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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 718 · 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 216. One of the numbers is 72. What is the other number?
  2. 2.Find the LCM of 14, 9 and 6.
  3. 3.The HCF of two numbers is 5 and their LCM is 180. One of the numbers is 45. What is the other number?
  4. 4.Find the LCM of 20 and 25.
  5. 5.Find the HCF of 15 and 20.
  6. 6.Find the HCF of 45 and 60.
  7. 7.Find the LCM of 35 and 10.
  8. 8.Find the LCM of 12, 3 and 10.
  9. 9.Find the LCM of 9 and 2.
  10. 10.Find the LCM of 9 and 7.
  11. 11.The HCF of two numbers is 8 and their LCM is 240. One of the numbers is 40. What is the other number?
  12. 12.Find the HCF of 18 and 14.
  13. 13.Find the LCM of 32 and 36.
  14. 14.Find the LCM of 3, 6 and 11.
  15. 15.Find the LCM of 35 and 15.
  16. 16.Find the HCF of 99 and 44.
  17. 17.Find the LCM of 42 and 36.
  18. 18.The HCF of two numbers is 9 and their LCM is 378. One of the numbers is 63. What is the other number?
  19. 19.Find the LCM of 4 and 5.
  20. 20.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 40. What is the other number?
  21. 21.Find the LCM of 2, 10 and 14.
  22. 22.Find the HCF of 84 and 98.
  23. 23.Find the LCM of 14 and 8.
  24. 24.Find the HCF of 81 and 63.
  25. 25.Find the LCM of 20 and 15.
  26. 26.The HCF of two numbers is 6 and their LCM is 432. One of the numbers is 48. What is the other number?
  27. 27.Find the LCM of 8, 7 and 2.
  28. 28.Find the LCM of 6, 7 and 15.
  29. 29.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 16. What is the other number?
  30. 30.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 18. What is the other number?
  31. 31.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 6. What is the other number?
  32. 32.Find the HCF of 65 and 39.
  33. 33.Find the HCF of 75 and 105.
  34. 34.The HCF of two numbers is 3 and their LCM is 90. One of the numbers is 18. What is the other number?
  35. 35.Find the LCM of 35 and 40.
  36. 36.Find the LCM of 4, 11 and 5.
  37. 37.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 6. What is the other number?
  38. 38.Find the HCF of 33 and 22.
  39. 39.Find the HCF of 28 and 32.
  40. 40.Find the HCF of 105 and 45.

Answer key

  1. 27
  2. 126
  3. 20
  4. 100
  5. 5
  6. 15
  7. 70
  8. 60
  9. 18
  10. 63
  11. 48
  12. 2
  13. 288
  14. 66
  15. 105
  16. 11
  17. 252
  18. 54
  19. 20
  20. 15
  21. 70
  22. 14
  23. 56
  24. 9
  25. 60
  26. 54
  27. 56
  28. 210
  29. 72
  30. 4
  31. 14
  32. 13
  33. 15
  34. 15
  35. 280
  36. 220
  37. 16
  38. 11
  39. 4
  40. 15

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