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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 931 · 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 3 and their LCM is 30. One of the numbers is 15. What is the other number?
  2. 2.Find the LCM of 15 and 12.
  3. 3.Find the HCF of 14 and 35.
  4. 4.Find the LCM of 10 and 12.
  5. 5.Find the HCF of 20 and 45.
  6. 6.Find the LCM of 6 and 15.
  7. 7.Find the LCM of 15 and 9.
  8. 8.Find the LCM of 10 and 16.
  9. 9.Find the LCM of 8 and 36.
  10. 10.Find the HCF of 18 and 12.
  11. 11.Find the LCM of 7 and 5.
  12. 12.Find the HCF of 15 and 18.
  13. 13.Find the LCM of 14, 3 and 12.
  14. 14.Find the LCM of 28 and 12.
  15. 15.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 40. What is the other number?
  16. 16.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 14. What is the other number?
  17. 17.Find the HCF of 21 and 35.
  18. 18.Find the HCF of 14 and 63.
  19. 19.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 16. What is the other number?
  20. 20.Find the LCM of 2, 11 and 8.
  21. 21.Find the LCM of 3 and 8.
  22. 22.Find the HCF of 50 and 70.
  23. 23.The HCF of two numbers is 7 and their LCM is 392. One of the numbers is 56. What is the other number?
  24. 24.Find the HCF of 45 and 27.
  25. 25.Find the LCM of 2 and 9.
  26. 26.Find the LCM of 8, 11 and 2.
  27. 27.Find the LCM of 12 and 42.
  28. 28.Find the LCM of 24 and 27.
  29. 29.Find the LCM of 2, 11 and 14.
  30. 30.Find the HCF of 56 and 64.
  31. 31.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 16. What is the other number?
  32. 32.Find the LCM of 7, 2 and 6.
  33. 33.Find the LCM of 12 and 27.
  34. 34.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 18. What is the other number?
  35. 35.Find the LCM of 42 and 30.
  36. 36.Find the HCF of 10 and 18.
  37. 37.Find the LCM of 9 and 4.
  38. 38.Find the LCM of 7 and 3.
  39. 39.Find the HCF of 90 and 50.
  40. 40.Find the LCM of 5, 4 and 2.

Answer key

  1. 6
  2. 60
  3. 7
  4. 60
  5. 5
  6. 30
  7. 45
  8. 80
  9. 72
  10. 6
  11. 35
  12. 3
  13. 84
  14. 84
  15. 16
  16. 12
  17. 7
  18. 7
  19. 72
  20. 88
  21. 24
  22. 10
  23. 49
  24. 9
  25. 18
  26. 88
  27. 84
  28. 216
  29. 154
  30. 8
  31. 28
  32. 42
  33. 108
  34. 12
  35. 210
  36. 2
  37. 36
  38. 21
  39. 10
  40. 20

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