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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 935 · 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 64 and 40.
  2. 2.Find the LCM of 14 and 12.
  3. 3.Find the HCF of 20 and 16.
  4. 4.Find the LCM of 15 and 12.
  5. 5.Find the LCM of 7 and 9.
  6. 6.Find the LCM of 15 and 24.
  7. 7.Find the LCM of 3, 10 and 7.
  8. 8.Find the LCM of 12 and 20.
  9. 9.Find the LCM of 21 and 15.
  10. 10.Find the LCM of 7, 15 and 6.
  11. 11.Find the LCM of 12 and 10.
  12. 12.Find the LCM of 14, 5 and 6.
  13. 13.Find the LCM of 4, 10 and 5.
  14. 14.Find the LCM of 9, 4 and 8.
  15. 15.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 35. What is the other number?
  16. 16.The HCF of two numbers is 7 and their LCM is 168. One of the numbers is 56. What is the other number?
  17. 17.Find the HCF of 20 and 8.
  18. 18.Find the LCM of 5, 2 and 14.
  19. 19.Find the HCF of 48 and 36.
  20. 20.Find the LCM of 20 and 15.
  21. 21.Find the HCF of 8 and 6.
  22. 22.Find the LCM of 10, 4 and 7.
  23. 23.The HCF of two numbers is 4 and their LCM is 120. One of the numbers is 20. What is the other number?
  24. 24.The HCF of two numbers is 4 and their LCM is 80. One of the numbers is 16. What is the other number?
  25. 25.Find the LCM of 21 and 9.
  26. 26.Find the LCM of 2, 3 and 10.
  27. 27.Find the LCM of 5 and 2.
  28. 28.Find the HCF of 44 and 33.
  29. 29.Find the HCF of 65 and 78.
  30. 30.Find the LCM of 14 and 6.
  31. 31.Find the HCF of 9 and 12.
  32. 32.Find the HCF of 72 and 63.
  33. 33.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 15. What is the other number?
  34. 34.Find the HCF of 112 and 126.
  35. 35.Find the HCF of 10 and 14.
  36. 36.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 6. What is the other number?
  37. 37.Find the LCM of 7, 14 and 5.
  38. 38.The HCF of two numbers is 8 and their LCM is 112. One of the numbers is 56. What is the other number?
  39. 39.Find the LCM of 2 and 5.
  40. 40.Find the LCM of 28 and 36.

Answer key

  1. 8
  2. 84
  3. 4
  4. 60
  5. 63
  6. 120
  7. 210
  8. 60
  9. 105
  10. 210
  11. 60
  12. 210
  13. 20
  14. 72
  15. 10
  16. 21
  17. 4
  18. 70
  19. 12
  20. 60
  21. 2
  22. 140
  23. 24
  24. 20
  25. 63
  26. 30
  27. 10
  28. 11
  29. 13
  30. 42
  31. 3
  32. 9
  33. 25
  34. 14
  35. 2
  36. 27
  37. 70
  38. 16
  39. 10
  40. 252

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