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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 581 · 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 576. One of the numbers is 64. What is the other number?
  2. 2.Find the LCM of 14, 13 and 7.
  3. 3.Find the HCF of 88 and 77.
  4. 4.Find the LCM of 6, 3 and 5.
  5. 5.Find the LCM of 12 and 9.
  6. 6.Find the LCM of 4 and 10.
  7. 7.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 28. What is the other number?
  8. 8.Find the LCM of 2, 14 and 10.
  9. 9.Find the LCM of 18 and 24.
  10. 10.Find the HCF of 126 and 28.
  11. 11.Find the LCM of 6 and 15.
  12. 12.Find the HCF of 32 and 24.
  13. 13.Find the HCF of 35 and 21.
  14. 14.Find the LCM of 12 and 27.
  15. 15.Find the LCM of 7, 4 and 2.
  16. 16.Find the LCM of 4, 8 and 7.
  17. 17.Find the LCM of 3, 8 and 6.
  18. 18.The HCF of two numbers is 5 and their LCM is 210. One of the numbers is 30. What is the other number?
  19. 19.Find the HCF of 104 and 65.
  20. 20.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 72. What is the other number?
  21. 21.Find the LCM of 5, 3 and 6.
  22. 22.Find the LCM of 8, 6 and 7.
  23. 23.Find the LCM of 14, 2 and 4.
  24. 24.Find the HCF of 21 and 28.
  25. 25.Find the LCM of 35 and 45.
  26. 26.Find the LCM of 5 and 3.
  27. 27.Find the HCF of 91 and 117.
  28. 28.Find the LCM of 16 and 6.
  29. 29.The HCF of two numbers is 5 and their LCM is 200. One of the numbers is 25. What is the other number?
  30. 30.Find the LCM of 7, 2 and 8.
  31. 31.Find the LCM of 4, 6 and 3.
  32. 32.Find the HCF of 30 and 20.
  33. 33.Find the LCM of 14 and 10.
  34. 34.Find the LCM of 12 and 18.
  35. 35.Find the LCM of 4, 13 and 8.
  36. 36.Find the HCF of 18 and 14.
  37. 37.The HCF of two numbers is 8 and their LCM is 320. One of the numbers is 64. What is the other number?
  38. 38.Find the LCM of 18 and 21.
  39. 39.Find the LCM of 20 and 12.
  40. 40.Find the HCF of 20 and 25.

Answer key

  1. 72
  2. 182
  3. 11
  4. 30
  5. 36
  6. 20
  7. 20
  8. 70
  9. 72
  10. 14
  11. 30
  12. 8
  13. 7
  14. 108
  15. 28
  16. 56
  17. 24
  18. 35
  19. 13
  20. 63
  21. 30
  22. 168
  23. 28
  24. 7
  25. 315
  26. 15
  27. 13
  28. 48
  29. 40
  30. 56
  31. 12
  32. 10
  33. 70
  34. 36
  35. 104
  36. 2
  37. 40
  38. 126
  39. 60
  40. 5

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