← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 177 · 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 6 and their LCM is 144. One of the numbers is 18. What is the other number?
  2. 2.Find the HCF of 72 and 81.
  3. 3.Find the HCF of 112 and 98.
  4. 4.The HCF of two numbers is 8 and their LCM is 320. One of the numbers is 40. What is the other number?
  5. 5.Find the LCM of 13, 2 and 14.
  6. 6.The HCF of two numbers is 5 and their LCM is 175. One of the numbers is 25. What is the other number?
  7. 7.Find the LCM of 12 and 8.
  8. 8.Find the HCF of 36 and 60.
  9. 9.Find the HCF of 42 and 12.
  10. 10.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 24. What is the other number?
  11. 11.Find the LCM of 25 and 40.
  12. 12.Find the HCF of 20 and 16.
  13. 13.Find the LCM of 6 and 4.
  14. 14.Find the LCM of 4, 6 and 2.
  15. 15.Find the LCM of 6 and 16.
  16. 16.Find the HCF of 32 and 28.
  17. 17.Find the LCM of 36 and 32.
  18. 18.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 12. What is the other number?
  19. 19.Find the HCF of 35 and 63.
  20. 20.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 8. What is the other number?
  21. 21.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 6. What is the other number?
  22. 22.Find the LCM of 9, 13 and 2.
  23. 23.Find the LCM of 9, 14 and 3.
  24. 24.Find the HCF of 104 and 65.
  25. 25.Find the LCM of 14, 9 and 6.
  26. 26.Find the HCF of 91 and 104.
  27. 27.Find the HCF of 20 and 35.
  28. 28.Find the LCM of 14, 15 and 5.
  29. 29.Find the HCF of 84 and 108.
  30. 30.Find the HCF of 40 and 16.
  31. 31.Find the HCF of 28 and 32.
  32. 32.Find the LCM of 3, 11 and 9.
  33. 33.The HCF of two numbers is 8 and their LCM is 192. One of the numbers is 64. What is the other number?
  34. 34.Find the HCF of 15 and 21.
  35. 35.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 9. What is the other number?
  36. 36.Find the HCF of 18 and 21.
  37. 37.Find the LCM of 10, 8 and 4.
  38. 38.Find the HCF of 10 and 45.
  39. 39.Find the HCF of 8 and 14.
  40. 40.Find the LCM of 15 and 9.

Answer key

  1. 48
  2. 9
  3. 14
  4. 64
  5. 182
  6. 35
  7. 24
  8. 12
  9. 6
  10. 32
  11. 200
  12. 4
  13. 12
  14. 12
  15. 48
  16. 4
  17. 288
  18. 42
  19. 7
  20. 6
  21. 14
  22. 234
  23. 126
  24. 13
  25. 126
  26. 13
  27. 5
  28. 210
  29. 12
  30. 8
  31. 4
  32. 99
  33. 24
  34. 3
  35. 21
  36. 3
  37. 40
  38. 5
  39. 2
  40. 45

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude