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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 541 · 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 4 and their LCM is 144. One of the numbers is 16. What is the other number?
  2. 2.The HCF of two numbers is 8 and their LCM is 280. One of the numbers is 40. What is the other number?
  3. 3.Find the LCM of 12, 14 and 8.
  4. 4.Find the HCF of 18 and 16.
  5. 5.Find the LCM of 18 and 21.
  6. 6.Find the HCF of 72 and 60.
  7. 7.The HCF of two numbers is 9 and their LCM is 378. One of the numbers is 63. What is the other number?
  8. 8.Find the LCM of 21 and 6.
  9. 9.Find the HCF of 75 and 60.
  10. 10.Find the HCF of 12 and 18.
  11. 11.Find the LCM of 24 and 9.
  12. 12.Find the LCM of 10, 12 and 8.
  13. 13.Find the HCF of 22 and 55.
  14. 14.Find the HCF of 36 and 30.
  15. 15.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 10. What is the other number?
  16. 16.Find the HCF of 45 and 81.
  17. 17.Find the LCM of 5, 15 and 2.
  18. 18.Find the HCF of 72 and 45.
  19. 19.Find the LCM of 15, 11 and 5.
  20. 20.Find the LCM of 6 and 8.
  21. 21.Find the HCF of 81 and 18.
  22. 22.Find the HCF of 16 and 14.
  23. 23.Find the HCF of 25 and 10.
  24. 24.Find the LCM of 2, 10 and 5.
  25. 25.Find the LCM of 11, 4 and 6.
  26. 26.Find the LCM of 3, 14 and 12.
  27. 27.Find the HCF of 126 and 28.
  28. 28.Find the HCF of 39 and 52.
  29. 29.Find the LCM of 12, 2 and 15.
  30. 30.Find the LCM of 3, 2 and 13.
  31. 31.Find the LCM of 15, 8 and 10.
  32. 32.Find the HCF of 104 and 91.
  33. 33.Find the LCM of 4 and 6.
  34. 34.Find the HCF of 15 and 20.
  35. 35.Find the LCM of 10, 2 and 7.
  36. 36.Find the LCM of 5, 14 and 7.
  37. 37.Find the HCF of 70 and 40.
  38. 38.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 18. What is the other number?
  39. 39.Find the HCF of 28 and 36.
  40. 40.The HCF of two numbers is 6 and their LCM is 180. One of the numbers is 36. What is the other number?

Answer key

  1. 36
  2. 56
  3. 168
  4. 2
  5. 126
  6. 12
  7. 54
  8. 42
  9. 15
  10. 6
  11. 72
  12. 120
  13. 11
  14. 6
  15. 35
  16. 9
  17. 30
  18. 9
  19. 165
  20. 24
  21. 9
  22. 2
  23. 5
  24. 10
  25. 132
  26. 84
  27. 14
  28. 13
  29. 60
  30. 78
  31. 120
  32. 13
  33. 12
  34. 5
  35. 70
  36. 70
  37. 10
  38. 16
  39. 4
  40. 30

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