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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 905 · 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 63 and 35.
  2. 2.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 10. What is the other number?
  3. 3.Find the HCF of 30 and 25.
  4. 4.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 4. What is the other number?
  5. 5.The HCF of two numbers is 6 and their LCM is 270. One of the numbers is 30. What is the other number?
  6. 6.The HCF of two numbers is 7 and their LCM is 294. One of the numbers is 42. What is the other number?
  7. 7.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 8. What is the other number?
  8. 8.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 18. What is the other number?
  9. 9.Find the LCM of 3, 5 and 13.
  10. 10.The HCF of two numbers is 6 and their LCM is 180. One of the numbers is 36. What is the other number?
  11. 11.Find the LCM of 8 and 12.
  12. 12.Find the LCM of 3, 10 and 4.
  13. 13.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 27. What is the other number?
  14. 14.Find the LCM of 6, 7 and 14.
  15. 15.The HCF of two numbers is 8 and their LCM is 280. One of the numbers is 56. What is the other number?
  16. 16.Find the LCM of 3, 9 and 10.
  17. 17.Find the HCF of 45 and 36.
  18. 18.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 63. What is the other number?
  19. 19.Find the LCM of 14, 3 and 15.
  20. 20.Find the LCM of 25 and 20.
  21. 21.Find the HCF of 81 and 36.
  22. 22.The HCF of two numbers is 7 and their LCM is 210. One of the numbers is 35. What is the other number?
  23. 23.Find the HCF of 112 and 70.
  24. 24.Find the LCM of 7 and 5.
  25. 25.Find the HCF of 15 and 24.
  26. 26.Find the LCM of 10, 15 and 12.
  27. 27.Find the LCM of 7 and 2.
  28. 28.Find the HCF of 16 and 40.
  29. 29.Find the LCM of 4 and 10.
  30. 30.Find the HCF of 120 and 135.
  31. 31.Find the LCM of 4 and 6.
  32. 32.Find the LCM of 8 and 7.
  33. 33.Find the LCM of 14 and 4.
  34. 34.Find the LCM of 3, 6 and 13.
  35. 35.Find the HCF of 50 and 70.
  36. 36.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 9. What is the other number?
  37. 37.Find the LCM of 24 and 9.
  38. 38.Find the LCM of 13, 2 and 8.
  39. 39.Find the LCM of 6 and 5.
  40. 40.Find the LCM of 14, 3 and 5.

Answer key

  1. 7
  2. 25
  3. 5
  4. 18
  5. 54
  6. 49
  7. 6
  8. 4
  9. 195
  10. 30
  11. 24
  12. 60
  13. 18
  14. 42
  15. 40
  16. 90
  17. 9
  18. 18
  19. 210
  20. 100
  21. 9
  22. 42
  23. 14
  24. 35
  25. 3
  26. 60
  27. 14
  28. 8
  29. 20
  30. 15
  31. 12
  32. 56
  33. 28
  34. 78
  35. 10
  36. 15
  37. 72
  38. 104
  39. 30
  40. 210

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