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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 942 · 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 52 and 117.
  2. 2.Find the LCM of 20 and 16.
  3. 3.Find the HCF of 30 and 12.
  4. 4.Find the LCM of 10, 14 and 3.
  5. 5.Find the LCM of 8 and 10.
  6. 6.Find the LCM of 21 and 18.
  7. 7.Find the LCM of 6, 2 and 15.
  8. 8.Find the HCF of 28 and 49.
  9. 9.Find the HCF of 12 and 42.
  10. 10.Find the LCM of 13, 3 and 6.
  11. 11.Find the HCF of 90 and 75.
  12. 12.Find the HCF of 30 and 35.
  13. 13.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 15. What is the other number?
  14. 14.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 6. What is the other number?
  15. 15.Find the LCM of 5, 10 and 9.
  16. 16.The HCF of two numbers is 9 and their LCM is 324. One of the numbers is 81. What is the other number?
  17. 17.Find the LCM of 2 and 7.
  18. 18.Find the LCM of 21 and 9.
  19. 19.Find the LCM of 8 and 28.
  20. 20.Find the LCM of 4 and 18.
  21. 21.Find the HCF of 22 and 77.
  22. 22.Find the LCM of 18 and 8.
  23. 23.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 48. What is the other number?
  24. 24.Find the HCF of 12 and 15.
  25. 25.Find the HCF of 63 and 81.
  26. 26.Find the LCM of 6, 15 and 7.
  27. 27.Find the LCM of 3, 7 and 10.
  28. 28.Find the HCF of 21 and 56.
  29. 29.Find the LCM of 14, 3 and 2.
  30. 30.Find the LCM of 3, 6 and 14.
  31. 31.Find the HCF of 44 and 33.
  32. 32.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 24. What is the other number?
  33. 33.The HCF of two numbers is 6 and their LCM is 336. One of the numbers is 48. What is the other number?
  34. 34.Find the LCM of 7 and 3.
  35. 35.Find the HCF of 6 and 14.
  36. 36.Find the LCM of 9 and 24.
  37. 37.Find the HCF of 54 and 48.
  38. 38.Find the LCM of 15 and 27.
  39. 39.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 28. What is the other number?
  40. 40.The HCF of two numbers is 8 and their LCM is 168. One of the numbers is 56. What is the other number?

Answer key

  1. 13
  2. 80
  3. 6
  4. 210
  5. 40
  6. 126
  7. 30
  8. 7
  9. 6
  10. 78
  11. 15
  12. 5
  13. 10
  14. 4
  15. 90
  16. 36
  17. 14
  18. 63
  19. 56
  20. 36
  21. 11
  22. 72
  23. 56
  24. 3
  25. 9
  26. 210
  27. 210
  28. 7
  29. 42
  30. 42
  31. 11
  32. 18
  33. 42
  34. 21
  35. 2
  36. 72
  37. 6
  38. 135
  39. 8
  40. 24

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