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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 390 · 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 2 and their LCM is 40. One of the numbers is 8. What is the other number?
  2. 2.Find the HCF of 42 and 12.
  3. 3.Find the HCF of 4 and 6.
  4. 4.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 14. What is the other number?
  5. 5.Find the LCM of 48 and 30.
  6. 6.Find the LCM of 9, 7 and 2.
  7. 7.Find the LCM of 3, 6 and 7.
  8. 8.Find the LCM of 8, 2 and 9.
  9. 9.Find the LCM of 20 and 16.
  10. 10.Find the HCF of 60 and 84.
  11. 11.Find the LCM of 10 and 14.
  12. 12.Find the HCF of 40 and 32.
  13. 13.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 48. What is the other number?
  14. 14.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 12. What is the other number?
  15. 15.The HCF of two numbers is 9 and their LCM is 648. One of the numbers is 81. What is the other number?
  16. 16.Find the LCM of 12, 11 and 2.
  17. 17.Find the LCM of 7 and 4.
  18. 18.Find the LCM of 16 and 18.
  19. 19.Find the HCF of 25 and 15.
  20. 20.Find the LCM of 15, 14 and 3.
  21. 21.Find the LCM of 12 and 18.
  22. 22.Find the HCF of 42 and 18.
  23. 23.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 72. What is the other number?
  24. 24.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 36. What is the other number?
  25. 25.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 12. What is the other number?
  26. 26.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 8. What is the other number?
  27. 27.Find the LCM of 30 and 18.
  28. 28.Find the LCM of 8 and 7.
  29. 29.Find the HCF of 16 and 40.
  30. 30.Find the LCM of 5 and 9.
  31. 31.Find the LCM of 16 and 20.
  32. 32.Find the HCF of 36 and 60.
  33. 33.The HCF of two numbers is 9 and their LCM is 360. One of the numbers is 72. What is the other number?
  34. 34.Find the LCM of 6, 7 and 8.
  35. 35.Find the LCM of 30 and 48.
  36. 36.Find the LCM of 9 and 4.
  37. 37.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 14. What is the other number?
  38. 38.Find the HCF of 28 and 32.
  39. 39.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 32. What is the other number?
  40. 40.Find the LCM of 3, 6 and 4.

Answer key

  1. 10
  2. 6
  3. 2
  4. 63
  5. 240
  6. 126
  7. 42
  8. 72
  9. 80
  10. 12
  11. 70
  12. 8
  13. 56
  14. 14
  15. 72
  16. 132
  17. 28
  18. 144
  19. 5
  20. 210
  21. 36
  22. 6
  23. 16
  24. 8
  25. 32
  26. 28
  27. 90
  28. 56
  29. 8
  30. 45
  31. 80
  32. 12
  33. 45
  34. 168
  35. 240
  36. 36
  37. 18
  38. 4
  39. 36
  40. 12

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