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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 341 · 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 25 and 45.
  2. 2.Find the LCM of 15, 5 and 4.
  3. 3.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 15. What is the other number?
  4. 4.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 15. What is the other number?
  5. 5.Find the LCM of 7 and 4.
  6. 6.Find the HCF of 44 and 99.
  7. 7.Find the LCM of 7, 3 and 11.
  8. 8.Find the HCF of 60 and 75.
  9. 9.The HCF of two numbers is 8 and their LCM is 360. One of the numbers is 72. What is the other number?
  10. 10.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 40. What is the other number?
  11. 11.Find the HCF of 30 and 35.
  12. 12.Find the LCM of 4 and 5.
  13. 13.Find the LCM of 14 and 16.
  14. 14.The HCF of two numbers is 2 and their LCM is 60. One of the numbers is 12. What is the other number?
  15. 15.Find the LCM of 3, 6 and 8.
  16. 16.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 4. What is the other number?
  17. 17.Find the HCF of 35 and 21.
  18. 18.Find the LCM of 32 and 20.
  19. 19.Find the LCM of 20 and 24.
  20. 20.Find the LCM of 12 and 14.
  21. 21.Find the LCM of 3 and 4.
  22. 22.Find the LCM of 25 and 40.
  23. 23.Find the HCF of 12 and 15.
  24. 24.Find the LCM of 21 and 9.
  25. 25.Find the LCM of 32 and 28.
  26. 26.Find the LCM of 6, 2 and 12.
  27. 27.Find the LCM of 8, 7 and 14.
  28. 28.The HCF of two numbers is 6 and their LCM is 120. One of the numbers is 30. What is the other number?
  29. 29.Find the HCF of 117 and 26.
  30. 30.Find the LCM of 21 and 18.
  31. 31.Find the HCF of 12 and 32.
  32. 32.Find the LCM of 3, 2 and 9.
  33. 33.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 20. What is the other number?
  34. 34.Find the LCM of 15 and 21.
  35. 35.Find the HCF of 35 and 25.
  36. 36.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 30. What is the other number?
  37. 37.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 12. What is the other number?
  38. 38.Find the LCM of 24 and 20.
  39. 39.Find the LCM of 2, 14 and 7.
  40. 40.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 36. What is the other number?

Answer key

  1. 5
  2. 60
  3. 40
  4. 25
  5. 28
  6. 11
  7. 231
  8. 15
  9. 40
  10. 35
  11. 5
  12. 20
  13. 112
  14. 10
  15. 24
  16. 10
  17. 7
  18. 160
  19. 120
  20. 84
  21. 12
  22. 200
  23. 3
  24. 63
  25. 224
  26. 12
  27. 56
  28. 24
  29. 13
  30. 126
  31. 4
  32. 18
  33. 28
  34. 105
  35. 5
  36. 18
  37. 18
  38. 120
  39. 14
  40. 32

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