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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 699 · 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 28 and 63.
  2. 2.Find the LCM of 24 and 18.
  3. 3.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 35. What is the other number?
  4. 4.The HCF of two numbers is 6 and their LCM is 120. One of the numbers is 24. What is the other number?
  5. 5.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 4. What is the other number?
  6. 6.Find the LCM of 10, 5 and 3.
  7. 7.Find the LCM of 3 and 7.
  8. 8.Find the LCM of 2, 7 and 3.
  9. 9.Find the LCM of 28 and 16.
  10. 10.Find the HCF of 91 and 26.
  11. 11.Find the HCF of 108 and 24.
  12. 12.The HCF of two numbers is 4 and their LCM is 144. One of the numbers is 16. What is the other number?
  13. 13.Find the HCF of 50 and 70.
  14. 14.Find the LCM of 8, 5 and 4.
  15. 15.Find the LCM of 8, 15 and 2.
  16. 16.Find the LCM of 9 and 21.
  17. 17.Find the HCF of 25 and 45.
  18. 18.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 27. What is the other number?
  19. 19.Find the LCM of 20 and 25.
  20. 20.Find the HCF of 90 and 40.
  21. 21.Find the HCF of 35 and 15.
  22. 22.The HCF of two numbers is 6 and their LCM is 180. One of the numbers is 30. What is the other number?
  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 LCM of 7 and 6.
  25. 25.Find the LCM of 9 and 8.
  26. 26.The HCF of two numbers is 5 and their LCM is 210. One of the numbers is 30. What is the other number?
  27. 27.Find the LCM of 18 and 48.
  28. 28.The HCF of two numbers is 7 and their LCM is 105. One of the numbers is 21. What is the other number?
  29. 29.Find the LCM of 6 and 8.
  30. 30.Find the LCM of 14, 5 and 6.
  31. 31.Find the HCF of 21 and 6.
  32. 32.Find the HCF of 72 and 40.
  33. 33.Find the LCM of 10, 5 and 7.
  34. 34.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 9. What is the other number?
  35. 35.Find the LCM of 14, 5 and 4.
  36. 36.Find the HCF of 26 and 65.
  37. 37.Find the LCM of 12 and 54.
  38. 38.Find the HCF of 104 and 65.
  39. 39.Find the HCF of 48 and 36.
  40. 40.Find the HCF of 54 and 30.

Answer key

  1. 7
  2. 72
  3. 15
  4. 30
  5. 14
  6. 30
  7. 21
  8. 42
  9. 112
  10. 13
  11. 12
  12. 36
  13. 10
  14. 40
  15. 120
  16. 63
  17. 5
  18. 36
  19. 100
  20. 10
  21. 5
  22. 36
  23. 10
  24. 42
  25. 72
  26. 35
  27. 144
  28. 35
  29. 24
  30. 210
  31. 3
  32. 8
  33. 70
  34. 12
  35. 140
  36. 13
  37. 108
  38. 13
  39. 12
  40. 6

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