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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 540 · 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.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 9. What is the other number?
  2. 2.Find the LCM of 6, 3 and 7.
  3. 3.Find the LCM of 8, 5 and 3.
  4. 4.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 35. What is the other number?
  5. 5.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 40. What is the other number?
  6. 6.Find the LCM of 6, 9 and 4.
  7. 7.Find the LCM of 10, 8 and 2.
  8. 8.Find the HCF of 48 and 18.
  9. 9.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 32. What is the other number?
  10. 10.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 21. What is the other number?
  11. 11.Find the HCF of 56 and 16.
  12. 12.Find the LCM of 14, 15 and 2.
  13. 13.Find the HCF of 18 and 15.
  14. 14.Find the HCF of 54 and 30.
  15. 15.Find the LCM of 6, 8 and 10.
  16. 16.Find the LCM of 5, 13 and 10.
  17. 17.The HCF of two numbers is 9 and their LCM is 360. One of the numbers is 45. What is the other number?
  18. 18.Find the HCF of 9 and 12.
  19. 19.Find the LCM of 45 and 10.
  20. 20.Find the LCM of 25 and 30.
  21. 21.Find the LCM of 9 and 12.
  22. 22.Find the LCM of 8 and 18.
  23. 23.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 28. What is the other number?
  24. 24.Find the HCF of 16 and 40.
  25. 25.Find the LCM of 15, 4 and 5.
  26. 26.Find the HCF of 24 and 9.
  27. 27.Find the LCM of 21 and 15.
  28. 28.Find the LCM of 2, 13 and 5.
  29. 29.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 32. What is the other number?
  30. 30.Find the LCM of 14, 11 and 2.
  31. 31.Find the HCF of 20 and 50.
  32. 32.Find the LCM of 25 and 20.
  33. 33.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 20. What is the other number?
  34. 34.Find the LCM of 11, 12 and 2.
  35. 35.Find the HCF of 78 and 65.
  36. 36.Find the LCM of 8, 3 and 15.
  37. 37.Find the LCM of 6 and 14.
  38. 38.Find the LCM of 20 and 8.
  39. 39.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 6. What is the other number?
  40. 40.Find the HCF of 20 and 24.

Answer key

  1. 21
  2. 42
  3. 120
  4. 14
  5. 24
  6. 36
  7. 40
  8. 6
  9. 24
  10. 12
  11. 8
  12. 210
  13. 3
  14. 6
  15. 120
  16. 130
  17. 72
  18. 3
  19. 90
  20. 150
  21. 36
  22. 72
  23. 12
  24. 8
  25. 60
  26. 3
  27. 105
  28. 130
  29. 28
  30. 154
  31. 10
  32. 100
  33. 8
  34. 132
  35. 13
  36. 120
  37. 42
  38. 40
  39. 8
  40. 4

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