← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 260 · 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 96 and 60.
  2. 2.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 15. What is the other number?
  3. 3.Find the LCM of 21 and 24.
  4. 4.Find the LCM of 10, 6 and 8.
  5. 5.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 15. What is the other number?
  6. 6.Find the HCF of 35 and 30.
  7. 7.Find the LCM of 6 and 4.
  8. 8.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 15. What is the other number?
  9. 9.The HCF of two numbers is 8 and their LCM is 576. One of the numbers is 72. What is the other number?
  10. 10.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 35. What is the other number?
  11. 11.The HCF of two numbers is 2 and their LCM is 60. One of the numbers is 10. What is the other number?
  12. 12.Find the HCF of 20 and 45.
  13. 13.Find the LCM of 10, 15 and 6.
  14. 14.Find the LCM of 30 and 12.
  15. 15.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 15. What is the other number?
  16. 16.Find the HCF of 117 and 65.
  17. 17.Find the HCF of 54 and 63.
  18. 18.Find the HCF of 25 and 30.
  19. 19.Find the LCM of 3, 7 and 8.
  20. 20.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 24. What is the other number?
  21. 21.Find the LCM of 6 and 27.
  22. 22.Find the HCF of 56 and 126.
  23. 23.Find the HCF of 42 and 70.
  24. 24.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 6. What is the other number?
  25. 25.Find the HCF of 12 and 10.
  26. 26.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 27. What is the other number?
  27. 27.Find the HCF of 25 and 10.
  28. 28.Find the LCM of 3, 5 and 15.
  29. 29.Find the LCM of 3, 5 and 2.
  30. 30.Find the HCF of 6 and 21.
  31. 31.Find the HCF of 15 and 20.
  32. 32.Find the LCM of 18 and 21.
  33. 33.Find the LCM of 2, 15 and 10.
  34. 34.Find the LCM of 21 and 9.
  35. 35.Find the LCM of 6, 2 and 4.
  36. 36.Find the LCM of 10 and 6.
  37. 37.Find the LCM of 18 and 14.
  38. 38.Find the LCM of 8, 2 and 3.
  39. 39.Find the LCM of 6, 14 and 7.
  40. 40.Find the HCF of 24 and 21.

Answer key

  1. 12
  2. 12
  3. 168
  4. 120
  5. 10
  6. 5
  7. 12
  8. 21
  9. 64
  10. 28
  11. 12
  12. 5
  13. 30
  14. 60
  15. 25
  16. 13
  17. 9
  18. 5
  19. 168
  20. 16
  21. 54
  22. 14
  23. 14
  24. 27
  25. 2
  26. 15
  27. 5
  28. 15
  29. 30
  30. 3
  31. 5
  32. 126
  33. 30
  34. 63
  35. 12
  36. 30
  37. 126
  38. 24
  39. 42
  40. 3

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