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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 759 · 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 5, 7 and 4.
  2. 2.The HCF of two numbers is 5 and their LCM is 200. One of the numbers is 25. What is the other number?
  3. 3.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 35. What is the other number?
  4. 4.Find the HCF of 6 and 16.
  5. 5.Find the LCM of 7 and 5.
  6. 6.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 12. What is the other number?
  7. 7.Find the LCM of 15 and 24.
  8. 8.Find the HCF of 18 and 4.
  9. 9.Find the HCF of 84 and 36.
  10. 10.Find the HCF of 72 and 84.
  11. 11.Find the LCM of 15, 5 and 14.
  12. 12.Find the LCM of 3, 7 and 5.
  13. 13.Find the LCM of 12 and 20.
  14. 14.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 14. What is the other number?
  15. 15.Find the LCM of 6 and 15.
  16. 16.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 40. What is the other number?
  17. 17.Find the LCM of 12 and 18.
  18. 18.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 10. What is the other number?
  19. 19.Find the HCF of 36 and 45.
  20. 20.The HCF of two numbers is 7 and their LCM is 147. One of the numbers is 49. What is the other number?
  21. 21.Find the HCF of 10 and 6.
  22. 22.Find the HCF of 39 and 26.
  23. 23.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 27. What is the other number?
  24. 24.Find the LCM of 21 and 15.
  25. 25.Find the HCF of 56 and 98.
  26. 26.Find the LCM of 2, 12 and 3.
  27. 27.Find the LCM of 20 and 32.
  28. 28.Find the LCM of 7, 11 and 14.
  29. 29.Find the LCM of 10, 2 and 8.
  30. 30.Find the HCF of 63 and 27.
  31. 31.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 16. What is the other number?
  32. 32.Find the HCF of 30 and 54.
  33. 33.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 28. What is the other number?
  34. 34.Find the HCF of 20 and 50.
  35. 35.Find the LCM of 7 and 4.
  36. 36.Find the LCM of 9, 5 and 10.
  37. 37.The HCF of two numbers is 8 and their LCM is 448. One of the numbers is 64. What is the other number?
  38. 38.Find the LCM of 6 and 8.
  39. 39.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 8. What is the other number?
  40. 40.Find the HCF of 28 and 70.

Answer key

  1. 140
  2. 40
  3. 28
  4. 2
  5. 35
  6. 18
  7. 120
  8. 2
  9. 12
  10. 12
  11. 210
  12. 105
  13. 60
  14. 18
  15. 30
  16. 32
  17. 36
  18. 35
  19. 9
  20. 21
  21. 2
  22. 13
  23. 72
  24. 105
  25. 14
  26. 12
  27. 160
  28. 154
  29. 40
  30. 9
  31. 12
  32. 6
  33. 8
  34. 10
  35. 28
  36. 90
  37. 56
  38. 24
  39. 20
  40. 14

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