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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 769 · 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 75 and 135.
  2. 2.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 9. What is the other number?
  3. 3.The HCF of two numbers is 9 and their LCM is 270. One of the numbers is 45. What is the other number?
  4. 4.Find the LCM of 24 and 28.
  5. 5.Find the HCF of 20 and 32.
  6. 6.Find the LCM of 7 and 9.
  7. 7.Find the HCF of 12 and 8.
  8. 8.Find the LCM of 15 and 10.
  9. 9.Find the LCM of 14, 6 and 4.
  10. 10.Find the LCM of 25 and 45.
  11. 11.Find the HCF of 15 and 10.
  12. 12.Find the HCF of 70 and 50.
  13. 13.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 49. What is the other number?
  14. 14.The HCF of two numbers is 3 and their LCM is 168. One of the numbers is 24. What is the other number?
  15. 15.Find the LCM of 12, 3 and 4.
  16. 16.Find the LCM of 15 and 9.
  17. 17.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 10. What is the other number?
  18. 18.Find the LCM of 2, 4 and 15.
  19. 19.Find the LCM of 3, 15 and 13.
  20. 20.Find the HCF of 25 and 20.
  21. 21.Find the LCM of 30 and 42.
  22. 22.Find the LCM of 3, 11 and 7.
  23. 23.Find the HCF of 9 and 6.
  24. 24.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 30. What is the other number?
  25. 25.Find the HCF of 30 and 42.
  26. 26.Find the LCM of 8, 15 and 4.
  27. 27.Find the LCM of 3, 10 and 5.
  28. 28.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 6. What is the other number?
  29. 29.Find the HCF of 70 and 56.
  30. 30.Find the HCF of 88 and 55.
  31. 31.Find the LCM of 8, 3 and 5.
  32. 32.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 35. What is the other number?
  33. 33.Find the LCM of 20 and 24.
  34. 34.Find the HCF of 98 and 42.
  35. 35.Find the LCM of 12, 8 and 15.
  36. 36.Find the HCF of 36 and 60.
  37. 37.Find the HCF of 98 and 126.
  38. 38.Find the LCM of 36 and 8.
  39. 39.Find the HCF of 117 and 65.
  40. 40.Find the LCM of 24 and 20.

Answer key

  1. 15
  2. 6
  3. 54
  4. 168
  5. 4
  6. 63
  7. 4
  8. 30
  9. 84
  10. 225
  11. 5
  12. 10
  13. 14
  14. 21
  15. 12
  16. 45
  17. 18
  18. 60
  19. 195
  20. 5
  21. 210
  22. 231
  23. 3
  24. 18
  25. 6
  26. 120
  27. 30
  28. 16
  29. 14
  30. 11
  31. 120
  32. 56
  33. 120
  34. 14
  35. 120
  36. 12
  37. 14
  38. 72
  39. 13
  40. 120

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