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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 340 · 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 28 and 21.
  2. 2.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 18. What is the other number?
  3. 3.Find the HCF of 108 and 24.
  4. 4.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 20. What is the other number?
  5. 5.Find the LCM of 6, 9 and 15.
  6. 6.Find the LCM of 30 and 36.
  7. 7.Find the HCF of 30 and 50.
  8. 8.Find the LCM of 8, 12 and 2.
  9. 9.Find the LCM of 12, 4 and 11.
  10. 10.Find the HCF of 72 and 56.
  11. 11.Find the HCF of 84 and 72.
  12. 12.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 72. What is the other number?
  13. 13.Find the LCM of 8 and 12.
  14. 14.Find the LCM of 4 and 14.
  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.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 15. What is the other number?
  17. 17.Find the LCM of 7 and 6.
  18. 18.Find the HCF of 4 and 14.
  19. 19.Find the HCF of 70 and 50.
  20. 20.Find the HCF of 70 and 30.
  21. 21.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 12. What is the other number?
  22. 22.The HCF of two numbers is 4 and their LCM is 120. One of the numbers is 20. What is the other number?
  23. 23.Find the HCF of 33 and 88.
  24. 24.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 12. What is the other number?
  25. 25.Find the HCF of 45 and 54.
  26. 26.Find the LCM of 10 and 12.
  27. 27.Find the LCM of 8, 4 and 12.
  28. 28.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 24. What is the other number?
  29. 29.Find the HCF of 40 and 24.
  30. 30.Find the HCF of 135 and 60.
  31. 31.Find the LCM of 4, 5 and 14.
  32. 32.Find the LCM of 9 and 5.
  33. 33.Find the LCM of 5 and 3.
  34. 34.Find the LCM of 14, 4 and 5.
  35. 35.Find the LCM of 16 and 14.
  36. 36.Find the HCF of 21 and 14.
  37. 37.The HCF of two numbers is 8 and their LCM is 280. One of the numbers is 40. What is the other number?
  38. 38.Find the HCF of 30 and 24.
  39. 39.Find the LCM of 40 and 25.
  40. 40.Find the HCF of 24 and 64.

Answer key

  1. 7
  2. 16
  3. 12
  4. 15
  5. 90
  6. 180
  7. 10
  8. 24
  9. 132
  10. 8
  11. 12
  12. 16
  13. 24
  14. 28
  15. 15
  16. 12
  17. 42
  18. 2
  19. 10
  20. 10
  21. 28
  22. 24
  23. 11
  24. 42
  25. 9
  26. 60
  27. 24
  28. 15
  29. 8
  30. 15
  31. 140
  32. 45
  33. 15
  34. 140
  35. 112
  36. 7
  37. 56
  38. 6
  39. 200
  40. 8

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