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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 267 · 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 88 and 55.
  2. 2.Find the LCM of 12, 3 and 7.
  3. 3.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 36. What is the other number?
  4. 4.Find the LCM of 5, 10 and 2.
  5. 5.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 24. What is the other number?
  6. 6.Find the HCF of 45 and 60.
  7. 7.Find the LCM of 35 and 40.
  8. 8.The HCF of two numbers is 4 and their LCM is 252. One of the numbers is 36. What is the other number?
  9. 9.Find the HCF of 63 and 18.
  10. 10.Find the LCM of 2, 4 and 15.
  11. 11.The HCF of two numbers is 5 and their LCM is 200. One of the numbers is 25. What is the other number?
  12. 12.Find the HCF of 78 and 91.
  13. 13.Find the HCF of 30 and 42.
  14. 14.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 18. What is the other number?
  15. 15.Find the LCM of 10, 8 and 12.
  16. 16.Find the HCF of 30 and 35.
  17. 17.Find the HCF of 10 and 14.
  18. 18.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 63. What is the other number?
  19. 19.Find the LCM of 2, 4 and 3.
  20. 20.The HCF of two numbers is 4 and their LCM is 144. One of the numbers is 16. What is the other number?
  21. 21.Find the HCF of 10 and 18.
  22. 22.Find the HCF of 56 and 16.
  23. 23.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 8. What is the other number?
  24. 24.Find the LCM of 14, 8 and 7.
  25. 25.Find the HCF of 60 and 108.
  26. 26.Find the LCM of 3 and 4.
  27. 27.Find the LCM of 10, 15 and 8.
  28. 28.Find the HCF of 81 and 18.
  29. 29.Find the LCM of 9, 15 and 2.
  30. 30.Find the LCM of 24 and 54.
  31. 31.Find the LCM of 4, 12 and 10.
  32. 32.Find the LCM of 15, 5 and 4.
  33. 33.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 30. What is the other number?
  34. 34.Find the HCF of 52 and 39.
  35. 35.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 15. What is the other number?
  36. 36.Find the LCM of 40 and 25.
  37. 37.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 42. What is the other number?
  38. 38.Find the HCF of 20 and 70.
  39. 39.Find the LCM of 3, 2 and 12.
  40. 40.Find the HCF of 27 and 36.

Answer key

  1. 11
  2. 84
  3. 8
  4. 10
  5. 15
  6. 15
  7. 280
  8. 28
  9. 9
  10. 60
  11. 40
  12. 13
  13. 6
  14. 10
  15. 120
  16. 5
  17. 2
  18. 14
  19. 12
  20. 36
  21. 2
  22. 8
  23. 6
  24. 56
  25. 12
  26. 12
  27. 120
  28. 9
  29. 90
  30. 216
  31. 60
  32. 60
  33. 18
  34. 13
  35. 6
  36. 200
  37. 12
  38. 10
  39. 12
  40. 9

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