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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 257 · 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 4 and their LCM is 288. One of the numbers is 32. What is the other number?
  2. 2.Find the HCF of 15 and 27.
  3. 3.Find the HCF of 12 and 18.
  4. 4.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 10. What is the other number?
  5. 5.Find the LCM of 27 and 12.
  6. 6.Find the HCF of 65 and 26.
  7. 7.Find the HCF of 117 and 65.
  8. 8.Find the HCF of 30 and 25.
  9. 9.Find the LCM of 8 and 3.
  10. 10.Find the LCM of 15, 4 and 10.
  11. 11.Find the LCM of 25 and 10.
  12. 12.Find the LCM of 16 and 28.
  13. 13.Find the LCM of 2, 12 and 11.
  14. 14.Find the LCM of 45 and 40.
  15. 15.Find the LCM of 54 and 30.
  16. 16.Find the HCF of 60 and 84.
  17. 17.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 40. What is the other number?
  18. 18.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 40. What is the other number?
  19. 19.Find the LCM of 2, 11 and 12.
  20. 20.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 9. What is the other number?
  21. 21.Find the HCF of 30 and 45.
  22. 22.Find the HCF of 108 and 48.
  23. 23.Find the HCF of 28 and 49.
  24. 24.Find the HCF of 24 and 32.
  25. 25.Find the HCF of 39 and 26.
  26. 26.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 15. What is the other number?
  27. 27.Find the HCF of 108 and 24.
  28. 28.Find the LCM of 5, 14 and 10.
  29. 29.Find the LCM of 18 and 4.
  30. 30.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 36. What is the other number?
  31. 31.The HCF of two numbers is 4 and their LCM is 80. One of the numbers is 20. What is the other number?
  32. 32.The HCF of two numbers is 9 and their LCM is 324. One of the numbers is 36. What is the other number?
  33. 33.Find the LCM of 6, 5 and 2.
  34. 34.Find the HCF of 40 and 35.
  35. 35.Find the HCF of 36 and 27.
  36. 36.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 21. What is the other number?
  37. 37.Find the HCF of 117 and 26.
  38. 38.Find the LCM of 4, 12 and 10.
  39. 39.Find the HCF of 70 and 56.
  40. 40.Find the LCM of 4, 5 and 3.

Answer key

  1. 36
  2. 3
  3. 6
  4. 35
  5. 108
  6. 13
  7. 13
  8. 5
  9. 24
  10. 60
  11. 50
  12. 112
  13. 132
  14. 360
  15. 270
  16. 12
  17. 24
  18. 15
  19. 132
  20. 6
  21. 15
  22. 12
  23. 7
  24. 8
  25. 13
  26. 9
  27. 12
  28. 70
  29. 36
  30. 20
  31. 16
  32. 81
  33. 30
  34. 5
  35. 9
  36. 6
  37. 13
  38. 60
  39. 14
  40. 60

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