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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 661 · 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 14 and 35.
  2. 2.Find the HCF of 70 and 20.
  3. 3.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 35. What is the other number?
  4. 4.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 10. What is the other number?
  5. 5.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 10. What is the other number?
  6. 6.Find the HCF of 49 and 35.
  7. 7.Find the HCF of 63 and 72.
  8. 8.The HCF of two numbers is 5 and their LCM is 200. One of the numbers is 25. What is the other number?
  9. 9.Find the HCF of 20 and 16.
  10. 10.Find the LCM of 20 and 35.
  11. 11.Find the HCF of 135 and 75.
  12. 12.Find the HCF of 20 and 8.
  13. 13.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 25. What is the other number?
  14. 14.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 6. What is the other number?
  15. 15.Find the HCF of 28 and 126.
  16. 16.Find the HCF of 16 and 6.
  17. 17.Find the LCM of 3 and 5.
  18. 18.Find the LCM of 12, 15 and 3.
  19. 19.Find the LCM of 11, 9 and 2.
  20. 20.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 18. What is the other number?
  21. 21.Find the HCF of 30 and 12.
  22. 22.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 35. What is the other number?
  23. 23.Find the LCM of 25 and 40.
  24. 24.Find the LCM of 8 and 18.
  25. 25.Find the LCM of 3, 7 and 2.
  26. 26.Find the LCM of 5, 8 and 12.
  27. 27.The HCF of two numbers is 7 and their LCM is 147. One of the numbers is 21. What is the other number?
  28. 28.Find the LCM of 10, 11 and 5.
  29. 29.Find the LCM of 12, 5 and 8.
  30. 30.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 56. What is the other number?
  31. 31.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 16. What is the other number?
  32. 32.Find the LCM of 18 and 8.
  33. 33.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 24. What is the other number?
  34. 34.Find the LCM of 7 and 4.
  35. 35.Find the LCM of 20 and 12.
  36. 36.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 27. What is the other number?
  37. 37.Find the LCM of 25 and 10.
  38. 38.Find the LCM of 9 and 5.
  39. 39.Find the LCM of 10, 2 and 15.
  40. 40.Find the HCF of 15 and 12.

Answer key

  1. 7
  2. 10
  3. 10
  4. 14
  5. 4
  6. 7
  7. 9
  8. 40
  9. 4
  10. 140
  11. 15
  12. 4
  13. 10
  14. 14
  15. 14
  16. 2
  17. 15
  18. 60
  19. 198
  20. 42
  21. 6
  22. 40
  23. 200
  24. 72
  25. 42
  26. 120
  27. 49
  28. 110
  29. 120
  30. 48
  31. 14
  32. 72
  33. 40
  34. 28
  35. 60
  36. 24
  37. 50
  38. 45
  39. 30
  40. 3

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