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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 329 · 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 55 and 77.
  2. 2.Find the LCM of 3, 12 and 15.
  3. 3.Find the LCM of 6, 9 and 2.
  4. 4.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 12. What is the other number?
  5. 5.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 20. What is the other number?
  6. 6.Find the LCM of 9 and 4.
  7. 7.Find the LCM of 28 and 16.
  8. 8.Find the LCM of 2, 12 and 14.
  9. 9.Find the LCM of 7 and 6.
  10. 10.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 14. What is the other number?
  11. 11.Find the HCF of 16 and 36.
  12. 12.Find the LCM of 14 and 4.
  13. 13.Find the LCM of 4 and 6.
  14. 14.Find the LCM of 10 and 45.
  15. 15.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 63. What is the other number?
  16. 16.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 9. What is the other number?
  17. 17.Find the LCM of 15, 9 and 12.
  18. 18.Find the LCM of 24 and 21.
  19. 19.Find the HCF of 15 and 24.
  20. 20.Find the HCF of 10 and 15.
  21. 21.Find the HCF of 63 and 81.
  22. 22.Find the LCM of 4 and 18.
  23. 23.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 27. What is the other number?
  24. 24.Find the LCM of 2, 9 and 15.
  25. 25.Find the LCM of 6, 4 and 12.
  26. 26.Find the HCF of 28 and 12.
  27. 27.Find the LCM of 8 and 5.
  28. 28.Find the LCM of 4, 2 and 3.
  29. 29.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 45. What is the other number?
  30. 30.Find the HCF of 35 and 10.
  31. 31.Find the LCM of 12 and 18.
  32. 32.Find the LCM of 10, 14 and 15.
  33. 33.Find the HCF of 30 and 12.
  34. 34.Find the HCF of 21 and 9.
  35. 35.The HCF of two numbers is 4 and their LCM is 252. One of the numbers is 28. What is the other number?
  36. 36.Find the HCF of 15 and 21.
  37. 37.Find the LCM of 2 and 9.
  38. 38.Find the HCF of 18 and 14.
  39. 39.Find the LCM of 9, 5 and 4.
  40. 40.Find the LCM of 8, 3 and 5.

Answer key

  1. 11
  2. 60
  3. 18
  4. 27
  5. 8
  6. 36
  7. 112
  8. 84
  9. 42
  10. 35
  11. 4
  12. 28
  13. 12
  14. 90
  15. 27
  16. 21
  17. 180
  18. 168
  19. 3
  20. 5
  21. 9
  22. 36
  23. 15
  24. 90
  25. 12
  26. 4
  27. 40
  28. 12
  29. 18
  30. 5
  31. 36
  32. 210
  33. 6
  34. 3
  35. 36
  36. 3
  37. 18
  38. 2
  39. 180
  40. 120

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