← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 657 · 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 7 and their LCM is 168. One of the numbers is 21. What is the other number?
  2. 2.Find the HCF of 50 and 90.
  3. 3.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 12. What is the other number?
  4. 4.Find the LCM of 14, 15 and 5.
  5. 5.Find the HCF of 55 and 33.
  6. 6.Find the LCM of 11, 2 and 3.
  7. 7.Find the HCF of 6 and 8.
  8. 8.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 15. What is the other number?
  9. 9.Find the HCF of 45 and 105.
  10. 10.Find the LCM of 6, 2 and 7.
  11. 11.Find the HCF of 135 and 105.
  12. 12.The HCF of two numbers is 9 and their LCM is 378. One of the numbers is 54. What is the other number?
  13. 13.Find the LCM of 9, 4 and 5.
  14. 14.Find the HCF of 9 and 6.
  15. 15.The HCF of two numbers is 8 and their LCM is 240. One of the numbers is 40. What is the other number?
  16. 16.Find the LCM of 4, 2 and 5.
  17. 17.Find the HCF of 21 and 12.
  18. 18.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 15. What is the other number?
  19. 19.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 24. What is the other number?
  20. 20.The HCF of two numbers is 7 and their LCM is 252. One of the numbers is 63. What is the other number?
  21. 21.Find the LCM of 3 and 7.
  22. 22.Find the HCF of 16 and 72.
  23. 23.Find the LCM of 5 and 2.
  24. 24.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 35. What is the other number?
  25. 25.Find the LCM of 2, 8 and 15.
  26. 26.Find the LCM of 16 and 10.
  27. 27.Find the LCM of 8 and 10.
  28. 28.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 18. What is the other number?
  29. 29.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 16. What is the other number?
  30. 30.Find the HCF of 21 and 15.
  31. 31.Find the HCF of 12 and 15.
  32. 32.Find the LCM of 27 and 24.
  33. 33.Find the LCM of 3 and 5.
  34. 34.Find the LCM of 10, 2 and 12.
  35. 35.Find the LCM of 18 and 8.
  36. 36.Find the HCF of 21 and 49.
  37. 37.Find the LCM of 15, 7 and 14.
  38. 38.Find the HCF of 50 and 70.
  39. 39.The HCF of two numbers is 5 and their LCM is 225. One of the numbers is 45. What is the other number?
  40. 40.The HCF of two numbers is 4 and their LCM is 120. One of the numbers is 24. What is the other number?

Answer key

  1. 56
  2. 10
  3. 27
  4. 210
  5. 11
  6. 66
  7. 2
  8. 27
  9. 15
  10. 42
  11. 15
  12. 63
  13. 180
  14. 3
  15. 48
  16. 20
  17. 3
  18. 10
  19. 40
  20. 28
  21. 21
  22. 8
  23. 10
  24. 45
  25. 120
  26. 80
  27. 40
  28. 12
  29. 10
  30. 3
  31. 3
  32. 216
  33. 15
  34. 60
  35. 72
  36. 7
  37. 210
  38. 10
  39. 25
  40. 20

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