← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 990 · 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 LCM of 15, 9 and 6.
  2. 2.Find the HCF of 36 and 32.
  3. 3.Find the HCF of 35 and 49.
  4. 4.Find the HCF of 72 and 27.
  5. 5.Find the HCF of 33 and 22.
  6. 6.The HCF of two numbers is 7 and their LCM is 294. One of the numbers is 42. What is the other number?
  7. 7.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 14. What is the other number?
  8. 8.Find the HCF of 56 and 70.
  9. 9.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 21. What is the other number?
  10. 10.Find the LCM of 4, 7 and 6.
  11. 11.The HCF of two numbers is 8 and their LCM is 280. One of the numbers is 40. What is the other number?
  12. 12.Find the HCF of 18 and 45.
  13. 13.Find the LCM of 2, 11 and 5.
  14. 14.Find the LCM of 8, 10 and 4.
  15. 15.Find the LCM of 28 and 24.
  16. 16.Find the HCF of 35 and 28.
  17. 17.Find the HCF of 88 and 99.
  18. 18.Find the HCF of 77 and 55.
  19. 19.Find the LCM of 14, 15 and 7.
  20. 20.Find the HCF of 35 and 40.
  21. 21.Find the LCM of 2 and 9.
  22. 22.Find the HCF of 50 and 70.
  23. 23.Find the LCM of 11, 4 and 10.
  24. 24.Find the HCF of 27 and 21.
  25. 25.Find the LCM of 2 and 3.
  26. 26.Find the HCF of 24 and 60.
  27. 27.Find the LCM of 6, 14 and 4.
  28. 28.Find the HCF of 33 and 77.
  29. 29.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 27. What is the other number?
  30. 30.The HCF of two numbers is 9 and their LCM is 360. One of the numbers is 72. What is the other number?
  31. 31.Find the LCM of 5 and 4.
  32. 32.Find the LCM of 15 and 20.
  33. 33.The HCF of two numbers is 5 and their LCM is 140. One of the numbers is 20. What is the other number?
  34. 34.Find the HCF of 72 and 32.
  35. 35.Find the LCM of 36 and 16.
  36. 36.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 27. What is the other number?
  37. 37.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 4. What is the other number?
  38. 38.Find the HCF of 75 and 135.
  39. 39.Find the LCM of 7 and 2.
  40. 40.Find the LCM of 18 and 21.

Answer key

  1. 90
  2. 4
  3. 7
  4. 9
  5. 11
  6. 49
  7. 12
  8. 14
  9. 28
  10. 84
  11. 56
  12. 9
  13. 110
  14. 40
  15. 168
  16. 7
  17. 11
  18. 11
  19. 210
  20. 5
  21. 18
  22. 10
  23. 220
  24. 3
  25. 6
  26. 12
  27. 84
  28. 11
  29. 6
  30. 45
  31. 20
  32. 60
  33. 35
  34. 8
  35. 144
  36. 15
  37. 14
  38. 15
  39. 14
  40. 126

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