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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 297 · 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 55 and 66.
  2. 2.Find the LCM of 11, 6 and 12.
  3. 3.Find the LCM of 24 and 18.
  4. 4.The HCF of two numbers is 6 and their LCM is 270. One of the numbers is 30. What is the other number?
  5. 5.Find the HCF of 50 and 70.
  6. 6.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 20. What is the other number?
  7. 7.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 32. What is the other number?
  8. 8.Find the LCM of 42 and 12.
  9. 9.Find the LCM of 45 and 25.
  10. 10.The HCF of two numbers is 5 and their LCM is 140. One of the numbers is 35. What is the other number?
  11. 11.Find the HCF of 6 and 14.
  12. 12.Find the HCF of 45 and 120.
  13. 13.Find the LCM of 18 and 21.
  14. 14.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 16. What is the other number?
  15. 15.Find the LCM of 12 and 30.
  16. 16.Find the LCM of 6, 5 and 4.
  17. 17.Find the HCF of 18 and 8.
  18. 18.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 21. What is the other number?
  19. 19.Find the LCM of 2, 8 and 12.
  20. 20.The HCF of two numbers is 9 and their LCM is 315. One of the numbers is 45. What is the other number?
  21. 21.Find the LCM of 3, 4 and 9.
  22. 22.Find the LCM of 2, 5 and 3.
  23. 23.Find the LCM of 3, 2 and 12.
  24. 24.Find the LCM of 4 and 18.
  25. 25.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 24. What is the other number?
  26. 26.Find the HCF of 56 and 32.
  27. 27.Find the LCM of 11, 2 and 4.
  28. 28.Find the LCM of 45 and 40.
  29. 29.Find the LCM of 15 and 9.
  30. 30.Find the HCF of 35 and 56.
  31. 31.Find the LCM of 12, 9 and 5.
  32. 32.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 12. What is the other number?
  33. 33.Find the LCM of 2, 12 and 8.
  34. 34.Find the LCM of 2, 4 and 12.
  35. 35.Find the HCF of 98 and 42.
  36. 36.The HCF of two numbers is 5 and their LCM is 180. One of the numbers is 45. What is the other number?
  37. 37.Find the HCF of 44 and 55.
  38. 38.Find the LCM of 5 and 9.
  39. 39.Find the HCF of 21 and 35.
  40. 40.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 63. What is the other number?

Answer key

  1. 11
  2. 132
  3. 72
  4. 54
  5. 10
  6. 12
  7. 40
  8. 84
  9. 225
  10. 20
  11. 2
  12. 15
  13. 126
  14. 24
  15. 60
  16. 60
  17. 2
  18. 28
  19. 24
  20. 63
  21. 36
  22. 30
  23. 12
  24. 36
  25. 9
  26. 8
  27. 44
  28. 360
  29. 45
  30. 7
  31. 180
  32. 8
  33. 24
  34. 12
  35. 14
  36. 20
  37. 11
  38. 45
  39. 7
  40. 27

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