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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 870 · 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 3, 5 and 14.
  2. 2.Find the HCF of 20 and 45.
  3. 3.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 24. What is the other number?
  4. 4.The HCF of two numbers is 4 and their LCM is 120. One of the numbers is 24. What is the other number?
  5. 5.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 30. What is the other number?
  6. 6.Find the LCM of 10, 13 and 2.
  7. 7.Find the LCM of 9 and 24.
  8. 8.The HCF of two numbers is 4 and their LCM is 160. One of the numbers is 32. What is the other number?
  9. 9.Find the HCF of 126 and 28.
  10. 10.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 14. What is the other number?
  11. 11.Find the LCM of 4, 10 and 5.
  12. 12.Find the LCM of 4, 14 and 3.
  13. 13.The HCF of two numbers is 7 and their LCM is 196. One of the numbers is 28. What is the other number?
  14. 14.Find the LCM of 30 and 48.
  15. 15.Find the HCF of 50 and 40.
  16. 16.Find the HCF of 16 and 40.
  17. 17.Find the LCM of 5, 15 and 4.
  18. 18.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 18. What is the other number?
  19. 19.Find the HCF of 48 and 108.
  20. 20.Find the LCM of 13, 2 and 9.
  21. 21.Find the HCF of 24 and 32.
  22. 22.The HCF of two numbers is 4 and their LCM is 168. One of the numbers is 24. What is the other number?
  23. 23.Find the LCM of 15 and 24.
  24. 24.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 16. What is the other number?
  25. 25.Find the LCM of 42 and 54.
  26. 26.Find the LCM of 9 and 5.
  27. 27.The HCF of two numbers is 6 and their LCM is 240. One of the numbers is 30. What is the other number?
  28. 28.Find the LCM of 7 and 9.
  29. 29.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 16. What is the other number?
  30. 30.The HCF of two numbers is 7 and their LCM is 147. One of the numbers is 21. What is the other number?
  31. 31.Find the HCF of 22 and 77.
  32. 32.Find the HCF of 16 and 28.
  33. 33.Find the HCF of 40 and 30.
  34. 34.Find the HCF of 63 and 36.
  35. 35.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 12. What is the other number?
  36. 36.Find the HCF of 104 and 39.
  37. 37.The HCF of two numbers is 7 and their LCM is 504. One of the numbers is 56. What is the other number?
  38. 38.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 42. What is the other number?
  39. 39.Find the HCF of 42 and 28.
  40. 40.The HCF of two numbers is 4 and their LCM is 80. One of the numbers is 16. What is the other number?

Answer key

  1. 210
  2. 5
  3. 40
  4. 20
  5. 18
  6. 130
  7. 72
  8. 20
  9. 14
  10. 35
  11. 20
  12. 84
  13. 49
  14. 240
  15. 10
  16. 8
  17. 60
  18. 81
  19. 12
  20. 234
  21. 8
  22. 28
  23. 120
  24. 24
  25. 378
  26. 45
  27. 48
  28. 63
  29. 18
  30. 49
  31. 11
  32. 4
  33. 10
  34. 9
  35. 20
  36. 13
  37. 63
  38. 18
  39. 14
  40. 20

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