← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 491 · 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 12 and 28.
  2. 2.Find the LCM of 3 and 2.
  3. 3.Find the HCF of 42 and 49.
  4. 4.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 56. What is the other number?
  5. 5.Find the LCM of 13, 2 and 4.
  6. 6.The HCF of two numbers is 8 and their LCM is 192. One of the numbers is 24. What is the other number?
  7. 7.Find the HCF of 12 and 54.
  8. 8.Find the LCM of 5 and 8.
  9. 9.Find the HCF of 50 and 60.
  10. 10.Find the LCM of 4, 11 and 6.
  11. 11.The HCF of two numbers is 8 and their LCM is 240. One of the numbers is 40. What is the other number?
  12. 12.Find the LCM of 54 and 30.
  13. 13.Find the HCF of 21 and 35.
  14. 14.Find the HCF of 30 and 25.
  15. 15.Find the LCM of 4, 3 and 5.
  16. 16.Find the LCM of 15, 4 and 5.
  17. 17.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 18. What is the other number?
  18. 18.Find the HCF of 91 and 39.
  19. 19.Find the HCF of 12 and 16.
  20. 20.The HCF of two numbers is 8 and their LCM is 240. One of the numbers is 48. What is the other number?
  21. 21.The HCF of two numbers is 7 and their LCM is 105. One of the numbers is 21. What is the other number?
  22. 22.The HCF of two numbers is 7 and their LCM is 147. One of the numbers is 21. What is the other number?
  23. 23.Find the LCM of 2, 5 and 12.
  24. 24.The HCF of two numbers is 7 and their LCM is 245. One of the numbers is 35. What is the other number?
  25. 25.Find the LCM of 12, 15 and 8.
  26. 26.Find the HCF of 24 and 108.
  27. 27.Find the LCM of 15 and 20.
  28. 28.Find the HCF of 12 and 9.
  29. 29.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 12. What is the other number?
  30. 30.Find the HCF of 24 and 36.
  31. 31.Find the LCM of 32 and 36.
  32. 32.Find the LCM of 6, 5 and 3.
  33. 33.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 12. What is the other number?
  34. 34.Find the LCM of 42 and 30.
  35. 35.Find the HCF of 24 and 30.
  36. 36.Find the HCF of 98 and 126.
  37. 37.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 6. What is the other number?
  38. 38.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 12. What is the other number?
  39. 39.Find the HCF of 75 and 30.
  40. 40.Find the LCM of 9, 8 and 6.

Answer key

  1. 4
  2. 6
  3. 7
  4. 48
  5. 52
  6. 64
  7. 6
  8. 40
  9. 10
  10. 132
  11. 48
  12. 270
  13. 7
  14. 5
  15. 60
  16. 60
  17. 8
  18. 13
  19. 4
  20. 40
  21. 35
  22. 49
  23. 60
  24. 49
  25. 120
  26. 12
  27. 60
  28. 3
  29. 28
  30. 12
  31. 288
  32. 30
  33. 9
  34. 210
  35. 6
  36. 14
  37. 16
  38. 14
  39. 15
  40. 72

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