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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 898 · 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.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 28. What is the other number?
  2. 2.Find the LCM of 36 and 8.
  3. 3.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 42. What is the other number?
  4. 4.Find the HCF of 65 and 78.
  5. 5.The HCF of two numbers is 3 and their LCM is 168. One of the numbers is 21. What is the other number?
  6. 6.Find the HCF of 81 and 63.
  7. 7.Find the HCF of 39 and 26.
  8. 8.Find the LCM of 2, 13 and 10.
  9. 9.Find the HCF of 12 and 14.
  10. 10.Find the LCM of 10, 2 and 11.
  11. 11.Find the LCM of 5, 6 and 9.
  12. 12.Find the HCF of 120 and 45.
  13. 13.Find the LCM of 36 and 16.
  14. 14.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 49. What is the other number?
  15. 15.Find the LCM of 5 and 2.
  16. 16.Find the HCF of 90 and 50.
  17. 17.Find the LCM of 20 and 32.
  18. 18.Find the LCM of 12, 2 and 7.
  19. 19.Find the LCM of 8 and 3.
  20. 20.The HCF of two numbers is 5 and their LCM is 225. One of the numbers is 25. What is the other number?
  21. 21.Find the LCM of 24 and 21.
  22. 22.Find the LCM of 11, 3 and 5.
  23. 23.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 18. What is the other number?
  24. 24.Find the HCF of 72 and 56.
  25. 25.Find the LCM of 12 and 16.
  26. 26.Find the LCM of 4 and 18.
  27. 27.Find the LCM of 2, 9 and 5.
  28. 28.Find the LCM of 9 and 4.
  29. 29.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 36. What is the other number?
  30. 30.Find the LCM of 28 and 8.
  31. 31.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 25. What is the other number?
  32. 32.Find the LCM of 5, 4 and 3.
  33. 33.Find the LCM of 14, 5 and 3.
  34. 34.Find the HCF of 77 and 88.
  35. 35.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 36. What is the other number?
  36. 36.Find the HCF of 70 and 30.
  37. 37.Find the HCF of 64 and 24.
  38. 38.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 16. What is the other number?
  39. 39.Find the LCM of 6 and 5.
  40. 40.Find the LCM of 10 and 25.

Answer key

  1. 35
  2. 72
  3. 24
  4. 13
  5. 24
  6. 9
  7. 13
  8. 130
  9. 2
  10. 110
  11. 90
  12. 15
  13. 144
  14. 63
  15. 10
  16. 10
  17. 160
  18. 84
  19. 24
  20. 45
  21. 168
  22. 165
  23. 10
  24. 8
  25. 48
  26. 36
  27. 90
  28. 36
  29. 27
  30. 56
  31. 15
  32. 60
  33. 210
  34. 11
  35. 8
  36. 10
  37. 8
  38. 10
  39. 30
  40. 50

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