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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 302 · 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 6 and their LCM is 126. One of the numbers is 42. What is the other number?
  2. 2.Find the HCF of 27 and 21.
  3. 3.Find the HCF of 98 and 126.
  4. 4.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 15. What is the other number?
  5. 5.Find the LCM of 15 and 24.
  6. 6.Find the LCM of 7, 8 and 14.
  7. 7.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 8. What is the other number?
  8. 8.Find the LCM of 9 and 6.
  9. 9.Find the HCF of 42 and 54.
  10. 10.Find the HCF of 50 and 80.
  11. 11.Find the HCF of 52 and 39.
  12. 12.Find the LCM of 21 and 6.
  13. 13.Find the LCM of 9, 14 and 3.
  14. 14.Find the HCF of 40 and 32.
  15. 15.Find the HCF of 20 and 45.
  16. 16.Find the HCF of 14 and 6.
  17. 17.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 15. What is the other number?
  18. 18.Find the LCM of 18 and 48.
  19. 19.Find the HCF of 77 and 99.
  20. 20.Find the HCF of 32 and 20.
  21. 21.Find the LCM of 9, 12 and 15.
  22. 22.The HCF of two numbers is 8 and their LCM is 280. One of the numbers is 40. What is the other number?
  23. 23.Find the LCM of 8, 4 and 7.
  24. 24.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 14. What is the other number?
  25. 25.Find the LCM of 16 and 28.
  26. 26.The HCF of two numbers is 6 and their LCM is 216. One of the numbers is 24. What is the other number?
  27. 27.The HCF of two numbers is 5 and their LCM is 200. One of the numbers is 40. What is the other number?
  28. 28.Find the LCM of 12 and 8.
  29. 29.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 18. What is the other number?
  30. 30.Find the LCM of 12 and 16.
  31. 31.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 40. What is the other number?
  32. 32.Find the LCM of 12, 2 and 8.
  33. 33.Find the LCM of 9, 6 and 7.
  34. 34.The HCF of two numbers is 7 and their LCM is 147. One of the numbers is 49. What is the other number?
  35. 35.Find the LCM of 11, 2 and 5.
  36. 36.The HCF of two numbers is 5 and their LCM is 100. One of the numbers is 20. What is the other number?
  37. 37.Find the LCM of 5 and 9.
  38. 38.Find the HCF of 56 and 98.
  39. 39.Find the LCM of 8, 15 and 12.
  40. 40.Find the LCM of 9, 3 and 6.

Answer key

  1. 18
  2. 3
  3. 14
  4. 27
  5. 120
  6. 56
  7. 28
  8. 18
  9. 6
  10. 10
  11. 13
  12. 42
  13. 126
  14. 8
  15. 5
  16. 2
  17. 12
  18. 144
  19. 11
  20. 4
  21. 180
  22. 56
  23. 56
  24. 6
  25. 112
  26. 54
  27. 25
  28. 24
  29. 42
  30. 48
  31. 16
  32. 24
  33. 126
  34. 21
  35. 110
  36. 25
  37. 45
  38. 14
  39. 120
  40. 18

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