← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 781 · 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 70 and 28.
  2. 2.Find the LCM of 12, 4 and 7.
  3. 3.Find the HCF of 54 and 24.
  4. 4.Find the LCM of 25 and 10.
  5. 5.Find the LCM of 10, 11 and 2.
  6. 6.Find the LCM of 3 and 8.
  7. 7.Find the HCF of 24 and 28.
  8. 8.Find the LCM of 2, 12 and 4.
  9. 9.Find the LCM of 6, 2 and 3.
  10. 10.The HCF of two numbers is 7 and their LCM is 245. One of the numbers is 35. What is the other number?
  11. 11.Find the HCF of 22 and 33.
  12. 12.Find the HCF of 98 and 112.
  13. 13.Find the LCM of 18 and 8.
  14. 14.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 21. What is the other number?
  15. 15.Find the HCF of 40 and 30.
  16. 16.Find the LCM of 12, 13 and 6.
  17. 17.Find the HCF of 36 and 96.
  18. 18.Find the LCM of 4, 2 and 3.
  19. 19.Find the LCM of 12, 9 and 6.
  20. 20.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 10. What is the other number?
  21. 21.Find the LCM of 5 and 9.
  22. 22.Find the HCF of 84 and 48.
  23. 23.Find the LCM of 4, 2 and 5.
  24. 24.Find the HCF of 20 and 12.
  25. 25.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 24. What is the other number?
  26. 26.Find the HCF of 48 and 60.
  27. 27.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 14. What is the other number?
  28. 28.Find the HCF of 12 and 21.
  29. 29.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 21. What is the other number?
  30. 30.Find the LCM of 14, 2 and 11.
  31. 31.Find the LCM of 10, 8 and 3.
  32. 32.Find the HCF of 81 and 18.
  33. 33.Find the LCM of 6, 15 and 4.
  34. 34.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 14. What is the other number?
  35. 35.Find the LCM of 12 and 14.
  36. 36.Find the LCM of 4, 8 and 5.
  37. 37.Find the HCF of 16 and 36.
  38. 38.Find the LCM of 14, 3 and 4.
  39. 39.Find the LCM of 12, 7 and 14.
  40. 40.Find the HCF of 98 and 126.

Answer key

  1. 14
  2. 84
  3. 6
  4. 50
  5. 110
  6. 24
  7. 4
  8. 12
  9. 6
  10. 49
  11. 11
  12. 14
  13. 72
  14. 9
  15. 10
  16. 156
  17. 12
  18. 12
  19. 36
  20. 18
  21. 45
  22. 12
  23. 20
  24. 4
  25. 32
  26. 12
  27. 12
  28. 3
  29. 15
  30. 154
  31. 120
  32. 9
  33. 60
  34. 16
  35. 84
  36. 40
  37. 4
  38. 84
  39. 84
  40. 14

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