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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 839 · 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 5 and their LCM is 105. One of the numbers is 35. What is the other number?
  2. 2.Find the LCM of 4, 3 and 8.
  3. 3.Find the HCF of 18 and 12.
  4. 4.Find the LCM of 35 and 30.
  5. 5.Find the HCF of 26 and 117.
  6. 6.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 32. What is the other number?
  7. 7.Find the HCF of 36 and 81.
  8. 8.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 63. What is the other number?
  9. 9.Find the HCF of 36 and 42.
  10. 10.Find the LCM of 48 and 18.
  11. 11.Find the HCF of 108 and 24.
  12. 12.Find the LCM of 6, 7 and 4.
  13. 13.Find the LCM of 4, 9 and 12.
  14. 14.Find the LCM of 10 and 8.
  15. 15.Find the HCF of 42 and 12.
  16. 16.Find the LCM of 40 and 15.
  17. 17.Find the HCF of 27 and 45.
  18. 18.Find the LCM of 12 and 30.
  19. 19.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 27. What is the other number?
  20. 20.Find the LCM of 2, 13 and 4.
  21. 21.Find the LCM of 5, 8 and 2.
  22. 22.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 9. What is the other number?
  23. 23.Find the LCM of 10 and 18.
  24. 24.Find the HCF of 28 and 8.
  25. 25.Find the HCF of 28 and 63.
  26. 26.The HCF of two numbers is 8 and their LCM is 576. One of the numbers is 64. What is the other number?
  27. 27.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 16. What is the other number?
  28. 28.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 18. What is the other number?
  29. 29.Find the HCF of 6 and 8.
  30. 30.Find the HCF of 65 and 78.
  31. 31.Find the LCM of 12 and 28.
  32. 32.Find the HCF of 84 and 98.
  33. 33.Find the HCF of 35 and 63.
  34. 34.Find the HCF of 18 and 4.
  35. 35.Find the LCM of 10, 6 and 7.
  36. 36.Find the LCM of 2, 7 and 14.
  37. 37.Find the LCM of 12 and 15.
  38. 38.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 35. What is the other number?
  39. 39.Find the HCF of 75 and 90.
  40. 40.Find the HCF of 10 and 8.

Answer key

  1. 15
  2. 24
  3. 6
  4. 210
  5. 13
  6. 24
  7. 9
  8. 27
  9. 6
  10. 144
  11. 12
  12. 84
  13. 36
  14. 40
  15. 6
  16. 120
  17. 9
  18. 60
  19. 36
  20. 52
  21. 40
  22. 24
  23. 90
  24. 4
  25. 7
  26. 72
  27. 6
  28. 16
  29. 2
  30. 13
  31. 84
  32. 14
  33. 7
  34. 2
  35. 210
  36. 14
  37. 60
  38. 40
  39. 15
  40. 2

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