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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 920 · 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 15 and 21.
  2. 2.Find the LCM of 8, 4 and 7.
  3. 3.Find the LCM of 14, 2 and 6.
  4. 4.Find the LCM of 14, 5 and 3.
  5. 5.Find the LCM of 48 and 18.
  6. 6.Find the HCF of 105 and 60.
  7. 7.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 35. What is the other number?
  8. 8.Find the HCF of 20 and 28.
  9. 9.Find the LCM of 6, 3 and 14.
  10. 10.Find the HCF of 8 and 28.
  11. 11.Find the LCM of 6 and 5.
  12. 12.Find the LCM of 6, 5 and 9.
  13. 13.Find the LCM of 12 and 32.
  14. 14.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 6. What is the other number?
  15. 15.The HCF of two numbers is 8 and their LCM is 360. One of the numbers is 40. What is the other number?
  16. 16.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 18. What is the other number?
  17. 17.Find the LCM of 5, 10 and 9.
  18. 18.Find the HCF of 55 and 33.
  19. 19.Find the HCF of 50 and 20.
  20. 20.Find the LCM of 24 and 28.
  21. 21.Find the LCM of 3, 11 and 12.
  22. 22.Find the LCM of 8, 6 and 3.
  23. 23.Find the LCM of 18 and 16.
  24. 24.Find the HCF of 16 and 56.
  25. 25.Find the LCM of 8 and 12.
  26. 26.Find the LCM of 14 and 18.
  27. 27.Find the HCF of 42 and 48.
  28. 28.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 18. What is the other number?
  29. 29.Find the HCF of 6 and 16.
  30. 30.Find the HCF of 12 and 18.
  31. 31.Find the LCM of 20 and 8.
  32. 32.Find the LCM of 5, 10 and 11.
  33. 33.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 12. What is the other number?
  34. 34.Find the LCM of 12 and 14.
  35. 35.Find the LCM of 15 and 27.
  36. 36.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 63. What is the other number?
  37. 37.Find the LCM of 8 and 6.
  38. 38.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 8. What is the other number?
  39. 39.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 15. What is the other number?
  40. 40.Find the HCF of 30 and 40.

Answer key

  1. 3
  2. 56
  3. 42
  4. 210
  5. 144
  6. 15
  7. 15
  8. 4
  9. 42
  10. 4
  11. 30
  12. 90
  13. 96
  14. 9
  15. 72
  16. 14
  17. 90
  18. 11
  19. 10
  20. 168
  21. 132
  22. 24
  23. 144
  24. 8
  25. 24
  26. 126
  27. 6
  28. 42
  29. 2
  30. 6
  31. 40
  32. 110
  33. 28
  34. 84
  35. 135
  36. 72
  37. 24
  38. 12
  39. 20
  40. 10

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