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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 877 · 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 LCM of 9, 2 and 13.
  2. 2.Find the HCF of 30 and 42.
  3. 3.Find the LCM of 9 and 6.
  4. 4.Find the HCF of 15 and 24.
  5. 5.Find the HCF of 12 and 15.
  6. 6.Find the HCF of 56 and 70.
  7. 7.The HCF of two numbers is 4 and their LCM is 120. One of the numbers is 20. What is the other number?
  8. 8.Find the LCM of 18 and 24.
  9. 9.Find the HCF of 52 and 39.
  10. 10.Find the LCM of 45 and 40.
  11. 11.Find the LCM of 11, 4 and 12.
  12. 12.Find the LCM of 7, 3 and 4.
  13. 13.The HCF of two numbers is 5 and their LCM is 100. One of the numbers is 25. What is the other number?
  14. 14.Find the LCM of 30 and 24.
  15. 15.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 21. What is the other number?
  16. 16.Find the LCM of 10, 6 and 3.
  17. 17.Find the LCM of 2, 8 and 5.
  18. 18.Find the HCF of 120 and 135.
  19. 19.Find the HCF of 4 and 18.
  20. 20.Find the HCF of 27 and 21.
  21. 21.The HCF of two numbers is 5 and their LCM is 360. One of the numbers is 45. What is the other number?
  22. 22.Find the HCF of 28 and 32.
  23. 23.Find the HCF of 60 and 108.
  24. 24.Find the HCF of 48 and 36.
  25. 25.Find the HCF of 27 and 63.
  26. 26.Find the LCM of 9 and 21.
  27. 27.Find the LCM of 2, 11 and 7.
  28. 28.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 9. What is the other number?
  29. 29.The HCF of two numbers is 8 and their LCM is 576. One of the numbers is 72. What is the other number?
  30. 30.Find the HCF of 10 and 12.
  31. 31.Find the HCF of 56 and 42.
  32. 32.Find the HCF of 52 and 91.
  33. 33.Find the HCF of 108 and 60.
  34. 34.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 63. What is the other number?
  35. 35.Find the LCM of 4, 12 and 8.
  36. 36.Find the LCM of 5, 9 and 3.
  37. 37.The HCF of two numbers is 8 and their LCM is 280. One of the numbers is 40. What is the other number?
  38. 38.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 40. What is the other number?
  39. 39.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 45. What is the other number?
  40. 40.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 16. What is the other number?

Answer key

  1. 234
  2. 6
  3. 18
  4. 3
  5. 3
  6. 14
  7. 24
  8. 72
  9. 13
  10. 360
  11. 132
  12. 84
  13. 20
  14. 120
  15. 9
  16. 30
  17. 40
  18. 15
  19. 2
  20. 3
  21. 40
  22. 4
  23. 12
  24. 12
  25. 9
  26. 63
  27. 154
  28. 15
  29. 64
  30. 2
  31. 14
  32. 13
  33. 12
  34. 18
  35. 24
  36. 45
  37. 56
  38. 24
  39. 35
  40. 12

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