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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 835 · 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 16 and 20.
  2. 2.Find the LCM of 12 and 20.
  3. 3.Find the LCM of 14 and 16.
  4. 4.Find the LCM of 11, 9 and 3.
  5. 5.Find the HCF of 26 and 91.
  6. 6.Find the LCM of 2, 9 and 5.
  7. 7.Find the HCF of 45 and 63.
  8. 8.The HCF of two numbers is 7 and their LCM is 294. One of the numbers is 42. What is the other number?
  9. 9.The HCF of two numbers is 3 and their LCM is 189. One of the numbers is 21. What is the other number?
  10. 10.Find the HCF of 9 and 24.
  11. 11.Find the LCM of 36 and 30.
  12. 12.Find the LCM of 35 and 45.
  13. 13.Find the LCM of 8, 11 and 4.
  14. 14.Find the LCM of 48 and 54.
  15. 15.The HCF of two numbers is 2 and their LCM is 40. One of the numbers is 10. What is the other number?
  16. 16.Find the LCM of 9 and 12.
  17. 17.The HCF of two numbers is 4 and their LCM is 80. One of the numbers is 16. What is the other number?
  18. 18.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 18. What is the other number?
  19. 19.Find the LCM of 16 and 28.
  20. 20.Find the HCF of 56 and 42.
  21. 21.Find the HCF of 120 and 135.
  22. 22.Find the LCM of 10, 3 and 4.
  23. 23.The HCF of two numbers is 5 and their LCM is 360. One of the numbers is 40. What is the other number?
  24. 24.Find the LCM of 27 and 6.
  25. 25.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 24. What is the other number?
  26. 26.The HCF of two numbers is 6 and their LCM is 180. One of the numbers is 30. What is the other number?
  27. 27.Find the HCF of 66 and 77.
  28. 28.Find the LCM of 8, 6 and 5.
  29. 29.Find the HCF of 33 and 44.
  30. 30.The HCF of two numbers is 6 and their LCM is 216. One of the numbers is 24. What is the other number?
  31. 31.Find the HCF of 10 and 45.
  32. 32.Find the LCM of 15 and 10.
  33. 33.Find the LCM of 8, 4 and 2.
  34. 34.Find the LCM of 12, 8 and 3.
  35. 35.Find the LCM of 5, 4 and 2.
  36. 36.Find the LCM of 14, 5 and 4.
  37. 37.Find the LCM of 15, 2 and 12.
  38. 38.The HCF of two numbers is 6 and their LCM is 336. One of the numbers is 48. What is the other number?
  39. 39.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 63. What is the other number?
  40. 40.The HCF of two numbers is 8 and their LCM is 320. One of the numbers is 40. What is the other number?

Answer key

  1. 4
  2. 60
  3. 112
  4. 99
  5. 13
  6. 90
  7. 9
  8. 49
  9. 27
  10. 3
  11. 180
  12. 315
  13. 88
  14. 432
  15. 8
  16. 36
  17. 20
  18. 12
  19. 112
  20. 14
  21. 15
  22. 60
  23. 45
  24. 54
  25. 40
  26. 36
  27. 11
  28. 120
  29. 11
  30. 54
  31. 5
  32. 30
  33. 8
  34. 24
  35. 20
  36. 140
  37. 60
  38. 42
  39. 18
  40. 64

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