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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 87 · 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 9 and their LCM is 90. One of the numbers is 18. What is the other number?
  2. 2.Find the HCF of 10 and 45.
  3. 3.Find the HCF of 8 and 18.
  4. 4.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 25. What is the other number?
  5. 5.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 32. What is the other number?
  6. 6.The HCF of two numbers is 5 and their LCM is 175. One of the numbers is 35. What is the other number?
  7. 7.Find the LCM of 8, 5 and 15.
  8. 8.Find the HCF of 20 and 32.
  9. 9.Find the LCM of 15, 4 and 5.
  10. 10.Find the LCM of 3, 14 and 15.
  11. 11.Find the LCM of 7, 3 and 11.
  12. 12.Find the LCM of 2 and 3.
  13. 13.The HCF of two numbers is 9 and their LCM is 324. One of the numbers is 36. What is the other number?
  14. 14.Find the LCM of 9, 7 and 2.
  15. 15.Find the LCM of 2, 9 and 7.
  16. 16.Find the HCF of 56 and 48.
  17. 17.Find the LCM of 3, 4 and 5.
  18. 18.Find the LCM of 18 and 42.
  19. 19.Find the HCF of 63 and 27.
  20. 20.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 20. What is the other number?
  21. 21.Find the HCF of 16 and 40.
  22. 22.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 24. What is the other number?
  23. 23.Find the HCF of 36 and 16.
  24. 24.Find the HCF of 15 and 35.
  25. 25.Find the HCF of 135 and 75.
  26. 26.Find the LCM of 7, 10 and 6.
  27. 27.Find the LCM of 10, 14 and 6.
  28. 28.Find the LCM of 20 and 24.
  29. 29.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 28. What is the other number?
  30. 30.Find the LCM of 12, 2 and 4.
  31. 31.Find the LCM of 24 and 54.
  32. 32.Find the LCM of 12, 3 and 14.
  33. 33.Find the LCM of 14 and 18.
  34. 34.Find the LCM of 24 and 21.
  35. 35.Find the LCM of 6 and 8.
  36. 36.Find the HCF of 70 and 56.
  37. 37.Find the LCM of 12, 7 and 3.
  38. 38.Find the HCF of 6 and 4.
  39. 39.Find the LCM of 4, 7 and 6.
  40. 40.Find the HCF of 126 and 98.

Answer key

  1. 45
  2. 5
  3. 2
  4. 10
  5. 36
  6. 25
  7. 120
  8. 4
  9. 60
  10. 210
  11. 231
  12. 6
  13. 81
  14. 126
  15. 126
  16. 8
  17. 60
  18. 126
  19. 9
  20. 12
  21. 8
  22. 27
  23. 4
  24. 5
  25. 15
  26. 210
  27. 210
  28. 120
  29. 20
  30. 12
  31. 216
  32. 84
  33. 126
  34. 168
  35. 24
  36. 14
  37. 84
  38. 2
  39. 84
  40. 14

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