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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 304 · 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 30 and 12.
  2. 2.Find the LCM of 5 and 6.
  3. 3.Find the HCF of 45 and 25.
  4. 4.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 9. What is the other number?
  5. 5.The HCF of two numbers is 9 and their LCM is 648. One of the numbers is 72. What is the other number?
  6. 6.Find the HCF of 27 and 21.
  7. 7.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 27. What is the other number?
  8. 8.Find the LCM of 25 and 10.
  9. 9.Find the LCM of 7 and 2.
  10. 10.Find the HCF of 15 and 21.
  11. 11.Find the HCF of 35 and 56.
  12. 12.The HCF of two numbers is 9 and their LCM is 378. One of the numbers is 54. What is the other number?
  13. 13.Find the LCM of 4, 2 and 7.
  14. 14.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 12. What is the other number?
  15. 15.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 8. What is the other number?
  16. 16.The HCF of two numbers is 5 and their LCM is 180. One of the numbers is 20. What is the other number?
  17. 17.Find the HCF of 22 and 33.
  18. 18.Find the HCF of 104 and 65.
  19. 19.Find the HCF of 36 and 24.
  20. 20.Find the LCM of 15 and 25.
  21. 21.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 63. What is the other number?
  22. 22.Find the LCM of 12 and 10.
  23. 23.Find the HCF of 70 and 42.
  24. 24.Find the HCF of 60 and 50.
  25. 25.Find the LCM of 9 and 8.
  26. 26.Find the HCF of 96 and 36.
  27. 27.Find the HCF of 55 and 22.
  28. 28.The HCF of two numbers is 9 and their LCM is 135. One of the numbers is 27. What is the other number?
  29. 29.Find the HCF of 22 and 77.
  30. 30.Find the LCM of 9, 8 and 2.
  31. 31.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 18. What is the other number?
  32. 32.Find the LCM of 7, 6 and 9.
  33. 33.Find the HCF of 14 and 8.
  34. 34.Find the HCF of 20 and 24.
  35. 35.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 35. What is the other number?
  36. 36.Find the LCM of 5 and 9.
  37. 37.Find the LCM of 2, 4 and 15.
  38. 38.The HCF of two numbers is 7 and their LCM is 392. One of the numbers is 49. What is the other number?
  39. 39.Find the LCM of 9 and 21.
  40. 40.Find the LCM of 4, 10 and 7.

Answer key

  1. 6
  2. 30
  3. 5
  4. 6
  5. 81
  6. 3
  7. 12
  8. 50
  9. 14
  10. 3
  11. 7
  12. 63
  13. 28
  14. 21
  15. 18
  16. 45
  17. 11
  18. 13
  19. 12
  20. 75
  21. 14
  22. 60
  23. 14
  24. 10
  25. 72
  26. 12
  27. 11
  28. 45
  29. 11
  30. 72
  31. 14
  32. 126
  33. 2
  34. 4
  35. 14
  36. 45
  37. 60
  38. 56
  39. 63
  40. 140

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