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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 899 · 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 3 and their LCM is 45. One of the numbers is 9. What is the other number?
  2. 2.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 14. What is the other number?
  3. 3.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 10. What is the other number?
  4. 4.Find the HCF of 72 and 16.
  5. 5.Find the LCM of 7, 14 and 15.
  6. 6.Find the LCM of 5, 2 and 7.
  7. 7.The HCF of two numbers is 4 and their LCM is 160. One of the numbers is 20. What is the other number?
  8. 8.Find the HCF of 24 and 84.
  9. 9.The HCF of two numbers is 2 and their LCM is 60. One of the numbers is 12. What is the other number?
  10. 10.Find the LCM of 48 and 18.
  11. 11.The HCF of two numbers is 7 and their LCM is 196. One of the numbers is 49. What is the other number?
  12. 12.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 35. What is the other number?
  13. 13.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 15. What is the other number?
  14. 14.Find the LCM of 9, 5 and 2.
  15. 15.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 72. What is the other number?
  16. 16.Find the LCM of 2, 7 and 12.
  17. 17.Find the HCF of 30 and 45.
  18. 18.Find the LCM of 9 and 6.
  19. 19.Find the HCF of 104 and 91.
  20. 20.Find the HCF of 33 and 22.
  21. 21.Find the LCM of 6, 15 and 4.
  22. 22.Find the HCF of 12 and 18.
  23. 23.The HCF of two numbers is 7 and their LCM is 504. One of the numbers is 56. What is the other number?
  24. 24.Find the LCM of 3, 6 and 13.
  25. 25.Find the HCF of 30 and 42.
  26. 26.Find the LCM of 8, 14 and 12.
  27. 27.Find the LCM of 3, 13 and 9.
  28. 28.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 8. What is the other number?
  29. 29.Find the LCM of 7 and 8.
  30. 30.Find the HCF of 6 and 8.
  31. 31.Find the LCM of 20 and 45.
  32. 32.Find the LCM of 15 and 27.
  33. 33.Find the HCF of 14 and 35.
  34. 34.Find the HCF of 10 and 4.
  35. 35.Find the HCF of 88 and 55.
  36. 36.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 15. What is the other number?
  37. 37.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 8. What is the other number?
  38. 38.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 18. What is the other number?
  39. 39.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 36. What is the other number?
  40. 40.Find the HCF of 15 and 20.

Answer key

  1. 15
  2. 10
  3. 25
  4. 8
  5. 210
  6. 70
  7. 32
  8. 12
  9. 10
  10. 144
  11. 28
  12. 56
  13. 10
  14. 90
  15. 27
  16. 84
  17. 15
  18. 18
  19. 13
  20. 11
  21. 60
  22. 6
  23. 63
  24. 78
  25. 6
  26. 168
  27. 117
  28. 18
  29. 56
  30. 2
  31. 180
  32. 135
  33. 7
  34. 2
  35. 11
  36. 24
  37. 20
  38. 4
  39. 27
  40. 5

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