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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 824 · 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 40 and 30.
  2. 2.Find the HCF of 15 and 10.
  3. 3.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 40. What is the other number?
  4. 4.Find the HCF of 12 and 27.
  5. 5.Find the HCF of 12 and 18.
  6. 6.Find the LCM of 15 and 27.
  7. 7.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 32. What is the other number?
  8. 8.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 35. What is the other number?
  9. 9.Find the LCM of 8 and 6.
  10. 10.Find the HCF of 32 and 56.
  11. 11.Find the HCF of 56 and 24.
  12. 12.Find the LCM of 12, 6 and 15.
  13. 13.Find the LCM of 15, 10 and 7.
  14. 14.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 12. What is the other number?
  15. 15.Find the HCF of 126 and 98.
  16. 16.Find the LCM of 2, 12 and 3.
  17. 17.The HCF of two numbers is 9 and their LCM is 315. One of the numbers is 63. What is the other number?
  18. 18.Find the LCM of 12 and 54.
  19. 19.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 10. What is the other number?
  20. 20.The HCF of two numbers is 7 and their LCM is 210. One of the numbers is 35. What is the other number?
  21. 21.Find the LCM of 4 and 3.
  22. 22.Find the HCF of 52 and 117.
  23. 23.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 14. What is the other number?
  24. 24.Find the HCF of 40 and 72.
  25. 25.The HCF of two numbers is 5 and their LCM is 360. One of the numbers is 40. What is the other number?
  26. 26.Find the LCM of 6, 8 and 15.
  27. 27.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 20. What is the other number?
  28. 28.Find the LCM of 7 and 3.
  29. 29.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 16. What is the other number?
  30. 30.Find the HCF of 45 and 18.
  31. 31.Find the LCM of 3, 14 and 4.
  32. 32.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 45. What is the other number?
  33. 33.Find the LCM of 9, 4 and 5.
  34. 34.Find the HCF of 18 and 30.
  35. 35.Find the HCF of 14 and 6.
  36. 36.Find the LCM of 7 and 2.
  37. 37.Find the HCF of 45 and 105.
  38. 38.Find the LCM of 45 and 25.
  39. 39.Find the HCF of 27 and 21.
  40. 40.Find the LCM of 36 and 32.

Answer key

  1. 10
  2. 5
  3. 24
  4. 3
  5. 6
  6. 135
  7. 12
  8. 45
  9. 24
  10. 8
  11. 8
  12. 60
  13. 210
  14. 27
  15. 14
  16. 12
  17. 45
  18. 108
  19. 25
  20. 42
  21. 12
  22. 13
  23. 18
  24. 8
  25. 45
  26. 120
  27. 15
  28. 21
  29. 14
  30. 9
  31. 84
  32. 18
  33. 180
  34. 6
  35. 2
  36. 14
  37. 15
  38. 225
  39. 3
  40. 288

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