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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 485 · 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 6 and 21.
  2. 2.Find the LCM of 8, 4 and 15.
  3. 3.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 35. What is the other number?
  4. 4.Find the HCF of 33 and 22.
  5. 5.Find the HCF of 48 and 30.
  6. 6.Find the HCF of 56 and 49.
  7. 7.Find the LCM of 2, 14 and 15.
  8. 8.Find the HCF of 135 and 60.
  9. 9.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 24. What is the other number?
  10. 10.Find the HCF of 117 and 26.
  11. 11.Find the LCM of 9, 8 and 3.
  12. 12.Find the LCM of 10, 6 and 7.
  13. 13.Find the HCF of 135 and 105.
  14. 14.Find the HCF of 24 and 20.
  15. 15.The HCF of two numbers is 5 and their LCM is 100. One of the numbers is 25. What is the other number?
  16. 16.Find the LCM of 12 and 42.
  17. 17.Find the LCM of 5, 4 and 8.
  18. 18.Find the HCF of 24 and 21.
  19. 19.Find the LCM of 6 and 14.
  20. 20.Find the HCF of 35 and 42.
  21. 21.Find the LCM of 8 and 5.
  22. 22.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 81. What is the other number?
  23. 23.The HCF of two numbers is 9 and their LCM is 648. One of the numbers is 81. What is the other number?
  24. 24.Find the LCM of 10 and 8.
  25. 25.Find the LCM of 15 and 35.
  26. 26.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 18. What is the other number?
  27. 27.Find the LCM of 12, 6 and 4.
  28. 28.Find the LCM of 15 and 10.
  29. 29.Find the LCM of 15, 5 and 14.
  30. 30.Find the HCF of 8 and 10.
  31. 31.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 14. What is the other number?
  32. 32.Find the LCM of 7, 3 and 11.
  33. 33.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 12. What is the other number?
  34. 34.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 12. What is the other number?
  35. 35.Find the LCM of 5, 11 and 4.
  36. 36.Find the HCF of 15 and 25.
  37. 37.Find the LCM of 7, 4 and 6.
  38. 38.Find the LCM of 10, 14 and 5.
  39. 39.Find the HCF of 4 and 6.
  40. 40.Find the HCF of 84 and 98.

Answer key

  1. 3
  2. 120
  3. 40
  4. 11
  5. 6
  6. 7
  7. 210
  8. 15
  9. 18
  10. 13
  11. 72
  12. 210
  13. 15
  14. 4
  15. 20
  16. 84
  17. 40
  18. 3
  19. 42
  20. 7
  21. 40
  22. 63
  23. 72
  24. 40
  25. 105
  26. 12
  27. 12
  28. 30
  29. 210
  30. 2
  31. 63
  32. 231
  33. 28
  34. 14
  35. 220
  36. 5
  37. 84
  38. 70
  39. 2
  40. 14

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