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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 12 · 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 84 and 70.
  2. 2.Find the HCF of 36 and 16.
  3. 3.The HCF of two numbers is 6 and their LCM is 252. One of the numbers is 42. What is the other number?
  4. 4.Find the LCM of 9 and 5.
  5. 5.Find the LCM of 12, 4 and 15.
  6. 6.The HCF of two numbers is 8 and their LCM is 192. One of the numbers is 64. What is the other number?
  7. 7.Find the HCF of 18 and 48.
  8. 8.Find the HCF of 45 and 35.
  9. 9.Find the LCM of 4, 3 and 6.
  10. 10.Find the LCM of 48 and 18.
  11. 11.Find the HCF of 98 and 42.
  12. 12.Find the LCM of 20 and 24.
  13. 13.Find the LCM of 30 and 36.
  14. 14.The HCF of two numbers is 5 and their LCM is 360. One of the numbers is 40. What is the other number?
  15. 15.Find the HCF of 117 and 26.
  16. 16.The HCF of two numbers is 7 and their LCM is 504. One of the numbers is 56. What is the other number?
  17. 17.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 18. What is the other number?
  18. 18.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 35. What is the other number?
  19. 19.Find the LCM of 2 and 3.
  20. 20.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 24. What is the other number?
  21. 21.Find the HCF of 24 and 20.
  22. 22.Find the LCM of 5, 15 and 2.
  23. 23.Find the LCM of 8 and 28.
  24. 24.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 6. What is the other number?
  25. 25.Find the LCM of 2, 5 and 11.
  26. 26.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 21. What is the other number?
  27. 27.Find the LCM of 21 and 24.
  28. 28.The HCF of two numbers is 9 and their LCM is 324. One of the numbers is 81. What is the other number?
  29. 29.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 25. What is the other number?
  30. 30.Find the LCM of 2, 5 and 15.
  31. 31.Find the LCM of 36 and 28.
  32. 32.Find the HCF of 70 and 80.
  33. 33.Find the LCM of 16 and 36.
  34. 34.Find the HCF of 8 and 20.
  35. 35.Find the LCM of 6, 9 and 3.
  36. 36.The HCF of two numbers is 6 and their LCM is 108. One of the numbers is 54. What is the other number?
  37. 37.Find the HCF of 27 and 24.
  38. 38.The HCF of two numbers is 7 and their LCM is 210. One of the numbers is 42. What is the other number?
  39. 39.Find the HCF of 9 and 6.
  40. 40.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 18. What is the other number?

Answer key

  1. 14
  2. 4
  3. 36
  4. 45
  5. 60
  6. 24
  7. 6
  8. 5
  9. 12
  10. 144
  11. 14
  12. 120
  13. 180
  14. 45
  15. 13
  16. 63
  17. 12
  18. 45
  19. 6
  20. 15
  21. 4
  22. 30
  23. 56
  24. 10
  25. 110
  26. 28
  27. 168
  28. 36
  29. 15
  30. 30
  31. 252
  32. 10
  33. 144
  34. 4
  35. 18
  36. 12
  37. 3
  38. 35
  39. 3
  40. 48

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