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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 933 · 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.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 36. What is the other number?
  2. 2.Find the LCM of 54 and 30.
  3. 3.Find the LCM of 5, 3 and 11.
  4. 4.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 28. What is the other number?
  5. 5.Find the LCM of 7, 10 and 5.
  6. 6.Find the LCM of 10 and 35.
  7. 7.Find the LCM of 35 and 45.
  8. 8.Find the HCF of 10 and 15.
  9. 9.Find the LCM of 3, 6 and 2.
  10. 10.The HCF of two numbers is 7 and their LCM is 196. One of the numbers is 28. What is the other number?
  11. 11.The HCF of two numbers is 8 and their LCM is 280. One of the numbers is 56. What is the other number?
  12. 12.The HCF of two numbers is 8 and their LCM is 360. One of the numbers is 40. What is the other number?
  13. 13.Find the LCM of 12 and 15.
  14. 14.Find the LCM of 5 and 4.
  15. 15.Find the HCF of 6 and 15.
  16. 16.Find the LCM of 11, 12 and 2.
  17. 17.Find the HCF of 45 and 10.
  18. 18.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 8. What is the other number?
  19. 19.Find the HCF of 16 and 40.
  20. 20.Find the LCM of 6, 9 and 10.
  21. 21.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 6. What is the other number?
  22. 22.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 24. What is the other number?
  23. 23.Find the HCF of 33 and 44.
  24. 24.Find the HCF of 32 and 12.
  25. 25.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 27. What is the other number?
  26. 26.Find the HCF of 12 and 10.
  27. 27.Find the LCM of 40 and 35.
  28. 28.Find the LCM of 8, 2 and 5.
  29. 29.Find the HCF of 12 and 16.
  30. 30.Find the LCM of 18 and 30.
  31. 31.Find the HCF of 126 and 28.
  32. 32.Find the LCM of 15 and 10.
  33. 33.The HCF of two numbers is 2 and their LCM is 40. One of the numbers is 10. What is the other number?
  34. 34.Find the HCF of 91 and 39.
  35. 35.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 18. What is the other number?
  36. 36.Find the LCM of 8, 12 and 10.
  37. 37.The HCF of two numbers is 2 and their LCM is 60. One of the numbers is 12. What is the other number?
  38. 38.Find the LCM of 14, 7 and 2.
  39. 39.Find the HCF of 63 and 35.
  40. 40.Find the HCF of 24 and 16.

Answer key

  1. 27
  2. 270
  3. 165
  4. 35
  5. 70
  6. 70
  7. 315
  8. 5
  9. 6
  10. 49
  11. 40
  12. 72
  13. 60
  14. 20
  15. 3
  16. 132
  17. 5
  18. 20
  19. 8
  20. 90
  21. 9
  22. 27
  23. 11
  24. 4
  25. 36
  26. 2
  27. 280
  28. 40
  29. 4
  30. 90
  31. 14
  32. 30
  33. 8
  34. 13
  35. 10
  36. 120
  37. 10
  38. 14
  39. 7
  40. 8

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