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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 692 · 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 LCM of 6 and 8.
  2. 2.Find the HCF of 15 and 25.
  3. 3.Find the LCM of 3, 10 and 2.
  4. 4.Find the HCF of 16 and 6.
  5. 5.Find the LCM of 3, 12 and 13.
  6. 6.Find the LCM of 12, 14 and 4.
  7. 7.Find the HCF of 10 and 14.
  8. 8.Find the HCF of 56 and 126.
  9. 9.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 36. What is the other number?
  10. 10.Find the HCF of 20 and 32.
  11. 11.Find the LCM of 4, 9 and 5.
  12. 12.The HCF of two numbers is 5 and their LCM is 175. One of the numbers is 25. What is the other number?
  13. 13.Find the HCF of 15 and 40.
  14. 14.Find the HCF of 117 and 104.
  15. 15.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 12. What is the other number?
  16. 16.Find the HCF of 30 and 50.
  17. 17.Find the LCM of 6, 10 and 2.
  18. 18.Find the HCF of 45 and 27.
  19. 19.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 10. What is the other number?
  20. 20.Find the HCF of 14 and 49.
  21. 21.Find the LCM of 14 and 10.
  22. 22.Find the LCM of 6 and 4.
  23. 23.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 14. What is the other number?
  24. 24.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 4. What is the other number?
  25. 25.Find the HCF of 56 and 42.
  26. 26.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 10. What is the other number?
  27. 27.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 8. What is the other number?
  28. 28.Find the HCF of 36 and 42.
  29. 29.Find the LCM of 2, 15 and 7.
  30. 30.Find the HCF of 16 and 18.
  31. 31.Find the HCF of 64 and 72.
  32. 32.The HCF of two numbers is 9 and their LCM is 135. One of the numbers is 27. What is the other number?
  33. 33.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 12. What is the other number?
  34. 34.Find the LCM of 2, 6 and 10.
  35. 35.The HCF of two numbers is 9 and their LCM is 324. One of the numbers is 81. What is the other number?
  36. 36.Find the HCF of 9 and 21.
  37. 37.Find the LCM of 14, 7 and 2.
  38. 38.Find the LCM of 6, 7 and 10.
  39. 39.Find the HCF of 39 and 91.
  40. 40.Find the LCM of 54 and 42.

Answer key

  1. 24
  2. 5
  3. 30
  4. 2
  5. 156
  6. 84
  7. 2
  8. 14
  9. 32
  10. 4
  11. 180
  12. 35
  13. 5
  14. 13
  15. 15
  16. 10
  17. 30
  18. 9
  19. 45
  20. 7
  21. 70
  22. 12
  23. 6
  24. 14
  25. 14
  26. 6
  27. 20
  28. 6
  29. 210
  30. 2
  31. 8
  32. 45
  33. 9
  34. 30
  35. 36
  36. 3
  37. 14
  38. 210
  39. 13
  40. 378

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