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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 631 · 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 14 and 35.
  2. 2.Find the LCM of 9, 4 and 10.
  3. 3.Find the HCF of 56 and 24.
  4. 4.Find the LCM of 36 and 42.
  5. 5.Find the HCF of 81 and 45.
  6. 6.Find the HCF of 44 and 77.
  7. 7.The HCF of two numbers is 7 and their LCM is 504. One of the numbers is 63. What is the other number?
  8. 8.Find the HCF of 65 and 78.
  9. 9.Find the LCM of 6, 12 and 9.
  10. 10.Find the HCF of 126 and 56.
  11. 11.Find the HCF of 42 and 12.
  12. 12.Find the LCM of 8, 4 and 3.
  13. 13.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 12. What is the other number?
  14. 14.Find the HCF of 32 and 72.
  15. 15.Find the HCF of 80 and 70.
  16. 16.Find the LCM of 9, 2 and 10.
  17. 17.Find the HCF of 24 and 28.
  18. 18.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 18. What is the other number?
  19. 19.The HCF of two numbers is 8 and their LCM is 288. One of the numbers is 32. What is the other number?
  20. 20.Find the HCF of 24 and 64.
  21. 21.Find the LCM of 3, 4 and 8.
  22. 22.Find the HCF of 120 and 105.
  23. 23.Find the HCF of 18 and 8.
  24. 24.Find the LCM of 30 and 42.
  25. 25.Find the LCM of 5 and 4.
  26. 26.Find the HCF of 22 and 55.
  27. 27.Find the HCF of 104 and 91.
  28. 28.Find the HCF of 6 and 15.
  29. 29.Find the HCF of 56 and 21.
  30. 30.The HCF of two numbers is 4 and their LCM is 252. One of the numbers is 28. What is the other number?
  31. 31.Find the LCM of 6 and 4.
  32. 32.Find the LCM of 8 and 28.
  33. 33.Find the LCM of 6 and 16.
  34. 34.Find the HCF of 50 and 30.
  35. 35.Find the LCM of 9, 8 and 2.
  36. 36.The HCF of two numbers is 9 and their LCM is 360. One of the numbers is 72. What is the other number?
  37. 37.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 15. What is the other number?
  38. 38.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 10. What is the other number?
  39. 39.The HCF of two numbers is 6 and their LCM is 60. One of the numbers is 12. What is the other number?
  40. 40.Find the HCF of 20 and 16.

Answer key

  1. 7
  2. 180
  3. 8
  4. 252
  5. 9
  6. 11
  7. 56
  8. 13
  9. 36
  10. 14
  11. 6
  12. 24
  13. 18
  14. 8
  15. 10
  16. 90
  17. 4
  18. 48
  19. 72
  20. 8
  21. 24
  22. 15
  23. 2
  24. 210
  25. 20
  26. 11
  27. 13
  28. 3
  29. 7
  30. 36
  31. 12
  32. 56
  33. 48
  34. 10
  35. 72
  36. 45
  37. 10
  38. 4
  39. 30
  40. 4

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