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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 249 · 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 9 and their LCM is 378. One of the numbers is 54. What is the other number?
  2. 2.Find the HCF of 36 and 48.
  3. 3.Find the HCF of 50 and 40.
  4. 4.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 12. What is the other number?
  5. 5.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 18. What is the other number?
  6. 6.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 35. What is the other number?
  7. 7.Find the LCM of 10 and 15.
  8. 8.The HCF of two numbers is 7 and their LCM is 252. One of the numbers is 28. What is the other number?
  9. 9.Find the HCF of 35 and 40.
  10. 10.Find the HCF of 52 and 117.
  11. 11.The HCF of two numbers is 7 and their LCM is 294. One of the numbers is 42. What is the other number?
  12. 12.Find the HCF of 39 and 91.
  13. 13.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 35. What is the other number?
  14. 14.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 72. What is the other number?
  15. 15.Find the LCM of 2, 7 and 11.
  16. 16.Find the HCF of 4 and 6.
  17. 17.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 21. What is the other number?
  18. 18.Find the LCM of 12 and 21.
  19. 19.Find the LCM of 7 and 4.
  20. 20.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 81. What is the other number?
  21. 21.Find the LCM of 15, 12 and 2.
  22. 22.Find the HCF of 8 and 14.
  23. 23.Find the HCF of 18 and 27.
  24. 24.Find the LCM of 27 and 12.
  25. 25.Find the LCM of 15, 3 and 14.
  26. 26.The HCF of two numbers is 6 and their LCM is 210. One of the numbers is 30. What is the other number?
  27. 27.Find the LCM of 5, 4 and 15.
  28. 28.Find the HCF of 104 and 39.
  29. 29.Find the LCM of 24 and 21.
  30. 30.Find the HCF of 8 and 6.
  31. 31.Find the LCM of 28 and 16.
  32. 32.Find the LCM of 2, 11 and 12.
  33. 33.Find the HCF of 49 and 56.
  34. 34.The HCF of two numbers is 6 and their LCM is 378. One of the numbers is 54. What is the other number?
  35. 35.Find the HCF of 54 and 48.
  36. 36.Find the LCM of 8 and 36.
  37. 37.Find the HCF of 81 and 45.
  38. 38.Find the LCM of 11, 9 and 2.
  39. 39.Find the LCM of 9, 3 and 10.
  40. 40.Find the LCM of 32 and 12.

Answer key

  1. 63
  2. 12
  3. 10
  4. 14
  5. 16
  6. 14
  7. 30
  8. 63
  9. 5
  10. 13
  11. 49
  12. 13
  13. 28
  14. 27
  15. 154
  16. 2
  17. 6
  18. 84
  19. 28
  20. 45
  21. 60
  22. 2
  23. 9
  24. 108
  25. 210
  26. 42
  27. 60
  28. 13
  29. 168
  30. 2
  31. 112
  32. 132
  33. 7
  34. 42
  35. 6
  36. 72
  37. 9
  38. 198
  39. 90
  40. 96

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