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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 947 · 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 52 and 117.
  2. 2.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 10. What is the other number?
  3. 3.Find the HCF of 36 and 60.
  4. 4.Find the LCM of 10 and 45.
  5. 5.Find the HCF of 12 and 27.
  6. 6.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 63. What is the other number?
  7. 7.Find the HCF of 40 and 35.
  8. 8.Find the HCF of 32 and 40.
  9. 9.Find the HCF of 20 and 35.
  10. 10.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 6. What is the other number?
  11. 11.Find the LCM of 54 and 24.
  12. 12.Find the LCM of 25 and 30.
  13. 13.Find the HCF of 84 and 108.
  14. 14.Find the LCM of 3, 4 and 5.
  15. 15.Find the LCM of 18 and 42.
  16. 16.Find the LCM of 5, 11 and 4.
  17. 17.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 15. What is the other number?
  18. 18.Find the LCM of 27 and 12.
  19. 19.Find the LCM of 18 and 30.
  20. 20.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 14. What is the other number?
  21. 21.Find the LCM of 6, 5 and 14.
  22. 22.Find the HCF of 27 and 21.
  23. 23.Find the HCF of 16 and 12.
  24. 24.Find the LCM of 14, 2 and 13.
  25. 25.Find the HCF of 120 and 135.
  26. 26.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 63. What is the other number?
  27. 27.Find the HCF of 20 and 12.
  28. 28.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 24. What is the other number?
  29. 29.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 18. What is the other number?
  30. 30.Find the LCM of 15, 3 and 12.
  31. 31.Find the HCF of 28 and 49.
  32. 32.Find the LCM of 3, 11 and 12.
  33. 33.Find the LCM of 2 and 5.
  34. 34.Find the HCF of 45 and 81.
  35. 35.Find the LCM of 12 and 15.
  36. 36.Find the LCM of 7 and 6.
  37. 37.Find the LCM of 15 and 25.
  38. 38.Find the LCM of 10, 9 and 5.
  39. 39.Find the LCM of 5 and 3.
  40. 40.Find the LCM of 15, 5 and 3.

Answer key

  1. 13
  2. 15
  3. 12
  4. 90
  5. 3
  6. 81
  7. 5
  8. 8
  9. 5
  10. 21
  11. 216
  12. 150
  13. 12
  14. 60
  15. 126
  16. 220
  17. 6
  18. 108
  19. 90
  20. 4
  21. 210
  22. 3
  23. 4
  24. 182
  25. 15
  26. 18
  27. 4
  28. 9
  29. 42
  30. 60
  31. 7
  32. 132
  33. 10
  34. 9
  35. 60
  36. 42
  37. 75
  38. 90
  39. 15
  40. 15

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