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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 883 · 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.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 4. What is the other number?
  2. 2.Find the LCM of 4 and 14.
  3. 3.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 28. What is the other number?
  4. 4.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 32. What is the other number?
  5. 5.Find the LCM of 24 and 18.
  6. 6.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 28. What is the other number?
  7. 7.Find the LCM of 28 and 36.
  8. 8.Find the LCM of 25 and 20.
  9. 9.Find the LCM of 21 and 9.
  10. 10.Find the LCM of 20 and 12.
  11. 11.Find the HCF of 70 and 42.
  12. 12.Find the HCF of 70 and 20.
  13. 13.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 27. What is the other number?
  14. 14.Find the LCM of 32 and 12.
  15. 15.Find the LCM of 3, 14 and 8.
  16. 16.Find the HCF of 21 and 6.
  17. 17.Find the HCF of 45 and 54.
  18. 18.Find the HCF of 44 and 99.
  19. 19.Find the LCM of 9 and 2.
  20. 20.Find the LCM of 5 and 3.
  21. 21.Find the LCM of 4 and 3.
  22. 22.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 16. What is the other number?
  23. 23.Find the HCF of 30 and 20.
  24. 24.Find the LCM of 25 and 40.
  25. 25.Find the HCF of 45 and 10.
  26. 26.Find the LCM of 32 and 28.
  27. 27.Find the LCM of 18 and 42.
  28. 28.Find the LCM of 12 and 28.
  29. 29.Find the HCF of 8 and 18.
  30. 30.Find the LCM of 2, 12 and 5.
  31. 31.Find the HCF of 48 and 54.
  32. 32.Find the HCF of 84 and 36.
  33. 33.Find the LCM of 12, 2 and 11.
  34. 34.Find the LCM of 2, 14 and 5.
  35. 35.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 15. What is the other number?
  36. 36.Find the HCF of 27 and 21.
  37. 37.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 18. What is the other number?
  38. 38.Find the LCM of 30 and 42.
  39. 39.Find the LCM of 54 and 42.
  40. 40.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 42. What is the other number?

Answer key

  1. 14
  2. 28
  3. 21
  4. 36
  5. 72
  6. 12
  7. 252
  8. 100
  9. 63
  10. 60
  11. 14
  12. 10
  13. 15
  14. 96
  15. 168
  16. 3
  17. 9
  18. 11
  19. 18
  20. 15
  21. 12
  22. 14
  23. 10
  24. 200
  25. 5
  26. 224
  27. 126
  28. 84
  29. 2
  30. 60
  31. 6
  32. 12
  33. 132
  34. 70
  35. 9
  36. 3
  37. 27
  38. 210
  39. 378
  40. 12

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