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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 989 · 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 70 and 28.
  2. 2.Find the LCM of 12 and 14.
  3. 3.Find the HCF of 45 and 36.
  4. 4.Find the HCF of 105 and 75.
  5. 5.Find the HCF of 14 and 18.
  6. 6.Find the LCM of 6, 2 and 10.
  7. 7.Find the LCM of 14 and 18.
  8. 8.The HCF of two numbers is 2 and their LCM is 60. One of the numbers is 10. What is the other number?
  9. 9.Find the HCF of 117 and 65.
  10. 10.Find the HCF of 9 and 6.
  11. 11.Find the LCM of 3, 13 and 6.
  12. 12.Find the LCM of 7, 12 and 8.
  13. 13.Find the HCF of 32 and 20.
  14. 14.Find the HCF of 8 and 28.
  15. 15.Find the LCM of 5, 7 and 14.
  16. 16.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 24. What is the other number?
  17. 17.Find the HCF of 32 and 12.
  18. 18.Find the LCM of 6, 4 and 12.
  19. 19.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 12. What is the other number?
  20. 20.The HCF of two numbers is 9 and their LCM is 270. One of the numbers is 54. What is the other number?
  21. 21.Find the HCF of 18 and 81.
  22. 22.Find the HCF of 21 and 27.
  23. 23.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 45. What is the other number?
  24. 24.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 14. What is the other number?
  25. 25.Find the HCF of 15 and 12.
  26. 26.Find the LCM of 3, 5 and 2.
  27. 27.Find the HCF of 40 and 32.
  28. 28.Find the LCM of 10 and 15.
  29. 29.Find the LCM of 4, 2 and 3.
  30. 30.Find the LCM of 8, 6 and 5.
  31. 31.Find the HCF of 84 and 24.
  32. 32.Find the LCM of 14 and 16.
  33. 33.Find the LCM of 5 and 2.
  34. 34.Find the HCF of 45 and 18.
  35. 35.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 35. What is the other number?
  36. 36.Find the HCF of 75 and 30.
  37. 37.Find the HCF of 108 and 48.
  38. 38.Find the LCM of 8, 2 and 12.
  39. 39.Find the HCF of 112 and 70.
  40. 40.Find the LCM of 35 and 45.

Answer key

  1. 14
  2. 84
  3. 9
  4. 15
  5. 2
  6. 30
  7. 126
  8. 12
  9. 13
  10. 3
  11. 78
  12. 168
  13. 4
  14. 4
  15. 70
  16. 16
  17. 4
  18. 12
  19. 20
  20. 45
  21. 9
  22. 3
  23. 35
  24. 49
  25. 3
  26. 30
  27. 8
  28. 30
  29. 12
  30. 120
  31. 12
  32. 112
  33. 10
  34. 9
  35. 14
  36. 15
  37. 12
  38. 24
  39. 14
  40. 315

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