← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 513 · 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 12 and 42.
  2. 2.Find the LCM of 14 and 16.
  3. 3.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 20. What is the other number?
  4. 4.Find the LCM of 10 and 25.
  5. 5.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 36. What is the other number?
  6. 6.Find the LCM of 9 and 21.
  7. 7.Find the LCM of 9, 2 and 8.
  8. 8.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 6. What is the other number?
  9. 9.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 32. What is the other number?
  10. 10.The HCF of two numbers is 6 and their LCM is 378. One of the numbers is 42. What is the other number?
  11. 11.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 35. What is the other number?
  12. 12.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 28. What is the other number?
  13. 13.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 16. What is the other number?
  14. 14.Find the HCF of 90 and 50.
  15. 15.Find the HCF of 33 and 22.
  16. 16.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 28. What is the other number?
  17. 17.Find the LCM of 24 and 54.
  18. 18.Find the LCM of 15, 5 and 13.
  19. 19.Find the LCM of 10, 11 and 2.
  20. 20.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 35. What is the other number?
  21. 21.Find the LCM of 20 and 8.
  22. 22.The HCF of two numbers is 7 and their LCM is 252. One of the numbers is 63. What is the other number?
  23. 23.The HCF of two numbers is 9 and their LCM is 648. One of the numbers is 81. What is the other number?
  24. 24.Find the LCM of 7, 12 and 8.
  25. 25.Find the HCF of 25 and 45.
  26. 26.Find the LCM of 42 and 18.
  27. 27.Find the HCF of 42 and 49.
  28. 28.Find the LCM of 6, 3 and 5.
  29. 29.Find the HCF of 45 and 10.
  30. 30.Find the LCM of 36 and 20.
  31. 31.Find the LCM of 48 and 30.
  32. 32.Find the HCF of 60 and 84.
  33. 33.Find the HCF of 28 and 126.
  34. 34.Find the LCM of 6, 12 and 3.
  35. 35.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 15. What is the other number?
  36. 36.Find the LCM of 25 and 30.
  37. 37.Find the HCF of 77 and 55.
  38. 38.Find the LCM of 15 and 18.
  39. 39.Find the LCM of 4, 13 and 6.
  40. 40.Find the HCF of 63 and 81.

Answer key

  1. 6
  2. 112
  3. 8
  4. 50
  5. 8
  6. 63
  7. 72
  8. 15
  9. 12
  10. 54
  11. 10
  12. 32
  13. 28
  14. 10
  15. 11
  16. 8
  17. 216
  18. 195
  19. 110
  20. 14
  21. 40
  22. 28
  23. 72
  24. 168
  25. 5
  26. 126
  27. 7
  28. 30
  29. 5
  30. 180
  31. 240
  32. 12
  33. 14
  34. 12
  35. 20
  36. 150
  37. 11
  38. 90
  39. 156
  40. 9

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