← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 534 · 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 88 and 99.
  2. 2.The HCF of two numbers is 9 and their LCM is 135. One of the numbers is 27. What is the other number?
  3. 3.Find the HCF of 6 and 15.
  4. 4.Find the LCM of 10 and 4.
  5. 5.Find the LCM of 4, 5 and 9.
  6. 6.Find the LCM of 5, 3 and 10.
  7. 7.Find the LCM of 4, 6 and 15.
  8. 8.Find the LCM of 16 and 36.
  9. 9.Find the LCM of 4 and 9.
  10. 10.Find the HCF of 55 and 88.
  11. 11.Find the LCM of 15, 10 and 2.
  12. 12.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 24. What is the other number?
  13. 13.Find the LCM of 3, 6 and 7.
  14. 14.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 81. What is the other number?
  15. 15.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 12. What is the other number?
  16. 16.Find the HCF of 70 and 90.
  17. 17.Find the LCM of 6 and 10.
  18. 18.Find the LCM of 35 and 15.
  19. 19.Find the LCM of 15 and 6.
  20. 20.The HCF of two numbers is 8 and their LCM is 112. One of the numbers is 56. What is the other number?
  21. 21.Find the LCM of 30 and 54.
  22. 22.Find the HCF of 6 and 14.
  23. 23.Find the LCM of 9 and 21.
  24. 24.Find the HCF of 42 and 12.
  25. 25.Find the HCF of 104 and 39.
  26. 26.Find the HCF of 12 and 42.
  27. 27.Find the LCM of 11, 3 and 12.
  28. 28.Find the HCF of 126 and 70.
  29. 29.Find the HCF of 27 and 72.
  30. 30.Find the HCF of 55 and 22.
  31. 31.Find the HCF of 12 and 16.
  32. 32.Find the HCF of 26 and 65.
  33. 33.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 12. What is the other number?
  34. 34.Find the HCF of 30 and 25.
  35. 35.Find the LCM of 30 and 36.
  36. 36.The HCF of two numbers is 2 and their LCM is 40. One of the numbers is 8. What is the other number?
  37. 37.Find the HCF of 9 and 12.
  38. 38.Find the LCM of 2, 13 and 14.
  39. 39.Find the LCM of 12, 5 and 2.
  40. 40.Find the LCM of 18 and 15.

Answer key

  1. 11
  2. 45
  3. 3
  4. 20
  5. 180
  6. 30
  7. 60
  8. 144
  9. 36
  10. 11
  11. 30
  12. 32
  13. 42
  14. 45
  15. 32
  16. 10
  17. 30
  18. 105
  19. 30
  20. 16
  21. 270
  22. 2
  23. 63
  24. 6
  25. 13
  26. 6
  27. 132
  28. 14
  29. 9
  30. 11
  31. 4
  32. 13
  33. 15
  34. 5
  35. 180
  36. 10
  37. 3
  38. 182
  39. 60
  40. 90

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