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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 553 · 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 2 and their LCM is 12. One of the numbers is 4. What is the other number?
  2. 2.Find the HCF of 35 and 45.
  3. 3.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 30. What is the other number?
  4. 4.Find the LCM of 10 and 35.
  5. 5.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 36. What is the other number?
  6. 6.Find the HCF of 56 and 40.
  7. 7.Find the LCM of 15 and 20.
  8. 8.The HCF of two numbers is 8 and their LCM is 320. One of the numbers is 64. What is the other number?
  9. 9.The HCF of two numbers is 9 and their LCM is 135. One of the numbers is 45. What is the other number?
  10. 10.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 35. What is the other number?
  11. 11.Find the LCM of 2, 15 and 3.
  12. 12.Find the LCM of 6, 9 and 10.
  13. 13.Find the HCF of 8 and 20.
  14. 14.The HCF of two numbers is 9 and their LCM is 360. One of the numbers is 72. What is the other number?
  15. 15.Find the HCF of 35 and 14.
  16. 16.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 14. What is the other number?
  17. 17.Find the LCM of 4 and 14.
  18. 18.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 27. What is the other number?
  19. 19.Find the LCM of 20 and 8.
  20. 20.Find the LCM of 15 and 27.
  21. 21.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 18. What is the other number?
  22. 22.Find the HCF of 96 and 36.
  23. 23.Find the HCF of 64 and 40.
  24. 24.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 12. What is the other number?
  25. 25.Find the LCM of 14 and 18.
  26. 26.Find the HCF of 117 and 104.
  27. 27.Find the HCF of 88 and 99.
  28. 28.Find the HCF of 14 and 6.
  29. 29.Find the LCM of 27 and 6.
  30. 30.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 24. What is the other number?
  31. 31.Find the LCM of 10 and 18.
  32. 32.Find the HCF of 4 and 14.
  33. 33.Find the LCM of 2, 3 and 10.
  34. 34.Find the HCF of 28 and 126.
  35. 35.Find the LCM of 4 and 6.
  36. 36.Find the LCM of 6 and 21.
  37. 37.Find the LCM of 35 and 10.
  38. 38.Find the LCM of 12 and 32.
  39. 39.Find the LCM of 20 and 12.
  40. 40.Find the LCM of 6, 3 and 5.

Answer key

  1. 6
  2. 5
  3. 25
  4. 70
  5. 8
  6. 8
  7. 60
  8. 40
  9. 27
  10. 15
  11. 30
  12. 90
  13. 4
  14. 45
  15. 7
  16. 16
  17. 28
  18. 15
  19. 40
  20. 135
  21. 21
  22. 12
  23. 8
  24. 15
  25. 126
  26. 13
  27. 11
  28. 2
  29. 54
  30. 18
  31. 90
  32. 2
  33. 30
  34. 14
  35. 12
  36. 42
  37. 70
  38. 96
  39. 60
  40. 30

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