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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 266 · 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 7 and their LCM is 98. One of the numbers is 14. What is the other number?
  2. 2.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 56. What is the other number?
  3. 3.Find the HCF of 55 and 22.
  4. 4.Find the HCF of 15 and 6.
  5. 5.Find the LCM of 4, 9 and 10.
  6. 6.Find the LCM of 7 and 5.
  7. 7.Find the LCM of 7 and 6.
  8. 8.Find the LCM of 9, 3 and 6.
  9. 9.Find the HCF of 49 and 28.
  10. 10.Find the HCF of 36 and 32.
  11. 11.Find the HCF of 20 and 28.
  12. 12.Find the LCM of 6, 3 and 4.
  13. 13.The HCF of two numbers is 5 and their LCM is 100. One of the numbers is 20. What is the other number?
  14. 14.Find the LCM of 42 and 48.
  15. 15.Find the HCF of 16 and 18.
  16. 16.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 8. What is the other number?
  17. 17.Find the LCM of 3, 9 and 10.
  18. 18.Find the HCF of 24 and 84.
  19. 19.Find the HCF of 30 and 75.
  20. 20.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 15. What is the other number?
  21. 21.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 15. What is the other number?
  22. 22.Find the LCM of 15 and 20.
  23. 23.Find the LCM of 15 and 12.
  24. 24.Find the HCF of 112 and 70.
  25. 25.Find the LCM of 4 and 10.
  26. 26.Find the LCM of 8 and 14.
  27. 27.Find the LCM of 10 and 35.
  28. 28.Find the HCF of 35 and 40.
  29. 29.Find the LCM of 3, 12 and 4.
  30. 30.The HCF of two numbers is 7 and their LCM is 196. One of the numbers is 49. What is the other number?
  31. 31.Find the LCM of 12, 2 and 4.
  32. 32.Find the LCM of 21 and 6.
  33. 33.Find the HCF of 32 and 28.
  34. 34.Find the HCF of 90 and 50.
  35. 35.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 9. What is the other number?
  36. 36.Find the LCM of 35 and 10.
  37. 37.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 28. What is the other number?
  38. 38.Find the HCF of 18 and 27.
  39. 39.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 25. What is the other number?
  40. 40.Find the HCF of 18 and 45.

Answer key

  1. 49
  2. 32
  3. 11
  4. 3
  5. 180
  6. 35
  7. 42
  8. 18
  9. 7
  10. 4
  11. 4
  12. 12
  13. 25
  14. 336
  15. 2
  16. 20
  17. 90
  18. 12
  19. 15
  20. 21
  21. 24
  22. 60
  23. 60
  24. 14
  25. 20
  26. 56
  27. 70
  28. 5
  29. 12
  30. 28
  31. 12
  32. 42
  33. 4
  34. 10
  35. 24
  36. 70
  37. 16
  38. 9
  39. 10
  40. 9

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