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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 461 · 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 30 and 80.
  2. 2.Find the LCM of 4, 12 and 3.
  3. 3.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 32. What is the other number?
  4. 4.Find the LCM of 7, 2 and 3.
  5. 5.Find the HCF of 60 and 50.
  6. 6.Find the LCM of 36 and 28.
  7. 7.Find the LCM of 10, 5 and 15.
  8. 8.Find the HCF of 48 and 18.
  9. 9.Find the HCF of 44 and 77.
  10. 10.Find the HCF of 33 and 44.
  11. 11.Find the LCM of 7, 15 and 14.
  12. 12.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 14. What is the other number?
  13. 13.Find the LCM of 8 and 36.
  14. 14.Find the LCM of 11, 6 and 12.
  15. 15.Find the LCM of 4 and 3.
  16. 16.Find the LCM of 32 and 36.
  17. 17.Find the HCF of 14 and 4.
  18. 18.Find the HCF of 15 and 6.
  19. 19.Find the LCM of 40 and 15.
  20. 20.Find the HCF of 10 and 45.
  21. 21.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 15. What is the other number?
  22. 22.Find the LCM of 12, 9 and 8.
  23. 23.Find the LCM of 12 and 9.
  24. 24.The HCF of two numbers is 7 and their LCM is 210. One of the numbers is 35. What is the other number?
  25. 25.Find the LCM of 4, 15 and 2.
  26. 26.Find the HCF of 80 and 90.
  27. 27.Find the HCF of 84 and 70.
  28. 28.Find the LCM of 7 and 6.
  29. 29.Find the LCM of 5 and 3.
  30. 30.Find the LCM of 13, 14 and 7.
  31. 31.Find the HCF of 14 and 63.
  32. 32.Find the HCF of 72 and 84.
  33. 33.Find the LCM of 14, 6 and 2.
  34. 34.The HCF of two numbers is 9 and their LCM is 270. One of the numbers is 54. What is the other number?
  35. 35.Find the LCM of 4, 7 and 10.
  36. 36.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 40. What is the other number?
  37. 37.Find the HCF of 105 and 120.
  38. 38.Find the LCM of 20 and 15.
  39. 39.Find the HCF of 60 and 36.
  40. 40.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 18. What is the other number?

Answer key

  1. 10
  2. 12
  3. 12
  4. 42
  5. 10
  6. 252
  7. 30
  8. 6
  9. 11
  10. 11
  11. 210
  12. 18
  13. 72
  14. 132
  15. 12
  16. 288
  17. 2
  18. 3
  19. 120
  20. 5
  21. 35
  22. 72
  23. 36
  24. 42
  25. 60
  26. 10
  27. 14
  28. 42
  29. 15
  30. 182
  31. 7
  32. 12
  33. 42
  34. 45
  35. 140
  36. 32
  37. 15
  38. 60
  39. 12
  40. 24

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