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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 762 · 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 15 and 24.
  2. 2.Find the LCM of 8 and 18.
  3. 3.Find the LCM of 10 and 18.
  4. 4.The HCF of two numbers is 8 and their LCM is 504. One of the numbers is 56. What is the other number?
  5. 5.Find the LCM of 15, 3 and 11.
  6. 6.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 21. What is the other number?
  7. 7.Find the LCM of 10 and 35.
  8. 8.Find the HCF of 20 and 12.
  9. 9.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 27. What is the other number?
  10. 10.Find the HCF of 12 and 8.
  11. 11.Find the LCM of 36 and 16.
  12. 12.Find the HCF of 14 and 63.
  13. 13.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 20. What is the other number?
  14. 14.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 45. What is the other number?
  15. 15.Find the LCM of 20 and 15.
  16. 16.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 72. What is the other number?
  17. 17.Find the HCF of 21 and 9.
  18. 18.Find the HCF of 35 and 10.
  19. 19.Find the HCF of 60 and 84.
  20. 20.Find the HCF of 98 and 56.
  21. 21.Find the LCM of 6, 8 and 9.
  22. 22.Find the HCF of 91 and 26.
  23. 23.Find the HCF of 15 and 9.
  24. 24.Find the HCF of 39 and 65.
  25. 25.Find the LCM of 13, 12 and 2.
  26. 26.Find the HCF of 14 and 12.
  27. 27.Find the HCF of 56 and 70.
  28. 28.The HCF of two numbers is 3 and their LCM is 90. One of the numbers is 18. What is the other number?
  29. 29.Find the HCF of 21 and 15.
  30. 30.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 15. What is the other number?
  31. 31.Find the LCM of 2, 7 and 4.
  32. 32.Find the LCM of 18 and 24.
  33. 33.Find the LCM of 14, 3 and 2.
  34. 34.Find the HCF of 28 and 21.
  35. 35.Find the LCM of 7, 15 and 3.
  36. 36.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 35. What is the other number?
  37. 37.Find the HCF of 12 and 42.
  38. 38.Find the LCM of 24 and 28.
  39. 39.Find the HCF of 52 and 65.
  40. 40.Find the LCM of 3, 11 and 15.

Answer key

  1. 3
  2. 72
  3. 90
  4. 72
  5. 165
  6. 9
  7. 70
  8. 4
  9. 15
  10. 4
  11. 144
  12. 7
  13. 15
  14. 36
  15. 60
  16. 27
  17. 3
  18. 5
  19. 12
  20. 14
  21. 72
  22. 13
  23. 3
  24. 13
  25. 156
  26. 2
  27. 14
  28. 15
  29. 3
  30. 40
  31. 28
  32. 72
  33. 42
  34. 7
  35. 105
  36. 45
  37. 6
  38. 168
  39. 13
  40. 165

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