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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 122 · 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 91 and 117.
  2. 2.Find the LCM of 3, 11 and 2.
  3. 3.Find the LCM of 12, 2 and 14.
  4. 4.Find the HCF of 52 and 65.
  5. 5.The HCF of two numbers is 6 and their LCM is 60. One of the numbers is 12. What is the other number?
  6. 6.Find the LCM of 15, 6 and 14.
  7. 7.Find the LCM of 4, 11 and 6.
  8. 8.Find the HCF of 18 and 27.
  9. 9.Find the HCF of 50 and 60.
  10. 10.Find the HCF of 48 and 56.
  11. 11.Find the LCM of 15, 10 and 2.
  12. 12.Find the LCM of 12 and 30.
  13. 13.Find the LCM of 3 and 7.
  14. 14.Find the HCF of 12 and 9.
  15. 15.Find the LCM of 48 and 30.
  16. 16.Find the HCF of 15 and 10.
  17. 17.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 20. What is the other number?
  18. 18.Find the HCF of 12 and 42.
  19. 19.Find the LCM of 3 and 4.
  20. 20.Find the HCF of 32 and 72.
  21. 21.Find the HCF of 56 and 32.
  22. 22.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 15. What is the other number?
  23. 23.Find the HCF of 56 and 42.
  24. 24.Find the HCF of 16 and 20.
  25. 25.Find the LCM of 7, 12 and 4.
  26. 26.Find the HCF of 56 and 64.
  27. 27.Find the LCM of 4, 10 and 15.
  28. 28.The HCF of two numbers is 9 and their LCM is 315. One of the numbers is 45. What is the other number?
  29. 29.Find the LCM of 2, 4 and 12.
  30. 30.Find the LCM of 36 and 16.
  31. 31.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 18. What is the other number?
  32. 32.Find the HCF of 18 and 12.
  33. 33.Find the LCM of 4 and 7.
  34. 34.Find the HCF of 45 and 20.
  35. 35.Find the LCM of 8, 15 and 3.
  36. 36.Find the HCF of 112 and 126.
  37. 37.Find the LCM of 36 and 20.
  38. 38.Find the LCM of 3, 11 and 6.
  39. 39.Find the HCF of 18 and 30.
  40. 40.Find the HCF of 42 and 28.

Answer key

  1. 13
  2. 66
  3. 84
  4. 13
  5. 30
  6. 210
  7. 132
  8. 9
  9. 10
  10. 8
  11. 30
  12. 60
  13. 21
  14. 3
  15. 240
  16. 5
  17. 12
  18. 6
  19. 12
  20. 8
  21. 8
  22. 9
  23. 14
  24. 4
  25. 84
  26. 8
  27. 60
  28. 63
  29. 12
  30. 144
  31. 12
  32. 6
  33. 28
  34. 5
  35. 120
  36. 14
  37. 180
  38. 66
  39. 6
  40. 14

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