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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 842 · 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 72 and 27.
  2. 2.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 12. What is the other number?
  3. 3.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 45. What is the other number?
  4. 4.Find the LCM of 7 and 4.
  5. 5.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 16. What is the other number?
  6. 6.Find the LCM of 6 and 4.
  7. 7.Find the LCM of 4, 14 and 10.
  8. 8.Find the HCF of 24 and 64.
  9. 9.Find the HCF of 64 and 40.
  10. 10.Find the LCM of 6 and 5.
  11. 11.Find the LCM of 8, 5 and 10.
  12. 12.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 20. What is the other number?
  13. 13.Find the LCM of 3, 6 and 11.
  14. 14.Find the LCM of 2, 11 and 12.
  15. 15.Find the LCM of 25 and 40.
  16. 16.Find the LCM of 14, 7 and 3.
  17. 17.Find the LCM of 5 and 7.
  18. 18.Find the HCF of 15 and 9.
  19. 19.Find the HCF of 117 and 65.
  20. 20.Find the LCM of 3, 9 and 8.
  21. 21.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 27. What is the other number?
  22. 22.Find the HCF of 10 and 18.
  23. 23.The HCF of two numbers is 4 and their LCM is 160. One of the numbers is 32. What is the other number?
  24. 24.The HCF of two numbers is 9 and their LCM is 315. One of the numbers is 63. What is the other number?
  25. 25.Find the LCM of 5, 2 and 14.
  26. 26.The HCF of two numbers is 6 and their LCM is 270. One of the numbers is 54. What is the other number?
  27. 27.Find the HCF of 42 and 112.
  28. 28.Find the HCF of 40 and 72.
  29. 29.Find the HCF of 54 and 63.
  30. 30.Find the HCF of 40 and 30.
  31. 31.Find the LCM of 15, 5 and 3.
  32. 32.The HCF of two numbers is 8 and their LCM is 112. One of the numbers is 56. What is the other number?
  33. 33.Find the LCM of 10 and 18.
  34. 34.Find the LCM of 3, 10 and 7.
  35. 35.Find the HCF of 70 and 28.
  36. 36.Find the LCM of 7, 4 and 3.
  37. 37.Find the LCM of 18 and 42.
  38. 38.Find the LCM of 15 and 27.
  39. 39.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 36. What is the other number?
  40. 40.Find the LCM of 9, 6 and 10.

Answer key

  1. 9
  2. 27
  3. 36
  4. 28
  5. 6
  6. 12
  7. 140
  8. 8
  9. 8
  10. 30
  11. 40
  12. 15
  13. 66
  14. 132
  15. 200
  16. 42
  17. 35
  18. 3
  19. 13
  20. 72
  21. 24
  22. 2
  23. 20
  24. 45
  25. 70
  26. 30
  27. 14
  28. 8
  29. 9
  30. 10
  31. 15
  32. 16
  33. 90
  34. 210
  35. 14
  36. 84
  37. 126
  38. 135
  39. 63
  40. 90

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