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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 377 · 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 72 and 27.
  2. 2.Find the HCF of 60 and 135.
  3. 3.Find the LCM of 6 and 10.
  4. 4.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 35. What is the other number?
  5. 5.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 10. What is the other number?
  6. 6.Find the HCF of 60 and 72.
  7. 7.Find the LCM of 12, 15 and 10.
  8. 8.Find the LCM of 3, 7 and 14.
  9. 9.Find the LCM of 32 and 28.
  10. 10.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 9. What is the other number?
  11. 11.Find the LCM of 2, 6 and 14.
  12. 12.Find the HCF of 12 and 18.
  13. 13.Find the LCM of 2 and 7.
  14. 14.Find the LCM of 12 and 16.
  15. 15.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 81. What is the other number?
  16. 16.Find the HCF of 98 and 28.
  17. 17.Find the LCM of 3, 6 and 14.
  18. 18.Find the LCM of 15, 3 and 5.
  19. 19.Find the LCM of 10, 14 and 5.
  20. 20.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 32. What is the other number?
  21. 21.Find the HCF of 72 and 40.
  22. 22.Find the LCM of 2, 5 and 3.
  23. 23.Find the LCM of 4 and 10.
  24. 24.Find the LCM of 20 and 12.
  25. 25.Find the LCM of 7, 13 and 2.
  26. 26.Find the HCF of 15 and 9.
  27. 27.Find the LCM of 12, 9 and 4.
  28. 28.Find the LCM of 8 and 12.
  29. 29.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 32. What is the other number?
  30. 30.Find the LCM of 54 and 42.
  31. 31.Find the HCF of 14 and 49.
  32. 32.Find the LCM of 3, 15 and 10.
  33. 33.Find the HCF of 8 and 6.
  34. 34.Find the LCM of 25 and 20.
  35. 35.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 20. What is the other number?
  36. 36.Find the LCM of 12 and 28.
  37. 37.Find the HCF of 75 and 30.
  38. 38.Find the LCM of 15, 5 and 9.
  39. 39.Find the HCF of 10 and 15.
  40. 40.Find the LCM of 10, 11 and 2.

Answer key

  1. 9
  2. 15
  3. 30
  4. 40
  5. 35
  6. 12
  7. 60
  8. 42
  9. 224
  10. 12
  11. 42
  12. 6
  13. 14
  14. 48
  15. 45
  16. 14
  17. 42
  18. 15
  19. 70
  20. 36
  21. 8
  22. 30
  23. 20
  24. 60
  25. 182
  26. 3
  27. 36
  28. 24
  29. 56
  30. 378
  31. 7
  32. 30
  33. 2
  34. 100
  35. 15
  36. 84
  37. 15
  38. 45
  39. 5
  40. 110

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