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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 61 · 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 LCM of 18 and 4.
  2. 2.Find the LCM of 13, 2 and 7.
  3. 3.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 15. What is the other number?
  4. 4.Find the HCF of 48 and 36.
  5. 5.Find the HCF of 15 and 20.
  6. 6.Find the HCF of 14 and 4.
  7. 7.Find the HCF of 24 and 42.
  8. 8.Find the HCF of 55 and 44.
  9. 9.The HCF of two numbers is 8 and their LCM is 504. One of the numbers is 72. What is the other number?
  10. 10.Find the LCM of 15, 11 and 3.
  11. 11.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 8. What is the other number?
  12. 12.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 18. What is the other number?
  13. 13.Find the HCF of 8 and 6.
  14. 14.Find the LCM of 8 and 36.
  15. 15.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 18. What is the other number?
  16. 16.Find the LCM of 4, 10 and 9.
  17. 17.Find the LCM of 4, 6 and 3.
  18. 18.Find the LCM of 18 and 12.
  19. 19.Find the LCM of 45 and 25.
  20. 20.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 40. What is the other number?
  21. 21.Find the LCM of 9, 15 and 3.
  22. 22.Find the HCF of 27 and 6.
  23. 23.Find the LCM of 16 and 28.
  24. 24.Find the HCF of 91 and 78.
  25. 25.Find the HCF of 96 and 60.
  26. 26.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 32. What is the other number?
  27. 27.Find the HCF of 65 and 26.
  28. 28.Find the LCM of 6, 9 and 10.
  29. 29.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 8. What is the other number?
  30. 30.Find the HCF of 56 and 32.
  31. 31.The HCF of two numbers is 9 and their LCM is 378. One of the numbers is 63. What is the other number?
  32. 32.Find the LCM of 12, 5 and 4.
  33. 33.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 18. What is the other number?
  34. 34.Find the LCM of 3, 4 and 10.
  35. 35.Find the HCF of 27 and 15.
  36. 36.Find the LCM of 24 and 27.
  37. 37.Find the LCM of 36 and 20.
  38. 38.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 6. What is the other number?
  39. 39.The HCF of two numbers is 8 and their LCM is 576. One of the numbers is 72. What is the other number?
  40. 40.Find the HCF of 104 and 39.

Answer key

  1. 36
  2. 182
  3. 6
  4. 12
  5. 5
  6. 2
  7. 6
  8. 11
  9. 56
  10. 165
  11. 28
  12. 4
  13. 2
  14. 72
  15. 63
  16. 180
  17. 12
  18. 36
  19. 225
  20. 16
  21. 45
  22. 3
  23. 112
  24. 13
  25. 12
  26. 40
  27. 13
  28. 90
  29. 14
  30. 8
  31. 54
  32. 60
  33. 21
  34. 60
  35. 3
  36. 216
  37. 180
  38. 4
  39. 64
  40. 13

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