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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 84 · 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 5 and their LCM is 60. One of the numbers is 20. What is the other number?
  2. 2.Find the LCM of 24 and 15.
  3. 3.Find the HCF of 45 and 75.
  4. 4.The HCF of two numbers is 5 and their LCM is 360. One of the numbers is 40. What is the other number?
  5. 5.Find the HCF of 78 and 91.
  6. 6.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 27. What is the other number?
  7. 7.Find the LCM of 13, 2 and 10.
  8. 8.The HCF of two numbers is 9 and their LCM is 270. One of the numbers is 54. What is the other number?
  9. 9.Find the LCM of 6, 14 and 5.
  10. 10.Find the HCF of 112 and 70.
  11. 11.Find the LCM of 25 and 10.
  12. 12.Find the LCM of 12 and 14.
  13. 13.Find the HCF of 26 and 65.
  14. 14.Find the LCM of 8 and 14.
  15. 15.Find the LCM of 12, 15 and 2.
  16. 16.Find the LCM of 8, 3 and 2.
  17. 17.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 40. What is the other number?
  18. 18.Find the LCM of 12, 4 and 3.
  19. 19.Find the LCM of 7, 5 and 2.
  20. 20.Find the HCF of 105 and 30.
  21. 21.Find the LCM of 25 and 15.
  22. 22.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 45. What is the other number?
  23. 23.Find the LCM of 9, 2 and 4.
  24. 24.Find the LCM of 5, 8 and 6.
  25. 25.Find the LCM of 8 and 20.
  26. 26.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 20. What is the other number?
  27. 27.Find the LCM of 5 and 7.
  28. 28.Find the HCF of 27 and 18.
  29. 29.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 81. What is the other number?
  30. 30.The HCF of two numbers is 5 and their LCM is 140. One of the numbers is 35. What is the other number?
  31. 31.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 35. What is the other number?
  32. 32.Find the HCF of 66 and 77.
  33. 33.Find the LCM of 9, 6 and 5.
  34. 34.Find the HCF of 15 and 40.
  35. 35.Find the LCM of 4 and 14.
  36. 36.Find the LCM of 9, 5 and 4.
  37. 37.Find the HCF of 78 and 65.
  38. 38.Find the LCM of 8 and 6.
  39. 39.The HCF of two numbers is 7 and their LCM is 196. One of the numbers is 28. What is the other number?
  40. 40.Find the HCF of 63 and 36.

Answer key

  1. 15
  2. 120
  3. 15
  4. 45
  5. 13
  6. 63
  7. 130
  8. 45
  9. 210
  10. 14
  11. 50
  12. 84
  13. 13
  14. 56
  15. 60
  16. 24
  17. 32
  18. 12
  19. 70
  20. 15
  21. 75
  22. 10
  23. 36
  24. 120
  25. 40
  26. 8
  27. 35
  28. 9
  29. 45
  30. 20
  31. 45
  32. 11
  33. 90
  34. 5
  35. 28
  36. 180
  37. 13
  38. 24
  39. 49
  40. 9

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