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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 796 · 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 12 and 30.
  2. 2.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 36. What is the other number?
  3. 3.Find the HCF of 90 and 20.
  4. 4.Find the HCF of 6 and 10.
  5. 5.Find the LCM of 8, 7 and 6.
  6. 6.Find the LCM of 5, 7 and 15.
  7. 7.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 40. What is the other number?
  8. 8.Find the HCF of 4 and 6.
  9. 9.Find the LCM of 30 and 18.
  10. 10.Find the LCM of 9, 6 and 11.
  11. 11.Find the HCF of 108 and 84.
  12. 12.The HCF of two numbers is 6 and their LCM is 180. One of the numbers is 30. What is the other number?
  13. 13.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 63. What is the other number?
  14. 14.Find the HCF of 15 and 21.
  15. 15.Find the HCF of 91 and 117.
  16. 16.Find the HCF of 91 and 39.
  17. 17.Find the LCM of 8, 3 and 15.
  18. 18.Find the HCF of 21 and 15.
  19. 19.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 28. What is the other number?
  20. 20.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 72. What is the other number?
  21. 21.Find the LCM of 11, 2 and 14.
  22. 22.Find the LCM of 2, 12 and 8.
  23. 23.Find the LCM of 20 and 8.
  24. 24.Find the LCM of 10 and 16.
  25. 25.Find the LCM of 18 and 30.
  26. 26.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 81. What is the other number?
  27. 27.Find the LCM of 42 and 24.
  28. 28.Find the LCM of 6, 12 and 13.
  29. 29.Find the LCM of 10, 9 and 15.
  30. 30.Find the HCF of 60 and 135.
  31. 31.Find the HCF of 45 and 81.
  32. 32.Find the HCF of 15 and 9.
  33. 33.Find the LCM of 4, 14 and 5.
  34. 34.Find the LCM of 3, 9 and 10.
  35. 35.Find the LCM of 27 and 6.
  36. 36.Find the HCF of 52 and 91.
  37. 37.Find the LCM of 10, 11 and 2.
  38. 38.Find the HCF of 45 and 105.
  39. 39.Find the LCM of 4 and 9.
  40. 40.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 9. What is the other number?

Answer key

  1. 6
  2. 32
  3. 10
  4. 2
  5. 168
  6. 105
  7. 32
  8. 2
  9. 90
  10. 198
  11. 12
  12. 36
  13. 49
  14. 3
  15. 13
  16. 13
  17. 120
  18. 3
  19. 16
  20. 63
  21. 154
  22. 24
  23. 40
  24. 80
  25. 90
  26. 45
  27. 168
  28. 156
  29. 90
  30. 15
  31. 9
  32. 3
  33. 140
  34. 90
  35. 54
  36. 13
  37. 110
  38. 15
  39. 36
  40. 12

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