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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 676 · 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 84.
  2. 2.Find the LCM of 14 and 8.
  3. 3.Find the HCF of 16 and 6.
  4. 4.The HCF of two numbers is 7 and their LCM is 210. One of the numbers is 35. What is the other number?
  5. 5.Find the LCM of 15 and 18.
  6. 6.Find the LCM of 11, 5 and 10.
  7. 7.Find the LCM of 2, 6 and 3.
  8. 8.Find the HCF of 49 and 28.
  9. 9.Find the LCM of 14, 6 and 12.
  10. 10.Find the HCF of 54 and 24.
  11. 11.The HCF of two numbers is 7 and their LCM is 168. One of the numbers is 56. What is the other number?
  12. 12.Find the LCM of 6, 2 and 3.
  13. 13.Find the HCF of 90 and 75.
  14. 14.Find the LCM of 6, 12 and 4.
  15. 15.Find the HCF of 16 and 36.
  16. 16.The HCF of two numbers is 5 and their LCM is 360. One of the numbers is 40. What is the other number?
  17. 17.Find the LCM of 10 and 35.
  18. 18.Find the LCM of 18 and 8.
  19. 19.Find the HCF of 21 and 14.
  20. 20.Find the HCF of 26 and 65.
  21. 21.Find the LCM of 4, 12 and 11.
  22. 22.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 27. What is the other number?
  23. 23.The HCF of two numbers is 6 and their LCM is 240. One of the numbers is 48. What is the other number?
  24. 24.Find the LCM of 11, 4 and 12.
  25. 25.Find the LCM of 2, 4 and 6.
  26. 26.Find the HCF of 65 and 91.
  27. 27.Find the LCM of 7, 3 and 8.
  28. 28.Find the LCM of 11, 4 and 10.
  29. 29.Find the HCF of 14 and 10.
  30. 30.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 18. What is the other number?
  31. 31.Find the LCM of 9 and 24.
  32. 32.Find the LCM of 9, 8 and 4.
  33. 33.Find the HCF of 10 and 12.
  34. 34.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 10. What is the other number?
  35. 35.The HCF of two numbers is 7 and their LCM is 147. One of the numbers is 49. What is the other number?
  36. 36.Find the LCM of 18 and 15.
  37. 37.Find the HCF of 52 and 65.
  38. 38.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 10. What is the other number?
  39. 39.Find the HCF of 70 and 98.
  40. 40.Find the HCF of 4 and 14.

Answer key

  1. 12
  2. 56
  3. 2
  4. 42
  5. 90
  6. 110
  7. 6
  8. 7
  9. 84
  10. 6
  11. 21
  12. 6
  13. 15
  14. 12
  15. 4
  16. 45
  17. 70
  18. 72
  19. 7
  20. 13
  21. 132
  22. 12
  23. 30
  24. 132
  25. 12
  26. 13
  27. 168
  28. 220
  29. 2
  30. 8
  31. 72
  32. 72
  33. 2
  34. 45
  35. 21
  36. 90
  37. 13
  38. 15
  39. 14
  40. 2

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