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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 317 · 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 24 and 16.
  2. 2.The HCF of two numbers is 6 and their LCM is 120. One of the numbers is 24. What is the other number?
  3. 3.Find the LCM of 45 and 25.
  4. 4.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 18. What is the other number?
  5. 5.Find the HCF of 12 and 54.
  6. 6.Find the LCM of 4, 12 and 13.
  7. 7.Find the LCM of 14, 2 and 3.
  8. 8.Find the LCM of 42 and 24.
  9. 9.Find the HCF of 20 and 36.
  10. 10.Find the HCF of 48 and 40.
  11. 11.Find the HCF of 25 and 45.
  12. 12.Find the HCF of 42 and 56.
  13. 13.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 15. What is the other number?
  14. 14.Find the HCF of 33 and 77.
  15. 15.Find the HCF of 26 and 65.
  16. 16.Find the HCF of 126 and 56.
  17. 17.Find the LCM of 3 and 5.
  18. 18.The HCF of two numbers is 8 and their LCM is 320. One of the numbers is 64. What is the other number?
  19. 19.Find the LCM of 7 and 6.
  20. 20.Find the HCF of 56 and 70.
  21. 21.Find the LCM of 15, 5 and 10.
  22. 22.Find the HCF of 12 and 8.
  23. 23.Find the LCM of 12, 4 and 15.
  24. 24.The HCF of two numbers is 4 and their LCM is 252. One of the numbers is 28. What is the other number?
  25. 25.Find the LCM of 2 and 9.
  26. 26.Find the HCF of 28 and 42.
  27. 27.Find the LCM of 6, 4 and 11.
  28. 28.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 32. What is the other number?
  29. 29.Find the HCF of 49 and 21.
  30. 30.Find the LCM of 4, 6 and 8.
  31. 31.Find the LCM of 4, 12 and 2.
  32. 32.Find the LCM of 6, 10 and 4.
  33. 33.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 10. What is the other number?
  34. 34.Find the LCM of 30 and 36.
  35. 35.Find the LCM of 42 and 18.
  36. 36.Find the LCM of 20 and 28.
  37. 37.Find the HCF of 48 and 108.
  38. 38.Find the LCM of 7, 5 and 4.
  39. 39.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 35. What is the other number?
  40. 40.Find the LCM of 15, 12 and 2.

Answer key

  1. 8
  2. 30
  3. 225
  4. 42
  5. 6
  6. 156
  7. 42
  8. 168
  9. 4
  10. 8
  11. 5
  12. 14
  13. 21
  14. 11
  15. 13
  16. 14
  17. 15
  18. 40
  19. 42
  20. 14
  21. 30
  22. 4
  23. 60
  24. 36
  25. 18
  26. 14
  27. 132
  28. 28
  29. 7
  30. 24
  31. 12
  32. 60
  33. 6
  34. 180
  35. 126
  36. 140
  37. 12
  38. 140
  39. 15
  40. 60

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