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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 475 · 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 98 and 112.
  2. 2.Find the LCM of 4, 3 and 7.
  3. 3.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 24. What is the other number?
  4. 4.Find the LCM of 14 and 4.
  5. 5.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 56. What is the other number?
  6. 6.Find the LCM of 4 and 14.
  7. 7.Find the LCM of 14, 2 and 8.
  8. 8.Find the HCF of 14 and 16.
  9. 9.Find the HCF of 27 and 15.
  10. 10.Find the HCF of 98 and 70.
  11. 11.Find the LCM of 7, 10 and 2.
  12. 12.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 20. What is the other number?
  13. 13.Find the HCF of 24 and 56.
  14. 14.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 14. What is the other number?
  15. 15.Find the LCM of 27 and 6.
  16. 16.Find the LCM of 28 and 8.
  17. 17.Find the LCM of 10 and 18.
  18. 18.Find the LCM of 48 and 18.
  19. 19.Find the LCM of 25 and 15.
  20. 20.Find the LCM of 12 and 54.
  21. 21.Find the LCM of 7 and 4.
  22. 22.The HCF of two numbers is 8 and their LCM is 192. One of the numbers is 24. What is the other number?
  23. 23.Find the LCM of 7, 8 and 14.
  24. 24.Find the LCM of 7, 5 and 4.
  25. 25.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 28. What is the other number?
  26. 26.The HCF of two numbers is 6 and their LCM is 216. One of the numbers is 24. What is the other number?
  27. 27.Find the LCM of 12 and 28.
  28. 28.Find the HCF of 25 and 10.
  29. 29.Find the LCM of 36 and 32.
  30. 30.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 81. What is the other number?
  31. 31.Find the LCM of 16 and 10.
  32. 32.Find the LCM of 35 and 20.
  33. 33.Find the HCF of 50 and 70.
  34. 34.Find the LCM of 14 and 16.
  35. 35.Find the LCM of 11, 2 and 9.
  36. 36.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 18. What is the other number?
  37. 37.Find the LCM of 5, 9 and 2.
  38. 38.Find the HCF of 15 and 35.
  39. 39.Find the LCM of 4, 6 and 12.
  40. 40.Find the HCF of 49 and 42.

Answer key

  1. 14
  2. 84
  3. 32
  4. 28
  5. 35
  6. 28
  7. 56
  8. 2
  9. 3
  10. 14
  11. 70
  12. 28
  13. 8
  14. 10
  15. 54
  16. 56
  17. 90
  18. 144
  19. 75
  20. 108
  21. 28
  22. 64
  23. 56
  24. 140
  25. 8
  26. 54
  27. 84
  28. 5
  29. 288
  30. 45
  31. 80
  32. 140
  33. 10
  34. 112
  35. 198
  36. 4
  37. 90
  38. 5
  39. 12
  40. 7

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