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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 458 · 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 45 and 25.
  2. 2.Find the HCF of 48 and 30.
  3. 3.Find the LCM of 3, 5 and 15.
  4. 4.Find the HCF of 4 and 6.
  5. 5.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 15. What is the other number?
  6. 6.Find the HCF of 9 and 12.
  7. 7.Find the HCF of 120 and 45.
  8. 8.Find the LCM of 5, 4 and 7.
  9. 9.Find the LCM of 12, 6 and 5.
  10. 10.The HCF of two numbers is 6 and their LCM is 240. One of the numbers is 48. What is the other number?
  11. 11.The HCF of two numbers is 6 and their LCM is 240. One of the numbers is 30. What is the other number?
  12. 12.Find the LCM of 25 and 35.
  13. 13.Find the LCM of 7 and 8.
  14. 14.Find the LCM of 28 and 8.
  15. 15.Find the LCM of 14, 13 and 2.
  16. 16.Find the LCM of 3, 9 and 10.
  17. 17.The HCF of two numbers is 8 and their LCM is 448. One of the numbers is 56. What is the other number?
  18. 18.Find the LCM of 4, 13 and 6.
  19. 19.The HCF of two numbers is 9 and their LCM is 360. One of the numbers is 45. What is the other number?
  20. 20.Find the HCF of 35 and 40.
  21. 21.Find the LCM of 7, 4 and 2.
  22. 22.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 56. What is the other number?
  23. 23.Find the HCF of 18 and 27.
  24. 24.Find the HCF of 9 and 6.
  25. 25.Find the HCF of 25 and 45.
  26. 26.Find the LCM of 6 and 9.
  27. 27.Find the LCM of 9 and 6.
  28. 28.Find the HCF of 24 and 21.
  29. 29.Find the LCM of 6, 9 and 15.
  30. 30.Find the LCM of 3, 8 and 6.
  31. 31.Find the LCM of 4 and 10.
  32. 32.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 18. What is the other number?
  33. 33.Find the HCF of 18 and 12.
  34. 34.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 28. What is the other number?
  35. 35.Find the HCF of 36 and 16.
  36. 36.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 45. What is the other number?
  37. 37.Find the LCM of 3, 5 and 11.
  38. 38.Find the HCF of 45 and 10.
  39. 39.Find the HCF of 28 and 16.
  40. 40.Find the LCM of 14, 3 and 8.

Answer key

  1. 5
  2. 6
  3. 15
  4. 2
  5. 21
  6. 3
  7. 15
  8. 140
  9. 60
  10. 30
  11. 48
  12. 175
  13. 56
  14. 56
  15. 182
  16. 90
  17. 64
  18. 156
  19. 72
  20. 5
  21. 28
  22. 48
  23. 9
  24. 3
  25. 5
  26. 18
  27. 18
  28. 3
  29. 90
  30. 24
  31. 20
  32. 14
  33. 6
  34. 21
  35. 4
  36. 18
  37. 165
  38. 5
  39. 4
  40. 168

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