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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 487 · 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 65 and 78.
  2. 2.Find the LCM of 9, 4 and 3.
  3. 3.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 9. What is the other number?
  4. 4.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 4. What is the other number?
  5. 5.Find the LCM of 3 and 7.
  6. 6.Find the HCF of 36 and 8.
  7. 7.The HCF of two numbers is 7 and their LCM is 252. One of the numbers is 28. What is the other number?
  8. 8.Find the LCM of 45 and 10.
  9. 9.Find the LCM of 14 and 8.
  10. 10.Find the LCM of 7, 3 and 9.
  11. 11.Find the HCF of 28 and 8.
  12. 12.Find the LCM of 2, 4 and 14.
  13. 13.Find the LCM of 3, 8 and 4.
  14. 14.Find the LCM of 7 and 5.
  15. 15.Find the LCM of 35 and 40.
  16. 16.Find the LCM of 4, 14 and 3.
  17. 17.Find the LCM of 4, 5 and 15.
  18. 18.Find the LCM of 20 and 24.
  19. 19.Find the HCF of 30 and 54.
  20. 20.Find the LCM of 6, 12 and 14.
  21. 21.Find the LCM of 12, 8 and 14.
  22. 22.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 12. What is the other number?
  23. 23.Find the LCM of 48 and 30.
  24. 24.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 35. What is the other number?
  25. 25.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 63. What is the other number?
  26. 26.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 72. What is the other number?
  27. 27.Find the HCF of 60 and 75.
  28. 28.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 49. What is the other number?
  29. 29.Find the LCM of 25 and 35.
  30. 30.Find the HCF of 16 and 28.
  31. 31.Find the HCF of 21 and 24.
  32. 32.Find the LCM of 7, 15 and 3.
  33. 33.Find the LCM of 14 and 6.
  34. 34.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 12. What is the other number?
  35. 35.Find the HCF of 10 and 4.
  36. 36.Find the HCF of 70 and 40.
  37. 37.Find the HCF of 48 and 18.
  38. 38.Find the LCM of 8, 4 and 3.
  39. 39.Find the LCM of 8, 3 and 10.
  40. 40.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 12. What is the other number?

Answer key

  1. 13
  2. 36
  3. 12
  4. 6
  5. 21
  6. 4
  7. 63
  8. 90
  9. 56
  10. 63
  11. 4
  12. 28
  13. 24
  14. 35
  15. 280
  16. 84
  17. 60
  18. 120
  19. 6
  20. 84
  21. 168
  22. 27
  23. 240
  24. 40
  25. 18
  26. 27
  27. 15
  28. 63
  29. 175
  30. 4
  31. 3
  32. 105
  33. 42
  34. 28
  35. 2
  36. 10
  37. 6
  38. 24
  39. 120
  40. 20

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