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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 784 · 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 LCM of 20 and 8.
  2. 2.Find the HCF of 33 and 77.
  3. 3.Find the HCF of 20 and 70.
  4. 4.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 35. What is the other number?
  5. 5.Find the LCM of 4, 3 and 12.
  6. 6.Find the LCM of 42 and 24.
  7. 7.Find the LCM of 5, 4 and 12.
  8. 8.Find the LCM of 12 and 10.
  9. 9.Find the LCM of 14 and 10.
  10. 10.The HCF of two numbers is 8 and their LCM is 280. One of the numbers is 40. What is the other number?
  11. 11.Find the HCF of 21 and 49.
  12. 12.Find the LCM of 3, 8 and 6.
  13. 13.The HCF of two numbers is 3 and their LCM is 189. One of the numbers is 27. What is the other number?
  14. 14.Find the LCM of 10, 9 and 3.
  15. 15.Find the LCM of 7 and 6.
  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 LCM of 8, 4 and 6.
  18. 18.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 36. What is the other number?
  19. 19.Find the HCF of 70 and 42.
  20. 20.Find the LCM of 13, 2 and 3.
  21. 21.Find the HCF of 6 and 8.
  22. 22.Find the HCF of 90 and 80.
  23. 23.Find the LCM of 8, 5 and 2.
  24. 24.Find the LCM of 2 and 9.
  25. 25.Find the LCM of 28 and 12.
  26. 26.Find the HCF of 30 and 35.
  27. 27.Find the LCM of 4 and 6.
  28. 28.Find the LCM of 4, 6 and 14.
  29. 29.Find the LCM of 6, 9 and 12.
  30. 30.Find the HCF of 96 and 108.
  31. 31.The HCF of two numbers is 7 and their LCM is 504. One of the numbers is 56. What is the other number?
  32. 32.Find the LCM of 21 and 12.
  33. 33.Find the LCM of 40 and 15.
  34. 34.Find the HCF of 36 and 16.
  35. 35.Find the LCM of 16 and 20.
  36. 36.Find the HCF of 15 and 9.
  37. 37.Find the LCM of 4, 6 and 2.
  38. 38.Find the LCM of 2, 7 and 4.
  39. 39.Find the LCM of 3, 11 and 2.
  40. 40.Find the HCF of 48 and 84.

Answer key

  1. 40
  2. 11
  3. 10
  4. 45
  5. 12
  6. 168
  7. 60
  8. 60
  9. 70
  10. 56
  11. 7
  12. 24
  13. 21
  14. 90
  15. 42
  16. 56
  17. 24
  18. 27
  19. 14
  20. 78
  21. 2
  22. 10
  23. 40
  24. 18
  25. 84
  26. 5
  27. 12
  28. 84
  29. 36
  30. 12
  31. 63
  32. 84
  33. 120
  34. 4
  35. 80
  36. 3
  37. 12
  38. 28
  39. 66
  40. 12

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