 3, 4 and 7.
  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. 42
  2. 20
  3. 4
  4. 8
  5. 15
  6. 72
  7. 8
  8. 56
  9. 126
  10. 10
  11. 5
  12. 126
  13. 24
  14. 3
  15. 56
  16. 12
  17. 12
  18. 18
  19. 20
  20. 18
  21. 90
  22. 112
  23. 35
  24. 13
  25. 336
  26. 30
  27. 18
  28. 30
  29. 15
  30. 49
  31. 130
  32. 140
  33. 12
  34. 14
  35. 150
  36. 120
  37. 36
  38. 5
  39. 84
  40. 40

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