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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 923 · 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 7 and their LCM is 168. One of the numbers is 21. What is the other number?
  2. 2.Find the LCM of 5 and 4.
  3. 3.Find the HCF of 6 and 16.
  4. 4.Find the LCM of 28 and 12.
  5. 5.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 16. What is the other number?
  6. 6.Find the LCM of 18 and 48.
  7. 7.The HCF of two numbers is 4 and their LCM is 80. One of the numbers is 16. What is the other number?
  8. 8.Find the HCF of 96 and 60.
  9. 9.Find the LCM of 3, 7 and 14.
  10. 10.Find the LCM of 9 and 5.
  11. 11.Find the LCM of 9 and 12.
  12. 12.Find the LCM of 3, 4 and 5.
  13. 13.Find the HCF of 21 and 6.
  14. 14.Find the LCM of 18 and 15.
  15. 15.Find the LCM of 6, 3 and 14.
  16. 16.The HCF of two numbers is 8 and their LCM is 448. One of the numbers is 64. What is the other number?
  17. 17.Find the HCF of 24 and 84.
  18. 18.Find the HCF of 44 and 99.
  19. 19.Find the HCF of 42 and 56.
  20. 20.Find the LCM of 20 and 16.
  21. 21.Find the LCM of 7, 3 and 8.
  22. 22.Find the LCM of 12 and 14.
  23. 23.Find the LCM of 4 and 7.
  24. 24.Find the HCF of 72 and 32.
  25. 25.Find the HCF of 84 and 98.
  26. 26.Find the LCM of 54 and 48.
  27. 27.Find the LCM of 5, 10 and 3.
  28. 28.Find the HCF of 91 and 104.
  29. 29.Find the HCF of 96 and 108.
  30. 30.Find the HCF of 42 and 12.
  31. 31.The HCF of two numbers is 7 and their LCM is 105. One of the numbers is 35. What is the other number?
  32. 32.Find the LCM of 18 and 14.
  33. 33.Find the HCF of 49 and 63.
  34. 34.Find the LCM of 6, 3 and 12.
  35. 35.Find the HCF of 91 and 39.
  36. 36.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 42. What is the other number?
  37. 37.Find the LCM of 6 and 8.
  38. 38.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 14. What is the other number?
  39. 39.Find the LCM of 8 and 3.
  40. 40.Find the HCF of 24 and 20.

Answer key

  1. 56
  2. 20
  3. 2
  4. 84
  5. 10
  6. 144
  7. 20
  8. 12
  9. 42
  10. 45
  11. 36
  12. 60
  13. 3
  14. 90
  15. 42
  16. 56
  17. 12
  18. 11
  19. 14
  20. 80
  21. 168
  22. 84
  23. 28
  24. 8
  25. 14
  26. 432
  27. 30
  28. 13
  29. 12
  30. 6
  31. 21
  32. 126
  33. 7
  34. 12
  35. 13
  36. 24
  37. 24
  38. 8
  39. 24
  40. 4

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