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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 925 · 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 648. One of the numbers is 72. What is the other number?
  2. 2.Find the LCM of 11, 4 and 10.
  3. 3.Find the HCF of 88 and 77.
  4. 4.Find the LCM of 12, 3 and 10.
  5. 5.Find the LCM of 3, 5 and 6.
  6. 6.Find the HCF of 56 and 49.
  7. 7.Find the HCF of 98 and 126.
  8. 8.Find the LCM of 12, 8 and 9.
  9. 9.Find the LCM of 6, 5 and 2.
  10. 10.Find the HCF of 55 and 22.
  11. 11.Find the LCM of 5, 15 and 2.
  12. 12.Find the HCF of 4 and 6.
  13. 13.Find the HCF of 27 and 12.
  14. 14.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 18. What is the other number?
  15. 15.Find the HCF of 60 and 24.
  16. 16.Find the LCM of 2 and 9.
  17. 17.Find the LCM of 28 and 8.
  18. 18.Find the HCF of 56 and 42.
  19. 19.Find the LCM of 27 and 15.
  20. 20.Find the LCM of 15, 4 and 2.
  21. 21.Find the LCM of 42 and 54.
  22. 22.Find the LCM of 7, 9 and 6.
  23. 23.Find the LCM of 13, 3 and 2.
  24. 24.Find the LCM of 15 and 9.
  25. 25.Find the LCM of 5, 12 and 15.
  26. 26.The HCF of two numbers is 3 and their LCM is 168. One of the numbers is 21. What is the other number?
  27. 27.Find the LCM of 54 and 42.
  28. 28.Find the HCF of 30 and 70.
  29. 29.Find the HCF of 15 and 40.
  30. 30.Find the HCF of 48 and 54.
  31. 31.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 42. What is the other number?
  32. 32.Find the HCF of 81 and 18.
  33. 33.Find the LCM of 42 and 12.
  34. 34.Find the LCM of 15, 7 and 2.
  35. 35.Find the HCF of 18 and 42.
  36. 36.Find the LCM of 24 and 54.
  37. 37.Find the LCM of 28 and 32.
  38. 38.Find the LCM of 4, 11 and 10.
  39. 39.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 8. What is the other number?
  40. 40.Find the HCF of 21 and 49.

Answer key

  1. 81
  2. 220
  3. 11
  4. 60
  5. 30
  6. 7
  7. 14
  8. 72
  9. 30
  10. 11
  11. 30
  12. 2
  13. 3
  14. 81
  15. 12
  16. 18
  17. 56
  18. 14
  19. 135
  20. 60
  21. 378
  22. 126
  23. 78
  24. 45
  25. 60
  26. 24
  27. 378
  28. 10
  29. 5
  30. 6
  31. 18
  32. 9
  33. 84
  34. 210
  35. 6
  36. 216
  37. 224
  38. 220
  39. 36
  40. 7

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