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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 785 · 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 60 and 48.
  2. 2.Find the HCF of 6 and 4.
  3. 3.Find the LCM of 15, 6 and 8.
  4. 4.Find the HCF of 14 and 4.
  5. 5.Find the LCM of 13, 2 and 5.
  6. 6.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 6. What is the other number?
  7. 7.Find the LCM of 10 and 6.
  8. 8.Find the HCF of 32 and 36.
  9. 9.Find the HCF of 72 and 60.
  10. 10.Find the HCF of 15 and 27.
  11. 11.Find the LCM of 6, 9 and 12.
  12. 12.Find the LCM of 7 and 9.
  13. 13.Find the LCM of 3, 15 and 2.
  14. 14.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 18. What is the other number?
  15. 15.Find the LCM of 3, 10 and 12.
  16. 16.Find the LCM of 10, 13 and 2.
  17. 17.Find the LCM of 4 and 18.
  18. 18.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 25. What is the other number?
  19. 19.Find the LCM of 20 and 16.
  20. 20.Find the HCF of 26 and 39.
  21. 21.Find the HCF of 8 and 28.
  22. 22.Find the LCM of 3 and 2.
  23. 23.Find the HCF of 32 and 12.
  24. 24.The HCF of two numbers is 7 and their LCM is 210. One of the numbers is 42. What is the other number?
  25. 25.Find the HCF of 84 and 72.
  26. 26.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 40. What is the other number?
  27. 27.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 72. What is the other number?
  28. 28.Find the LCM of 15, 9 and 6.
  29. 29.Find the LCM of 21 and 6.
  30. 30.Find the LCM of 2, 6 and 5.
  31. 31.Find the LCM of 3, 14 and 7.
  32. 32.Find the HCF of 14 and 21.
  33. 33.Find the HCF of 45 and 35.
  34. 34.The HCF of two numbers is 4 and their LCM is 120. One of the numbers is 20. What is the other number?
  35. 35.Find the LCM of 2, 15 and 9.
  36. 36.The HCF of two numbers is 5 and their LCM is 200. One of the numbers is 25. What is the other number?
  37. 37.Find the LCM of 12 and 21.
  38. 38.Find the HCF of 50 and 70.
  39. 39.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 40. What is the other number?
  40. 40.Find the HCF of 36 and 24.

Answer key

  1. 12
  2. 2
  3. 120
  4. 2
  5. 130
  6. 16
  7. 30
  8. 4
  9. 12
  10. 3
  11. 36
  12. 63
  13. 30
  14. 21
  15. 60
  16. 130
  17. 36
  18. 30
  19. 80
  20. 13
  21. 4
  22. 6
  23. 4
  24. 35
  25. 12
  26. 16
  27. 27
  28. 90
  29. 42
  30. 30
  31. 42
  32. 7
  33. 5
  34. 24
  35. 90
  36. 40
  37. 84
  38. 10
  39. 15
  40. 12

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