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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 950 · 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 15 and 27.
  2. 2.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 12. What is the other number?
  3. 3.Find the HCF of 28 and 21.
  4. 4.Find the LCM of 8, 15 and 3.
  5. 5.Find the HCF of 20 and 28.
  6. 6.Find the HCF of 12 and 54.
  7. 7.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 16. What is the other number?
  8. 8.Find the HCF of 40 and 24.
  9. 9.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 35. What is the other number?
  10. 10.Find the HCF of 120 and 135.
  11. 11.Find the HCF of 15 and 6.
  12. 12.Find the HCF of 60 and 70.
  13. 13.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 6. What is the other number?
  14. 14.Find the LCM of 20 and 15.
  15. 15.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 8. What is the other number?
  16. 16.Find the HCF of 8 and 14.
  17. 17.Find the LCM of 9, 2 and 7.
  18. 18.Find the LCM of 12 and 10.
  19. 19.Find the LCM of 2, 9 and 14.
  20. 20.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 18. What is the other number?
  21. 21.Find the HCF of 30 and 20.
  22. 22.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 14. What is the other number?
  23. 23.Find the LCM of 12 and 18.
  24. 24.Find the LCM of 4, 2 and 14.
  25. 25.Find the HCF of 54 and 24.
  26. 26.Find the LCM of 8, 15 and 4.
  27. 27.Find the LCM of 9, 14 and 3.
  28. 28.Find the LCM of 8 and 6.
  29. 29.Find the LCM of 25 and 40.
  30. 30.Find the HCF of 36 and 28.
  31. 31.The HCF of two numbers is 9 and their LCM is 648. One of the numbers is 81. What is the other number?
  32. 32.Find the LCM of 10, 15 and 5.
  33. 33.The HCF of two numbers is 6 and their LCM is 270. One of the numbers is 54. What is the other number?
  34. 34.Find the HCF of 90 and 70.
  35. 35.Find the LCM of 4, 14 and 3.
  36. 36.Find the LCM of 14, 7 and 12.
  37. 37.Find the HCF of 75 and 90.
  38. 38.Find the LCM of 2, 10 and 8.
  39. 39.Find the LCM of 7, 5 and 10.
  40. 40.Find the LCM of 9 and 24.

Answer key

  1. 3
  2. 15
  3. 7
  4. 120
  5. 4
  6. 6
  7. 40
  8. 8
  9. 63
  10. 15
  11. 3
  12. 10
  13. 10
  14. 60
  15. 14
  16. 2
  17. 126
  18. 60
  19. 126
  20. 8
  21. 10
  22. 21
  23. 36
  24. 28
  25. 6
  26. 120
  27. 126
  28. 24
  29. 200
  30. 4
  31. 72
  32. 30
  33. 30
  34. 10
  35. 84
  36. 84
  37. 15
  38. 40
  39. 70
  40. 72

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