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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 924 · 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 8 and their LCM is 320. One of the numbers is 40. What is the other number?
  2. 2.Find the LCM of 6 and 8.
  3. 3.Find the HCF of 60 and 72.
  4. 4.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 27. What is the other number?
  5. 5.Find the LCM of 5, 7 and 4.
  6. 6.The HCF of two numbers is 5 and their LCM is 360. One of the numbers is 45. What is the other number?
  7. 7.Find the LCM of 5 and 3.
  8. 8.Find the HCF of 15 and 35.
  9. 9.Find the HCF of 45 and 72.
  10. 10.Find the LCM of 7, 12 and 6.
  11. 11.Find the LCM of 10 and 8.
  12. 12.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 15. What is the other number?
  13. 13.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 14. What is the other number?
  14. 14.Find the HCF of 91 and 52.
  15. 15.Find the LCM of 3, 7 and 5.
  16. 16.Find the HCF of 27 and 45.
  17. 17.Find the LCM of 36 and 42.
  18. 18.Find the LCM of 9 and 8.
  19. 19.Find the LCM of 5, 15 and 3.
  20. 20.Find the LCM of 7 and 4.
  21. 21.Find the HCF of 12 and 28.
  22. 22.Find the HCF of 33 and 77.
  23. 23.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 45. What is the other number?
  24. 24.Find the HCF of 98 and 70.
  25. 25.Find the LCM of 16 and 12.
  26. 26.Find the HCF of 81 and 72.
  27. 27.Find the HCF of 48 and 18.
  28. 28.Find the HCF of 90 and 40.
  29. 29.Find the LCM of 4, 6 and 13.
  30. 30.Find the LCM of 15, 2 and 3.
  31. 31.Find the HCF of 30 and 105.
  32. 32.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 45. What is the other number?
  33. 33.Find the LCM of 4, 13 and 8.
  34. 34.Find the LCM of 15 and 20.
  35. 35.Find the LCM of 8 and 3.
  36. 36.The HCF of two numbers is 3 and their LCM is 189. One of the numbers is 27. What is the other number?
  37. 37.Find the LCM of 12 and 18.
  38. 38.Find the HCF of 120 and 45.
  39. 39.Find the LCM of 9 and 15.
  40. 40.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 4. What is the other number?

Answer key

  1. 64
  2. 24
  3. 12
  4. 24
  5. 140
  6. 40
  7. 15
  8. 5
  9. 9
  10. 84
  11. 40
  12. 20
  13. 4
  14. 13
  15. 105
  16. 9
  17. 252
  18. 72
  19. 15
  20. 28
  21. 4
  22. 11
  23. 81
  24. 14
  25. 48
  26. 9
  27. 6
  28. 10
  29. 156
  30. 30
  31. 15
  32. 10
  33. 104
  34. 60
  35. 24
  36. 21
  37. 36
  38. 15
  39. 45
  40. 6

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