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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 51 · 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.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 36. What is the other number?
  2. 2.Find the HCF of 81 and 36.
  3. 3.Find the LCM of 10, 4 and 11.
  4. 4.Find the LCM of 10 and 4.
  5. 5.Find the HCF of 12 and 9.
  6. 6.Find the LCM of 6 and 9.
  7. 7.Find the LCM of 3, 6 and 5.
  8. 8.Find the HCF of 9 and 6.
  9. 9.Find the LCM of 4, 10 and 6.
  10. 10.Find the HCF of 126 and 56.
  11. 11.Find the HCF of 98 and 70.
  12. 12.Find the LCM of 7 and 9.
  13. 13.The HCF of two numbers is 3 and their LCM is 90. One of the numbers is 18. What is the other number?
  14. 14.Find the HCF of 10 and 12.
  15. 15.Find the HCF of 16 and 24.
  16. 16.Find the HCF of 45 and 105.
  17. 17.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 12. What is the other number?
  18. 18.Find the HCF of 126 and 28.
  19. 19.Find the LCM of 6 and 8.
  20. 20.Find the LCM of 2, 3 and 12.
  21. 21.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 49. What is the other number?
  22. 22.Find the HCF of 32 and 28.
  23. 23.The HCF of two numbers is 9 and their LCM is 324. One of the numbers is 81. What is the other number?
  24. 24.The HCF of two numbers is 9 and their LCM is 315. One of the numbers is 63. What is the other number?
  25. 25.Find the LCM of 27 and 21.
  26. 26.Find the LCM of 7, 5 and 3.
  27. 27.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 12. What is the other number?
  28. 28.Find the HCF of 20 and 24.
  29. 29.Find the HCF of 20 and 8.
  30. 30.The HCF of two numbers is 5 and their LCM is 100. One of the numbers is 20. What is the other number?
  31. 31.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 9. What is the other number?
  32. 32.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 28. What is the other number?
  33. 33.Find the LCM of 18 and 30.
  34. 34.Find the HCF of 45 and 60.
  35. 35.Find the HCF of 75 and 105.
  36. 36.Find the HCF of 55 and 33.
  37. 37.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 6. What is the other number?
  38. 38.The HCF of two numbers is 7 and their LCM is 168. One of the numbers is 21. What is the other number?
  39. 39.Find the LCM of 16 and 10.
  40. 40.Find the LCM of 12, 14 and 3.

Answer key

  1. 20
  2. 9
  3. 220
  4. 20
  5. 3
  6. 18
  7. 30
  8. 3
  9. 60
  10. 14
  11. 14
  12. 63
  13. 15
  14. 2
  15. 8
  16. 15
  17. 20
  18. 14
  19. 24
  20. 12
  21. 14
  22. 4
  23. 36
  24. 45
  25. 189
  26. 105
  27. 21
  28. 4
  29. 4
  30. 25
  31. 21
  32. 21
  33. 90
  34. 15
  35. 15
  36. 11
  37. 9
  38. 56
  39. 80
  40. 84

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