← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 585 · 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 60. One of the numbers is 12. What is the other number?
  2. 2.Find the LCM of 30 and 48.
  3. 3.Find the LCM of 14, 8 and 3.
  4. 4.Find the HCF of 25 and 35.
  5. 5.Find the HCF of 45 and 35.
  6. 6.Find the LCM of 42 and 24.
  7. 7.Find the HCF of 50 and 80.
  8. 8.Find the LCM of 21 and 9.
  9. 9.Find the LCM of 20 and 25.
  10. 10.Find the LCM of 4, 5 and 11.
  11. 11.Find the HCF of 91 and 52.
  12. 12.Find the LCM of 4 and 9.
  13. 13.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 12. What is the other number?
  14. 14.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 10. What is the other number?
  15. 15.Find the HCF of 18 and 24.
  16. 16.Find the LCM of 42 and 36.
  17. 17.Find the HCF of 84 and 98.
  18. 18.Find the LCM of 14, 4 and 5.
  19. 19.Find the LCM of 18 and 14.
  20. 20.Find the HCF of 26 and 39.
  21. 21.Find the HCF of 105 and 60.
  22. 22.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 12. What is the other number?
  23. 23.Find the HCF of 28 and 63.
  24. 24.Find the HCF of 24 and 36.
  25. 25.Find the HCF of 30 and 25.
  26. 26.Find the HCF of 45 and 120.
  27. 27.Find the HCF of 24 and 18.
  28. 28.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 21. What is the other number?
  29. 29.Find the HCF of 52 and 117.
  30. 30.Find the LCM of 5, 3 and 10.
  31. 31.Find the HCF of 49 and 35.
  32. 32.Find the LCM of 27 and 21.
  33. 33.Find the LCM of 4, 11 and 12.
  34. 34.Find the LCM of 14 and 10.
  35. 35.Find the LCM of 3, 5 and 2.
  36. 36.Find the LCM of 14, 5 and 15.
  37. 37.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 49. What is the other number?
  38. 38.Find the LCM of 36 and 32.
  39. 39.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 24. What is the other number?
  40. 40.Find the HCF of 91 and 104.

Answer key

  1. 10
  2. 240
  3. 168
  4. 5
  5. 5
  6. 168
  7. 10
  8. 63
  9. 100
  10. 220
  11. 13
  12. 36
  13. 32
  14. 16
  15. 6
  16. 252
  17. 14
  18. 140
  19. 126
  20. 13
  21. 15
  22. 8
  23. 7
  24. 12
  25. 5
  26. 15
  27. 6
  28. 15
  29. 13
  30. 30
  31. 7
  32. 189
  33. 132
  34. 70
  35. 30
  36. 210
  37. 63
  38. 288
  39. 9
  40. 13

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