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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 466 · 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 56 and 64.
  2. 2.Find the LCM of 12, 14 and 6.
  3. 3.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 12. What is the other number?
  4. 4.Find the LCM of 5 and 4.
  5. 5.The HCF of two numbers is 5 and their LCM is 100. One of the numbers is 25. What is the other number?
  6. 6.Find the HCF of 80 and 70.
  7. 7.Find the HCF of 28 and 24.
  8. 8.Find the LCM of 11, 4 and 8.
  9. 9.Find the HCF of 45 and 63.
  10. 10.Find the LCM of 14 and 16.
  11. 11.The HCF of two numbers is 4 and their LCM is 168. One of the numbers is 28. What is the other number?
  12. 12.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 8. What is the other number?
  13. 13.Find the HCF of 6 and 21.
  14. 14.Find the LCM of 6 and 16.
  15. 15.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 14. What is the other number?
  16. 16.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 40. What is the other number?
  17. 17.Find the LCM of 9, 7 and 6.
  18. 18.Find the HCF of 21 and 15.
  19. 19.The HCF of two numbers is 6 and their LCM is 108. One of the numbers is 54. What is the other number?
  20. 20.Find the LCM of 10, 13 and 2.
  21. 21.Find the LCM of 15, 6 and 12.
  22. 22.Find the LCM of 35 and 20.
  23. 23.Find the HCF of 10 and 14.
  24. 24.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 15. What is the other number?
  25. 25.Find the LCM of 5, 4 and 6.
  26. 26.Find the LCM of 6, 9 and 10.
  27. 27.Find the LCM of 40 and 35.
  28. 28.Find the LCM of 16 and 6.
  29. 29.The HCF of two numbers is 4 and their LCM is 144. One of the numbers is 16. What is the other number?
  30. 30.The HCF of two numbers is 9 and their LCM is 270. One of the numbers is 45. What is the other number?
  31. 31.Find the HCF of 6 and 4.
  32. 32.Find the HCF of 16 and 28.
  33. 33.Find the HCF of 15 and 10.
  34. 34.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 32. What is the other number?
  35. 35.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 12. What is the other number?
  36. 36.Find the HCF of 36 and 81.
  37. 37.Find the HCF of 48 and 30.
  38. 38.Find the HCF of 88 and 99.
  39. 39.Find the HCF of 14 and 35.
  40. 40.The HCF of two numbers is 4 and their LCM is 144. One of the numbers is 36. What is the other number?

Answer key

  1. 8
  2. 84
  3. 42
  4. 20
  5. 20
  6. 10
  7. 4
  8. 88
  9. 9
  10. 112
  11. 24
  12. 12
  13. 3
  14. 48
  15. 18
  16. 35
  17. 126
  18. 3
  19. 12
  20. 130
  21. 60
  22. 140
  23. 2
  24. 27
  25. 60
  26. 90
  27. 280
  28. 48
  29. 36
  30. 54
  31. 2
  32. 4
  33. 5
  34. 24
  35. 32
  36. 9
  37. 6
  38. 11
  39. 7
  40. 16

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