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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 482 · 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 63 and 14.
  2. 2.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 32. What is the other number?
  3. 3.Find the HCF of 6 and 27.
  4. 4.Find the LCM of 8, 4 and 3.
  5. 5.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 20. What is the other number?
  6. 6.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 49. What is the other number?
  7. 7.Find the HCF of 6 and 15.
  8. 8.Find the HCF of 36 and 16.
  9. 9.Find the HCF of 105 and 120.
  10. 10.Find the HCF of 63 and 36.
  11. 11.Find the HCF of 12 and 54.
  12. 12.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 21. What is the other number?
  13. 13.Find the LCM of 9 and 4.
  14. 14.Find the HCF of 65 and 52.
  15. 15.Find the HCF of 25 and 20.
  16. 16.Find the HCF of 6 and 16.
  17. 17.Find the LCM of 42 and 18.
  18. 18.Find the HCF of 15 and 21.
  19. 19.Find the HCF of 24 and 30.
  20. 20.Find the LCM of 7 and 9.
  21. 21.Find the HCF of 44 and 33.
  22. 22.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 21. What is the other number?
  23. 23.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 81. What is the other number?
  24. 24.The HCF of two numbers is 8 and their LCM is 168. One of the numbers is 56. What is the other number?
  25. 25.Find the LCM of 25 and 20.
  26. 26.Find the HCF of 96 and 36.
  27. 27.Find the LCM of 15 and 25.
  28. 28.Find the LCM of 8, 2 and 4.
  29. 29.Find the LCM of 6, 14 and 3.
  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.The HCF of two numbers is 7 and their LCM is 245. One of the numbers is 35. What is the other number?
  32. 32.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 12. What is the other number?
  33. 33.Find the HCF of 16 and 20.
  34. 34.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 21. What is the other number?
  35. 35.Find the LCM of 42 and 48.
  36. 36.Find the LCM of 40 and 25.
  37. 37.Find the HCF of 16 and 40.
  38. 38.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 20. What is the other number?
  39. 39.Find the HCF of 56 and 98.
  40. 40.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 16. What is the other number?

Answer key

  1. 7
  2. 12
  3. 3
  4. 24
  5. 36
  6. 14
  7. 3
  8. 4
  9. 15
  10. 9
  11. 6
  12. 12
  13. 36
  14. 13
  15. 5
  16. 2
  17. 126
  18. 3
  19. 6
  20. 63
  21. 11
  22. 15
  23. 63
  24. 24
  25. 100
  26. 12
  27. 75
  28. 8
  29. 42
  30. 15
  31. 49
  32. 18
  33. 4
  34. 14
  35. 336
  36. 200
  37. 8
  38. 12
  39. 14
  40. 14

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