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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 779 · 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 27 and 18.
  2. 2.Find the LCM of 36 and 20.
  3. 3.Find the HCF of 6 and 16.
  4. 4.Find the HCF of 18 and 15.
  5. 5.Find the HCF of 63 and 56.
  6. 6.Find the LCM of 13, 2 and 10.
  7. 7.Find the LCM of 3, 4 and 13.
  8. 8.Find the LCM of 10, 8 and 6.
  9. 9.Find the HCF of 42 and 18.
  10. 10.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 4. What is the other number?
  11. 11.The HCF of two numbers is 8 and their LCM is 192. One of the numbers is 64. What is the other number?
  12. 12.Find the HCF of 44 and 33.
  13. 13.Find the LCM of 3, 15 and 5.
  14. 14.The HCF of two numbers is 5 and their LCM is 100. One of the numbers is 20. What is the other number?
  15. 15.Find the LCM of 28 and 20.
  16. 16.Find the LCM of 6, 15 and 2.
  17. 17.Find the LCM of 5 and 2.
  18. 18.Find the LCM of 7, 3 and 10.
  19. 19.Find the HCF of 32 and 12.
  20. 20.The HCF of two numbers is 9 and their LCM is 324. One of the numbers is 81. What is the other number?
  21. 21.Find the HCF of 28 and 21.
  22. 22.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 63. What is the other number?
  23. 23.The HCF of two numbers is 9 and their LCM is 648. One of the numbers is 72. What is the other number?
  24. 24.Find the LCM of 6 and 5.
  25. 25.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 20. What is the other number?
  26. 26.Find the HCF of 25 and 10.
  27. 27.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 8. What is the other number?
  28. 28.Find the LCM of 15, 14 and 3.
  29. 29.The HCF of two numbers is 8 and their LCM is 280. One of the numbers is 40. What is the other number?
  30. 30.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 24. What is the other number?
  31. 31.Find the HCF of 70 and 98.
  32. 32.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 48. What is the other number?
  33. 33.Find the LCM of 4, 5 and 9.
  34. 34.Find the HCF of 65 and 104.
  35. 35.Find the LCM of 2, 13 and 10.
  36. 36.Find the LCM of 14 and 4.
  37. 37.Find the LCM of 18 and 8.
  38. 38.Find the HCF of 35 and 20.
  39. 39.Find the HCF of 44 and 77.
  40. 40.Find the LCM of 8, 13 and 2.

Answer key

  1. 9
  2. 180
  3. 2
  4. 3
  5. 7
  6. 130
  7. 156
  8. 120
  9. 6
  10. 6
  11. 24
  12. 11
  13. 15
  14. 25
  15. 140
  16. 30
  17. 10
  18. 210
  19. 4
  20. 36
  21. 7
  22. 72
  23. 81
  24. 30
  25. 15
  26. 5
  27. 28
  28. 210
  29. 56
  30. 15
  31. 14
  32. 18
  33. 180
  34. 13
  35. 130
  36. 28
  37. 72
  38. 5
  39. 11
  40. 104

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