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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 5 · 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 45 and 18.
  2. 2.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 15. What is the other number?
  3. 3.Find the LCM of 35 and 15.
  4. 4.Find the HCF of 63 and 45.
  5. 5.The HCF of two numbers is 6 and their LCM is 252. One of the numbers is 42. What is the other number?
  6. 6.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 63. What is the other number?
  7. 7.Find the HCF of 30 and 105.
  8. 8.Find the HCF of 16 and 18.
  9. 9.Find the LCM of 6 and 7.
  10. 10.Find the LCM of 9, 6 and 10.
  11. 11.Find the HCF of 99 and 55.
  12. 12.Find the LCM of 14 and 10.
  13. 13.Find the LCM of 2, 11 and 12.
  14. 14.Find the HCF of 80 and 90.
  15. 15.The HCF of two numbers is 7 and their LCM is 504. One of the numbers is 56. What is the other number?
  16. 16.Find the LCM of 8, 15 and 3.
  17. 17.Find the LCM of 10 and 4.
  18. 18.Find the HCF of 72 and 84.
  19. 19.The HCF of two numbers is 4 and their LCM is 80. One of the numbers is 20. What is the other number?
  20. 20.Find the HCF of 24 and 56.
  21. 21.Find the HCF of 21 and 6.
  22. 22.Find the LCM of 7, 13 and 2.
  23. 23.Find the LCM of 4 and 5.
  24. 24.Find the LCM of 15, 5 and 14.
  25. 25.Find the HCF of 54 and 24.
  26. 26.Find the HCF of 42 and 12.
  27. 27.Find the LCM of 11, 12 and 4.
  28. 28.Find the HCF of 63 and 28.
  29. 29.Find the HCF of 66 and 55.
  30. 30.Find the HCF of 15 and 35.
  31. 31.Find the LCM of 16 and 36.
  32. 32.Find the LCM of 4, 2 and 6.
  33. 33.Find the HCF of 36 and 81.
  34. 34.Find the LCM of 10, 2 and 9.
  35. 35.Find the HCF of 27 and 18.
  36. 36.Find the HCF of 6 and 27.
  37. 37.Find the LCM of 10, 15 and 14.
  38. 38.Find the LCM of 6 and 4.
  39. 39.Find the LCM of 2, 4 and 12.
  40. 40.Find the HCF of 108 and 60.

Answer key

  1. 9
  2. 35
  3. 105
  4. 9
  5. 36
  6. 36
  7. 15
  8. 2
  9. 42
  10. 90
  11. 11
  12. 70
  13. 132
  14. 10
  15. 63
  16. 120
  17. 20
  18. 12
  19. 16
  20. 8
  21. 3
  22. 182
  23. 20
  24. 210
  25. 6
  26. 6
  27. 132
  28. 7
  29. 11
  30. 5
  31. 144
  32. 12
  33. 9
  34. 90
  35. 9
  36. 3
  37. 210
  38. 12
  39. 12
  40. 12

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