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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 486 · 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 44 and 55.
  2. 2.Find the LCM of 12 and 14.
  3. 3.Find the LCM of 14, 3 and 2.
  4. 4.Find the LCM of 48 and 18.
  5. 5.Find the HCF of 48 and 40.
  6. 6.Find the LCM of 7, 8 and 4.
  7. 7.Find the HCF of 35 and 20.
  8. 8.Find the HCF of 8 and 6.
  9. 9.Find the HCF of 18 and 12.
  10. 10.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 18. What is the other number?
  11. 11.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 6. What is the other number?
  12. 12.Find the HCF of 16 and 36.
  13. 13.Find the LCM of 3, 2 and 8.
  14. 14.The HCF of two numbers is 4 and their LCM is 144. One of the numbers is 36. What is the other number?
  15. 15.Find the HCF of 40 and 72.
  16. 16.Find the LCM of 20 and 36.
  17. 17.The HCF of two numbers is 8 and their LCM is 504. One of the numbers is 72. What is the other number?
  18. 18.Find the HCF of 49 and 35.
  19. 19.Find the LCM of 18 and 8.
  20. 20.Find the HCF of 98 and 56.
  21. 21.Find the HCF of 66 and 77.
  22. 22.The HCF of two numbers is 7 and their LCM is 196. One of the numbers is 28. What is the other number?
  23. 23.Find the LCM of 14, 13 and 7.
  24. 24.The HCF of two numbers is 8 and their LCM is 288. One of the numbers is 72. What is the other number?
  25. 25.Find the LCM of 15, 2 and 12.
  26. 26.Find the LCM of 10, 5 and 15.
  27. 27.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 16. What is the other number?
  28. 28.Find the LCM of 12 and 10.
  29. 29.Find the HCF of 15 and 18.
  30. 30.Find the LCM of 36 and 8.
  31. 31.Find the HCF of 98 and 42.
  32. 32.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 12. What is the other number?
  33. 33.Find the HCF of 72 and 16.
  34. 34.The HCF of two numbers is 7 and their LCM is 392. One of the numbers is 49. What is the other number?
  35. 35.Find the LCM of 42 and 18.
  36. 36.Find the HCF of 36 and 27.
  37. 37.Find the LCM of 12, 15 and 10.
  38. 38.Find the LCM of 21 and 9.
  39. 39.Find the HCF of 49 and 21.
  40. 40.Find the LCM of 13, 2 and 4.

Answer key

  1. 11
  2. 84
  3. 42
  4. 144
  5. 8
  6. 56
  7. 5
  8. 2
  9. 6
  10. 12
  11. 14
  12. 4
  13. 24
  14. 16
  15. 8
  16. 180
  17. 56
  18. 7
  19. 72
  20. 14
  21. 11
  22. 49
  23. 182
  24. 32
  25. 60
  26. 30
  27. 14
  28. 60
  29. 3
  30. 72
  31. 14
  32. 21
  33. 8
  34. 56
  35. 126
  36. 9
  37. 60
  38. 63
  39. 7
  40. 52

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