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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 773 · 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 22 and 33.
  2. 2.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 8. What is the other number?
  3. 3.Find the LCM of 11, 2 and 7.
  4. 4.Find the LCM of 2, 3 and 6.
  5. 5.The HCF of two numbers is 9 and their LCM is 648. One of the numbers is 72. What is the other number?
  6. 6.Find the HCF of 56 and 126.
  7. 7.Find the LCM of 9, 11 and 2.
  8. 8.Find the HCF of 105 and 120.
  9. 9.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 63. What is the other number?
  10. 10.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 63. What is the other number?
  11. 11.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 16. What is the other number?
  12. 12.Find the LCM of 12 and 15.
  13. 13.Find the HCF of 28 and 36.
  14. 14.Find the LCM of 54 and 12.
  15. 15.Find the HCF of 60 and 108.
  16. 16.Find the LCM of 8 and 36.
  17. 17.Find the LCM of 24 and 20.
  18. 18.Find the LCM of 6 and 15.
  19. 19.Find the LCM of 32 and 20.
  20. 20.Find the HCF of 15 and 35.
  21. 21.Find the LCM of 14, 2 and 5.
  22. 22.Find the LCM of 28 and 24.
  23. 23.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 72. What is the other number?
  24. 24.Find the LCM of 15 and 40.
  25. 25.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 72. What is the other number?
  26. 26.Find the LCM of 9, 10 and 5.
  27. 27.The HCF of two numbers is 8 and their LCM is 576. One of the numbers is 72. What is the other number?
  28. 28.Find the LCM of 8, 13 and 4.
  29. 29.Find the HCF of 78 and 65.
  30. 30.Find the HCF of 12 and 20.
  31. 31.Find the HCF of 60 and 24.
  32. 32.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 25. What is the other number?
  33. 33.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 4. What is the other number?
  34. 34.Find the LCM of 10, 3 and 8.
  35. 35.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 16. What is the other number?
  36. 36.Find the LCM of 2, 12 and 9.
  37. 37.Find the LCM of 2 and 9.
  38. 38.Find the HCF of 112 and 42.
  39. 39.Find the HCF of 28 and 98.
  40. 40.Find the HCF of 27 and 12.

Answer key

  1. 11
  2. 14
  3. 154
  4. 6
  5. 81
  6. 14
  7. 198
  8. 15
  9. 36
  10. 72
  11. 10
  12. 60
  13. 4
  14. 108
  15. 12
  16. 72
  17. 120
  18. 30
  19. 160
  20. 5
  21. 70
  22. 168
  23. 63
  24. 120
  25. 16
  26. 90
  27. 64
  28. 104
  29. 13
  30. 4
  31. 12
  32. 10
  33. 14
  34. 120
  35. 28
  36. 36
  37. 18
  38. 14
  39. 14
  40. 3

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