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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 382 · 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 6 and their LCM is 72. One of the numbers is 18. What is the other number?
  2. 2.Find the HCF of 75 and 60.
  3. 3.Find the HCF of 70 and 50.
  4. 4.The HCF of two numbers is 7 and their LCM is 168. One of the numbers is 56. What is the other number?
  5. 5.Find the LCM of 15 and 21.
  6. 6.Find the HCF of 28 and 126.
  7. 7.Find the HCF of 105 and 90.
  8. 8.Find the HCF of 28 and 21.
  9. 9.Find the HCF of 90 and 80.
  10. 10.Find the LCM of 30 and 18.
  11. 11.Find the LCM of 48 and 30.
  12. 12.Find the HCF of 22 and 33.
  13. 13.Find the LCM of 12 and 30.
  14. 14.Find the LCM of 20 and 16.
  15. 15.Find the LCM of 15 and 27.
  16. 16.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 4. What is the other number?
  17. 17.Find the HCF of 77 and 22.
  18. 18.Find the LCM of 28 and 8.
  19. 19.Find the LCM of 12 and 9.
  20. 20.Find the LCM of 10, 5 and 12.
  21. 21.Find the LCM of 3 and 2.
  22. 22.Find the LCM of 15 and 9.
  23. 23.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 45. What is the other number?
  24. 24.Find the LCM of 20 and 45.
  25. 25.Find the LCM of 7 and 6.
  26. 26.Find the LCM of 2, 14 and 10.
  27. 27.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 56. What is the other number?
  28. 28.Find the HCF of 45 and 63.
  29. 29.Find the LCM of 3, 7 and 6.
  30. 30.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 12. What is the other number?
  31. 31.Find the LCM of 8 and 18.
  32. 32.Find the LCM of 4, 3 and 13.
  33. 33.Find the HCF of 6 and 9.
  34. 34.Find the HCF of 105 and 45.
  35. 35.Find the LCM of 2, 3 and 5.
  36. 36.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 28. What is the other number?
  37. 37.Find the HCF of 56 and 72.
  38. 38.Find the HCF of 9 and 12.
  39. 39.Find the LCM of 4 and 7.
  40. 40.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 8. What is the other number?

Answer key

  1. 24
  2. 15
  3. 10
  4. 21
  5. 105
  6. 14
  7. 15
  8. 7
  9. 10
  10. 90
  11. 240
  12. 11
  13. 60
  14. 80
  15. 135
  16. 14
  17. 11
  18. 56
  19. 36
  20. 60
  21. 6
  22. 45
  23. 10
  24. 180
  25. 42
  26. 70
  27. 48
  28. 9
  29. 42
  30. 28
  31. 72
  32. 156
  33. 3
  34. 15
  35. 30
  36. 32
  37. 8
  38. 3
  39. 28
  40. 12

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