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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 524 · 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 LCM of 10, 3 and 8.
  2. 2.Find the HCF of 75 and 60.
  3. 3.Find the LCM of 14, 3 and 5.
  4. 4.Find the LCM of 3, 9 and 7.
  5. 5.Find the HCF of 9 and 21.
  6. 6.Find the HCF of 36 and 28.
  7. 7.Find the LCM of 11, 12 and 3.
  8. 8.Find the HCF of 65 and 91.
  9. 9.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 15. What is the other number?
  10. 10.Find the LCM of 4, 9 and 2.
  11. 11.Find the LCM of 40 and 45.
  12. 12.Find the LCM of 5 and 3.
  13. 13.Find the LCM of 5, 3 and 14.
  14. 14.Find the HCF of 28 and 63.
  15. 15.Find the LCM of 4 and 9.
  16. 16.The HCF of two numbers is 6 and their LCM is 216. One of the numbers is 24. What is the other number?
  17. 17.Find the HCF of 112 and 70.
  18. 18.Find the LCM of 42 and 18.
  19. 19.Find the HCF of 35 and 15.
  20. 20.Find the HCF of 28 and 24.
  21. 21.The HCF of two numbers is 8 and their LCM is 240. One of the numbers is 48. What is the other number?
  22. 22.Find the HCF of 8 and 28.
  23. 23.Find the HCF of 35 and 20.
  24. 24.Find the LCM of 30 and 25.
  25. 25.Find the HCF of 39 and 104.
  26. 26.Find the HCF of 20 and 36.
  27. 27.Find the LCM of 12 and 21.
  28. 28.Find the LCM of 3, 9 and 4.
  29. 29.Find the HCF of 25 and 15.
  30. 30.Find the LCM of 8, 15 and 4.
  31. 31.Find the HCF of 16 and 56.
  32. 32.Find the LCM of 2, 15 and 3.
  33. 33.Find the HCF of 15 and 10.
  34. 34.Find the LCM of 20 and 28.
  35. 35.Find the LCM of 2, 4 and 15.
  36. 36.The HCF of two numbers is 8 and their LCM is 448. One of the numbers is 56. What is the other number?
  37. 37.Find the LCM of 28 and 12.
  38. 38.Find the LCM of 4, 3 and 9.
  39. 39.The HCF of two numbers is 7 and their LCM is 252. One of the numbers is 28. What is the other number?
  40. 40.Find the HCF of 77 and 55.

Answer key

  1. 120
  2. 15
  3. 210
  4. 63
  5. 3
  6. 4
  7. 132
  8. 13
  9. 20
  10. 36
  11. 360
  12. 15
  13. 210
  14. 7
  15. 36
  16. 54
  17. 14
  18. 126
  19. 5
  20. 4
  21. 40
  22. 4
  23. 5
  24. 150
  25. 13
  26. 4
  27. 84
  28. 36
  29. 5
  30. 120
  31. 8
  32. 30
  33. 5
  34. 140
  35. 60
  36. 64
  37. 84
  38. 36
  39. 63
  40. 11

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