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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 962 · 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 60 and 24.
  2. 2.Find the LCM of 18 and 14.
  3. 3.The HCF of two numbers is 8 and their LCM is 360. One of the numbers is 72. What is the other number?
  4. 4.Find the LCM of 9, 6 and 3.
  5. 5.Find the LCM of 2, 14 and 7.
  6. 6.Find the LCM of 16 and 18.
  7. 7.Find the HCF of 56 and 35.
  8. 8.Find the HCF of 40 and 48.
  9. 9.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 14. What is the other number?
  10. 10.Find the HCF of 117 and 91.
  11. 11.Find the LCM of 2, 11 and 4.
  12. 12.Find the LCM of 10, 12 and 4.
  13. 13.Find the HCF of 50 and 30.
  14. 14.Find the LCM of 4, 6 and 5.
  15. 15.Find the LCM of 6, 2 and 10.
  16. 16.Find the LCM of 2, 3 and 15.
  17. 17.Find the LCM of 36 and 8.
  18. 18.Find the LCM of 15 and 10.
  19. 19.Find the HCF of 36 and 24.
  20. 20.Find the HCF of 33 and 77.
  21. 21.Find the LCM of 15 and 9.
  22. 22.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 32. What is the other number?
  23. 23.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 21. What is the other number?
  24. 24.Find the HCF of 20 and 24.
  25. 25.Find the LCM of 7, 15 and 2.
  26. 26.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 21. What is the other number?
  27. 27.Find the LCM of 6 and 5.
  28. 28.Find the LCM of 48 and 54.
  29. 29.Find the LCM of 4 and 6.
  30. 30.Find the LCM of 4, 14 and 10.
  31. 31.Find the LCM of 36 and 16.
  32. 32.Find the LCM of 4, 10 and 8.
  33. 33.The HCF of two numbers is 9 and their LCM is 648. One of the numbers is 81. What is the other number?
  34. 34.Find the LCM of 6, 10 and 12.
  35. 35.Find the LCM of 27 and 6.
  36. 36.Find the LCM of 15, 10 and 2.
  37. 37.Find the HCF of 30 and 70.
  38. 38.Find the HCF of 14 and 63.
  39. 39.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 42. What is the other number?
  40. 40.Find the LCM of 54 and 42.

Answer key

  1. 12
  2. 126
  3. 40
  4. 18
  5. 14
  6. 144
  7. 7
  8. 8
  9. 4
  10. 13
  11. 44
  12. 60
  13. 10
  14. 60
  15. 30
  16. 30
  17. 72
  18. 30
  19. 12
  20. 11
  21. 45
  22. 40
  23. 14
  24. 4
  25. 210
  26. 9
  27. 30
  28. 432
  29. 12
  30. 140
  31. 144
  32. 40
  33. 72
  34. 60
  35. 54
  36. 30
  37. 10
  38. 7
  39. 18
  40. 378

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