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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 914 · 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 9 and their LCM is 378. One of the numbers is 54. What is the other number?
  2. 2.Find the HCF of 90 and 70.
  3. 3.Find the LCM of 54 and 30.
  4. 4.Find the HCF of 36 and 48.
  5. 5.Find the HCF of 14 and 6.
  6. 6.The HCF of two numbers is 8 and their LCM is 576. One of the numbers is 72. What is the other number?
  7. 7.Find the LCM of 18 and 48.
  8. 8.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 18. What is the other number?
  9. 9.Find the HCF of 90 and 80.
  10. 10.Find the LCM of 48 and 42.
  11. 11.Find the LCM of 24 and 9.
  12. 12.Find the HCF of 70 and 28.
  13. 13.Find the HCF of 28 and 20.
  14. 14.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 27. What is the other number?
  15. 15.Find the LCM of 18 and 30.
  16. 16.Find the LCM of 4, 14 and 2.
  17. 17.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 24. What is the other number?
  18. 18.Find the HCF of 20 and 32.
  19. 19.Find the LCM of 3, 9 and 4.
  20. 20.Find the HCF of 16 and 28.
  21. 21.Find the HCF of 10 and 4.
  22. 22.Find the LCM of 4, 5 and 3.
  23. 23.Find the HCF of 28 and 32.
  24. 24.Find the HCF of 112 and 126.
  25. 25.Find the LCM of 12, 6 and 4.
  26. 26.Find the LCM of 2, 12 and 15.
  27. 27.Find the HCF of 25 and 15.
  28. 28.Find the LCM of 8 and 7.
  29. 29.Find the HCF of 15 and 40.
  30. 30.Find the HCF of 12 and 16.
  31. 31.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 63. What is the other number?
  32. 32.Find the HCF of 52 and 65.
  33. 33.Find the HCF of 6 and 16.
  34. 34.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 8. What is the other number?
  35. 35.Find the LCM of 11, 3 and 12.
  36. 36.Find the LCM of 45 and 20.
  37. 37.Find the HCF of 35 and 14.
  38. 38.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 28. What is the other number?
  39. 39.Find the LCM of 13, 14 and 7.
  40. 40.Find the LCM of 11, 3 and 4.

Answer key

  1. 63
  2. 10
  3. 270
  4. 12
  5. 2
  6. 64
  7. 144
  8. 81
  9. 10
  10. 336
  11. 72
  12. 14
  13. 4
  14. 18
  15. 90
  16. 28
  17. 42
  18. 4
  19. 36
  20. 4
  21. 2
  22. 60
  23. 4
  24. 14
  25. 12
  26. 60
  27. 5
  28. 56
  29. 5
  30. 4
  31. 72
  32. 13
  33. 2
  34. 18
  35. 132
  36. 180
  37. 7
  38. 32
  39. 182
  40. 132

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