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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 884 · 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 9 and their LCM is 162. One of the numbers is 81. What is the other number?
  2. 2.Find the LCM of 24 and 30.
  3. 3.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 20. What is the other number?
  4. 4.Find the LCM of 11, 3 and 6.
  5. 5.Find the LCM of 15, 4 and 10.
  6. 6.Find the HCF of 24 and 27.
  7. 7.Find the HCF of 55 and 22.
  8. 8.Find the LCM of 6, 14 and 4.
  9. 9.Find the HCF of 98 and 56.
  10. 10.The HCF of two numbers is 4 and their LCM is 168. One of the numbers is 28. What is the other number?
  11. 11.Find the HCF of 30 and 20.
  12. 12.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 10. What is the other number?
  13. 13.Find the LCM of 12 and 14.
  14. 14.Find the LCM of 15 and 20.
  15. 15.Find the HCF of 48 and 40.
  16. 16.Find the LCM of 4, 12 and 11.
  17. 17.The HCF of two numbers is 7 and their LCM is 504. One of the numbers is 56. What is the other number?
  18. 18.Find the LCM of 10 and 18.
  19. 19.Find the LCM of 6, 2 and 12.
  20. 20.Find the LCM of 14 and 18.
  21. 21.Find the HCF of 4 and 14.
  22. 22.Find the HCF of 60 and 36.
  23. 23.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 27. What is the other number?
  24. 24.Find the HCF of 70 and 56.
  25. 25.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 16. What is the other number?
  26. 26.Find the HCF of 24 and 40.
  27. 27.Find the HCF of 10 and 25.
  28. 28.Find the LCM of 4, 6 and 9.
  29. 29.Find the LCM of 9, 2 and 7.
  30. 30.Find the LCM of 32 and 36.
  31. 31.Find the HCF of 45 and 18.
  32. 32.Find the LCM of 16 and 14.
  33. 33.Find the LCM of 4 and 14.
  34. 34.Find the LCM of 24 and 9.
  35. 35.Find the HCF of 12 and 8.
  36. 36.Find the LCM of 12 and 54.
  37. 37.Find the LCM of 20 and 8.
  38. 38.Find the LCM of 24 and 20.
  39. 39.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 6. What is the other number?
  40. 40.Find the HCF of 18 and 24.

Answer key

  1. 18
  2. 120
  3. 28
  4. 66
  5. 60
  6. 3
  7. 11
  8. 84
  9. 14
  10. 24
  11. 10
  12. 16
  13. 84
  14. 60
  15. 8
  16. 132
  17. 63
  18. 90
  19. 12
  20. 126
  21. 2
  22. 12
  23. 63
  24. 14
  25. 14
  26. 8
  27. 5
  28. 36
  29. 126
  30. 288
  31. 9
  32. 112
  33. 28
  34. 72
  35. 4
  36. 108
  37. 40
  38. 120
  39. 4
  40. 6

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