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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 608 · 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.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 25. What is the other number?
  2. 2.Find the HCF of 52 and 117.
  3. 3.Find the LCM of 15 and 6.
  4. 4.Find the HCF of 40 and 35.
  5. 5.Find the HCF of 105 and 120.
  6. 6.Find the LCM of 15, 4 and 2.
  7. 7.Find the LCM of 42 and 24.
  8. 8.Find the HCF of 6 and 8.
  9. 9.Find the LCM of 30 and 25.
  10. 10.Find the LCM of 15, 10 and 4.
  11. 11.Find the HCF of 44 and 33.
  12. 12.Find the LCM of 14, 7 and 6.
  13. 13.Find the HCF of 26 and 65.
  14. 14.Find the LCM of 54 and 30.
  15. 15.Find the LCM of 3 and 8.
  16. 16.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 21. What is the other number?
  17. 17.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 8. What is the other number?
  18. 18.Find the HCF of 12 and 27.
  19. 19.Find the LCM of 15, 7 and 6.
  20. 20.Find the HCF of 44 and 77.
  21. 21.Find the LCM of 3, 13 and 4.
  22. 22.Find the LCM of 15, 4 and 5.
  23. 23.Find the LCM of 3, 9 and 7.
  24. 24.Find the HCF of 30 and 54.
  25. 25.Find the LCM of 2, 10 and 5.
  26. 26.Find the LCM of 30 and 24.
  27. 27.Find the LCM of 8 and 5.
  28. 28.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 81. What is the other number?
  29. 29.Find the HCF of 42 and 35.
  30. 30.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 14. What is the other number?
  31. 31.Find the HCF of 77 and 88.
  32. 32.Find the LCM of 6, 15 and 3.
  33. 33.Find the LCM of 30 and 54.
  34. 34.Find the LCM of 10 and 25.
  35. 35.Find the HCF of 54 and 12.
  36. 36.Find the LCM of 14 and 16.
  37. 37.Find the HCF of 36 and 48.
  38. 38.Find the HCF of 75 and 135.
  39. 39.Find the LCM of 15, 12 and 5.
  40. 40.Find the LCM of 10 and 14.

Answer key

  1. 15
  2. 13
  3. 30
  4. 5
  5. 15
  6. 60
  7. 168
  8. 2
  9. 150
  10. 60
  11. 11
  12. 42
  13. 13
  14. 270
  15. 24
  16. 14
  17. 20
  18. 3
  19. 210
  20. 11
  21. 156
  22. 60
  23. 63
  24. 6
  25. 10
  26. 120
  27. 40
  28. 63
  29. 7
  30. 8
  31. 11
  32. 30
  33. 270
  34. 50
  35. 6
  36. 112
  37. 12
  38. 15
  39. 60
  40. 70

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