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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 834 · 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 12 and 32.
  2. 2.Find the LCM of 3, 15 and 11.
  3. 3.Find the HCF of 36 and 8.
  4. 4.Find the HCF of 36 and 48.
  5. 5.Find the LCM of 24 and 27.
  6. 6.Find the HCF of 72 and 81.
  7. 7.Find the LCM of 15, 2 and 7.
  8. 8.Find the HCF of 42 and 30.
  9. 9.Find the LCM of 6, 5 and 9.
  10. 10.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 40. What is the other number?
  11. 11.Find the LCM of 28 and 12.
  12. 12.Find the HCF of 98 and 70.
  13. 13.Find the LCM of 5, 12 and 3.
  14. 14.Find the LCM of 2, 15 and 12.
  15. 15.Find the LCM of 4, 7 and 3.
  16. 16.Find the HCF of 16 and 24.
  17. 17.Find the LCM of 5, 4 and 14.
  18. 18.Find the HCF of 63 and 45.
  19. 19.Find the LCM of 32 and 20.
  20. 20.Find the LCM of 8, 4 and 15.
  21. 21.Find the HCF of 40 and 35.
  22. 22.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 15. What is the other number?
  23. 23.The HCF of two numbers is 4 and their LCM is 120. One of the numbers is 24. What is the other number?
  24. 24.Find the HCF of 22 and 55.
  25. 25.Find the HCF of 20 and 28.
  26. 26.Find the HCF of 63 and 72.
  27. 27.Find the LCM of 2, 11 and 6.
  28. 28.Find the HCF of 135 and 30.
  29. 29.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 18. What is the other number?
  30. 30.Find the HCF of 20 and 32.
  31. 31.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 16. What is the other number?
  32. 32.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 9. What is the other number?
  33. 33.Find the HCF of 40 and 25.
  34. 34.Find the LCM of 2, 8 and 12.
  35. 35.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 28. What is the other number?
  36. 36.Find the LCM of 10, 8 and 5.
  37. 37.Find the HCF of 108 and 96.
  38. 38.Find the LCM of 4 and 18.
  39. 39.Find the HCF of 72 and 40.
  40. 40.Find the LCM of 24 and 42.

Answer key

  1. 96
  2. 165
  3. 4
  4. 12
  5. 216
  6. 9
  7. 210
  8. 6
  9. 90
  10. 35
  11. 84
  12. 14
  13. 60
  14. 60
  15. 84
  16. 8
  17. 140
  18. 9
  19. 160
  20. 120
  21. 5
  22. 27
  23. 20
  24. 11
  25. 4
  26. 9
  27. 66
  28. 15
  29. 10
  30. 4
  31. 28
  32. 24
  33. 5
  34. 24
  35. 21
  36. 40
  37. 12
  38. 36
  39. 8
  40. 168

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