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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 936 · 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 LCM of 35 and 20.
  2. 2.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 15. What is the other number?
  3. 3.Find the LCM of 5, 15 and 12.
  4. 4.Find the LCM of 16 and 12.
  5. 5.The HCF of two numbers is 5 and their LCM is 100. One of the numbers is 25. What is the other number?
  6. 6.Find the HCF of 8 and 36.
  7. 7.The HCF of two numbers is 6 and their LCM is 216. One of the numbers is 54. What is the other number?
  8. 8.Find the LCM of 10, 5 and 3.
  9. 9.Find the HCF of 14 and 6.
  10. 10.Find the LCM of 7, 15 and 5.
  11. 11.Find the HCF of 27 and 21.
  12. 12.Find the HCF of 24 and 15.
  13. 13.The HCF of two numbers is 5 and their LCM is 175. One of the numbers is 35. What is the other number?
  14. 14.Find the LCM of 28 and 12.
  15. 15.Find the LCM of 14 and 16.
  16. 16.Find the LCM of 12 and 27.
  17. 17.Find the LCM of 9 and 12.
  18. 18.Find the LCM of 54 and 30.
  19. 19.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 18. What is the other number?
  20. 20.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 15. What is the other number?
  21. 21.Find the LCM of 20 and 36.
  22. 22.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 4. What is the other number?
  23. 23.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 36. What is the other number?
  24. 24.Find the LCM of 10 and 14.
  25. 25.Find the HCF of 6 and 21.
  26. 26.Find the HCF of 63 and 54.
  27. 27.The HCF of two numbers is 7 and their LCM is 196. One of the numbers is 28. What is the other number?
  28. 28.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 63. What is the other number?
  29. 29.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 15. What is the other number?
  30. 30.Find the HCF of 6 and 27.
  31. 31.Find the LCM of 10 and 8.
  32. 32.Find the HCF of 20 and 25.
  33. 33.Find the HCF of 30 and 80.
  34. 34.Find the HCF of 6 and 4.
  35. 35.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 40. What is the other number?
  36. 36.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 32. What is the other number?
  37. 37.Find the HCF of 32 and 40.
  38. 38.Find the LCM of 10, 2 and 4.
  39. 39.Find the HCF of 55 and 22.
  40. 40.Find the HCF of 16 and 40.

Answer key

  1. 140
  2. 24
  3. 60
  4. 48
  5. 20
  6. 4
  7. 24
  8. 30
  9. 2
  10. 105
  11. 3
  12. 3
  13. 25
  14. 84
  15. 112
  16. 108
  17. 36
  18. 270
  19. 12
  20. 27
  21. 180
  22. 10
  23. 45
  24. 70
  25. 3
  26. 9
  27. 49
  28. 36
  29. 40
  30. 3
  31. 40
  32. 5
  33. 10
  34. 2
  35. 24
  36. 24
  37. 8
  38. 20
  39. 11
  40. 8

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