← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 997 · 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 14, 6 and 8.
  3. 3.Find the LCM of 10, 3 and 4.
  4. 4.Find the LCM of 6 and 16.
  5. 5.The HCF of two numbers is 8 and their LCM is 504. One of the numbers is 72. What is the other number?
  6. 6.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 21. What is the other number?
  7. 7.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 9. What is the other number?
  8. 8.Find the HCF of 18 and 63.
  9. 9.Find the LCM of 4, 2 and 12.
  10. 10.Find the LCM of 2, 6 and 11.
  11. 11.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 18. What is the other number?
  12. 12.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 63. What is the other number?
  13. 13.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 32. What is the other number?
  14. 14.Find the HCF of 70 and 20.
  15. 15.Find the LCM of 25 and 10.
  16. 16.Find the HCF of 98 and 28.
  17. 17.Find the HCF of 80 and 90.
  18. 18.Find the HCF of 16 and 14.
  19. 19.Find the HCF of 120 and 45.
  20. 20.Find the HCF of 30 and 105.
  21. 21.Find the LCM of 16 and 12.
  22. 22.Find the LCM of 36 and 28.
  23. 23.The HCF of two numbers is 6 and their LCM is 60. One of the numbers is 30. What is the other number?
  24. 24.Find the LCM of 10 and 8.
  25. 25.The HCF of two numbers is 4 and their LCM is 160. One of the numbers is 32. What is the other number?
  26. 26.Find the LCM of 2 and 5.
  27. 27.Find the LCM of 9, 11 and 3.
  28. 28.Find the LCM of 10, 5 and 12.
  29. 29.Find the LCM of 10 and 15.
  30. 30.Find the HCF of 56 and 21.
  31. 31.Find the LCM of 11, 7 and 3.
  32. 32.Find the LCM of 3, 7 and 4.
  33. 33.Find the HCF of 40 and 15.
  34. 34.Find the HCF of 48 and 60.
  35. 35.The HCF of two numbers is 8 and their LCM is 192. One of the numbers is 24. What is the other number?
  36. 36.Find the LCM of 10, 14 and 6.
  37. 37.Find the HCF of 56 and 126.
  38. 38.Find the LCM of 3, 10 and 12.
  39. 39.Find the LCM of 13, 6 and 4.
  40. 40.Find the LCM of 5, 4 and 6.

Answer key

  1. 14
  2. 168
  3. 60
  4. 48
  5. 56
  6. 14
  7. 21
  8. 9
  9. 12
  10. 66
  11. 12
  12. 35
  13. 56
  14. 10
  15. 50
  16. 14
  17. 10
  18. 2
  19. 15
  20. 15
  21. 48
  22. 252
  23. 12
  24. 40
  25. 20
  26. 10
  27. 99
  28. 60
  29. 30
  30. 7
  31. 231
  32. 84
  33. 5
  34. 12
  35. 64
  36. 210
  37. 14
  38. 60
  39. 156
  40. 60

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