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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 580 · 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 7 and their LCM is 168. One of the numbers is 21. What is the other number?
  2. 2.Find the HCF of 9 and 24.
  3. 3.Find the HCF of 25 and 15.
  4. 4.Find the LCM of 18 and 12.
  5. 5.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 28. What is the other number?
  6. 6.Find the LCM of 3 and 7.
  7. 7.Find the HCF of 30 and 48.
  8. 8.Find the LCM of 8 and 18.
  9. 9.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 9. What is the other number?
  10. 10.Find the LCM of 4, 6 and 3.
  11. 11.Find the HCF of 112 and 98.
  12. 12.Find the LCM of 20 and 15.
  13. 13.Find the HCF of 35 and 15.
  14. 14.Find the HCF of 9 and 21.
  15. 15.Find the HCF of 65 and 39.
  16. 16.Find the HCF of 44 and 77.
  17. 17.Find the LCM of 8, 5 and 4.
  18. 18.Find the HCF of 6 and 8.
  19. 19.Find the LCM of 14, 4 and 7.
  20. 20.Find the LCM of 45 and 35.
  21. 21.Find the LCM of 24 and 18.
  22. 22.Find the LCM of 21 and 9.
  23. 23.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 18. What is the other number?
  24. 24.Find the LCM of 4, 8 and 14.
  25. 25.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 25. What is the other number?
  26. 26.Find the LCM of 15 and 21.
  27. 27.Find the LCM of 10 and 14.
  28. 28.Find the HCF of 104 and 117.
  29. 29.Find the LCM of 12 and 27.
  30. 30.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 28. What is the other number?
  31. 31.Find the LCM of 2, 12 and 8.
  32. 32.Find the LCM of 2, 10 and 7.
  33. 33.Find the LCM of 14, 5 and 15.
  34. 34.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 32. What is the other number?
  35. 35.Find the HCF of 52 and 39.
  36. 36.Find the HCF of 20 and 12.
  37. 37.Find the HCF of 104 and 39.
  38. 38.Find the LCM of 12, 6 and 15.
  39. 39.The HCF of two numbers is 9 and their LCM is 648. One of the numbers is 81. What is the other number?
  40. 40.Find the HCF of 30 and 25.

Answer key

  1. 56
  2. 3
  3. 5
  4. 36
  5. 12
  6. 21
  7. 6
  8. 72
  9. 6
  10. 12
  11. 14
  12. 60
  13. 5
  14. 3
  15. 13
  16. 11
  17. 40
  18. 2
  19. 28
  20. 315
  21. 72
  22. 63
  23. 45
  24. 56
  25. 10
  26. 105
  27. 70
  28. 13
  29. 108
  30. 21
  31. 24
  32. 70
  33. 210
  34. 56
  35. 13
  36. 4
  37. 13
  38. 60
  39. 72
  40. 5

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