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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 808 · 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 8 and 18.
  2. 2.Find the HCF of 12 and 42.
  3. 3.The HCF of two numbers is 4 and their LCM is 252. One of the numbers is 28. What is the other number?
  4. 4.Find the LCM of 24 and 18.
  5. 5.The HCF of two numbers is 7 and their LCM is 196. One of the numbers is 28. What is the other number?
  6. 6.Find the LCM of 2, 6 and 3.
  7. 7.Find the LCM of 2 and 3.
  8. 8.Find the HCF of 15 and 6.
  9. 9.Find the LCM of 2, 13 and 8.
  10. 10.The HCF of two numbers is 7 and their LCM is 210. One of the numbers is 35. What is the other number?
  11. 11.Find the LCM of 12, 2 and 4.
  12. 12.Find the HCF of 108 and 96.
  13. 13.The HCF of two numbers is 9 and their LCM is 324. One of the numbers is 81. What is the other number?
  14. 14.Find the LCM of 5, 14 and 4.
  15. 15.Find the LCM of 2, 6 and 4.
  16. 16.Find the LCM of 12, 4 and 11.
  17. 17.Find the LCM of 14 and 10.
  18. 18.Find the HCF of 25 and 20.
  19. 19.Find the LCM of 14, 7 and 13.
  20. 20.Find the HCF of 40 and 35.
  21. 21.Find the HCF of 15 and 18.
  22. 22.Find the LCM of 9, 5 and 12.
  23. 23.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 28. What is the other number?
  24. 24.Find the LCM of 12 and 18.
  25. 25.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 20. What is the other number?
  26. 26.Find the LCM of 7, 10 and 2.
  27. 27.Find the LCM of 3 and 4.
  28. 28.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 63. What is the other number?
  29. 29.The HCF of two numbers is 8 and their LCM is 192. One of the numbers is 24. What is the other number?
  30. 30.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 4. What is the other number?
  31. 31.Find the LCM of 8, 12 and 10.
  32. 32.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 10. What is the other number?
  33. 33.Find the LCM of 30 and 42.
  34. 34.Find the LCM of 2, 14 and 6.
  35. 35.Find the LCM of 14, 2 and 6.
  36. 36.Find the LCM of 15, 2 and 4.
  37. 37.Find the LCM of 18 and 12.
  38. 38.Find the LCM of 9, 15 and 6.
  39. 39.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 45. What is the other number?
  40. 40.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 35. What is the other number?

Answer key

  1. 2
  2. 6
  3. 36
  4. 72
  5. 49
  6. 6
  7. 6
  8. 3
  9. 104
  10. 42
  11. 12
  12. 12
  13. 36
  14. 140
  15. 12
  16. 132
  17. 70
  18. 5
  19. 182
  20. 5
  21. 3
  22. 180
  23. 12
  24. 36
  25. 12
  26. 70
  27. 12
  28. 49
  29. 64
  30. 14
  31. 120
  32. 25
  33. 210
  34. 42
  35. 42
  36. 60
  37. 36
  38. 90
  39. 18
  40. 40

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