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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 771 · 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 30 and 45.
  2. 2.Find the LCM of 14, 6 and 5.
  3. 3.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 9. What is the other number?
  4. 4.Find the HCF of 9 and 6.
  5. 5.Find the HCF of 54 and 12.
  6. 6.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 63. What is the other number?
  7. 7.Find the HCF of 24 and 54.
  8. 8.Find the LCM of 16 and 12.
  9. 9.Find the HCF of 40 and 30.
  10. 10.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 14. What is the other number?
  11. 11.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 6. What is the other number?
  12. 12.The HCF of two numbers is 4 and their LCM is 168. One of the numbers is 24. What is the other number?
  13. 13.Find the LCM of 10, 9 and 4.
  14. 14.Find the HCF of 21 and 12.
  15. 15.Find the HCF of 63 and 54.
  16. 16.Find the LCM of 8, 4 and 12.
  17. 17.Find the HCF of 21 and 18.
  18. 18.Find the LCM of 21 and 6.
  19. 19.Find the LCM of 18 and 15.
  20. 20.Find the HCF of 77 and 55.
  21. 21.The HCF of two numbers is 7 and their LCM is 196. One of the numbers is 28. What is the other number?
  22. 22.Find the HCF of 16 and 56.
  23. 23.Find the LCM of 12 and 8.
  24. 24.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 12. What is the other number?
  25. 25.Find the HCF of 105 and 60.
  26. 26.Find the LCM of 11, 3 and 7.
  27. 27.Find the LCM of 14, 3 and 10.
  28. 28.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 6. What is the other number?
  29. 29.Find the LCM of 25 and 40.
  30. 30.The HCF of two numbers is 8 and their LCM is 280. One of the numbers is 40. What is the other number?
  31. 31.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 35. What is the other number?
  32. 32.Find the HCF of 55 and 77.
  33. 33.Find the LCM of 18 and 48.
  34. 34.Find the LCM of 6, 7 and 9.
  35. 35.Find the HCF of 56 and 32.
  36. 36.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 32. What is the other number?
  37. 37.Find the LCM of 7, 2 and 10.
  38. 38.Find the LCM of 18 and 24.
  39. 39.Find the HCF of 50 and 70.
  40. 40.Find the HCF of 20 and 70.

Answer key

  1. 15
  2. 210
  3. 15
  4. 3
  5. 6
  6. 27
  7. 6
  8. 48
  9. 10
  10. 4
  11. 15
  12. 28
  13. 180
  14. 3
  15. 9
  16. 24
  17. 3
  18. 42
  19. 90
  20. 11
  21. 49
  22. 8
  23. 24
  24. 16
  25. 15
  26. 231
  27. 210
  28. 4
  29. 200
  30. 56
  31. 14
  32. 11
  33. 144
  34. 126
  35. 8
  36. 24
  37. 70
  38. 72
  39. 10
  40. 10

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