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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 563 · 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 8 and their LCM is 288. One of the numbers is 32. What is the other number?
  2. 2.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 25. What is the other number?
  3. 3.Find the LCM of 9 and 6.
  4. 4.Find the LCM of 7, 15 and 2.
  5. 5.Find the HCF of 55 and 22.
  6. 6.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 49. What is the other number?
  7. 7.Find the HCF of 54 and 45.
  8. 8.Find the LCM of 15 and 24.
  9. 9.Find the LCM of 10, 14 and 6.
  10. 10.Find the HCF of 27 and 36.
  11. 11.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 16. What is the other number?
  12. 12.Find the HCF of 15 and 24.
  13. 13.The HCF of two numbers is 4 and their LCM is 144. One of the numbers is 36. What is the other number?
  14. 14.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 35. What is the other number?
  15. 15.Find the HCF of 65 and 91.
  16. 16.Find the LCM of 8, 10 and 2.
  17. 17.Find the LCM of 7, 9 and 2.
  18. 18.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 36. What is the other number?
  19. 19.Find the HCF of 21 and 56.
  20. 20.Find the LCM of 18 and 8.
  21. 21.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 14. What is the other number?
  22. 22.Find the LCM of 6 and 4.
  23. 23.Find the LCM of 11, 3 and 4.
  24. 24.The HCF of two numbers is 6 and their LCM is 120. One of the numbers is 24. What is the other number?
  25. 25.Find the HCF of 91 and 104.
  26. 26.Find the LCM of 4, 8 and 2.
  27. 27.Find the HCF of 22 and 55.
  28. 28.Find the LCM of 20 and 45.
  29. 29.Find the LCM of 9 and 8.
  30. 30.Find the HCF of 36 and 42.
  31. 31.Find the LCM of 14 and 8.
  32. 32.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 16. What is the other number?
  33. 33.Find the HCF of 75 and 45.
  34. 34.Find the LCM of 45 and 25.
  35. 35.Find the LCM of 54 and 24.
  36. 36.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 14. What is the other number?
  37. 37.Find the HCF of 21 and 24.
  38. 38.Find the LCM of 10, 6 and 9.
  39. 39.Find the HCF of 39 and 104.
  40. 40.Find the LCM of 3, 15 and 13.

Answer key

  1. 72
  2. 10
  3. 18
  4. 210
  5. 11
  6. 63
  7. 9
  8. 120
  9. 210
  10. 9
  11. 40
  12. 3
  13. 16
  14. 45
  15. 13
  16. 40
  17. 126
  18. 32
  19. 7
  20. 72
  21. 6
  22. 12
  23. 132
  24. 30
  25. 13
  26. 8
  27. 11
  28. 180
  29. 72
  30. 6
  31. 56
  32. 28
  33. 15
  34. 225
  35. 216
  36. 21
  37. 3
  38. 90
  39. 13
  40. 195

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