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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 865 · 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 56 and 49.
  2. 2.Find the LCM of 10, 5 and 7.
  3. 3.Find the LCM of 40 and 45.
  4. 4.Find the HCF of 18 and 42.
  5. 5.The HCF of two numbers is 8 and their LCM is 112. One of the numbers is 56. What is the other number?
  6. 6.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 8. What is the other number?
  7. 7.Find the LCM of 2 and 3.
  8. 8.The HCF of two numbers is 4 and their LCM is 252. One of the numbers is 36. What is the other number?
  9. 9.Find the HCF of 10 and 16.
  10. 10.Find the LCM of 2, 7 and 5.
  11. 11.Find the HCF of 28 and 70.
  12. 12.Find the HCF of 28 and 98.
  13. 13.The HCF of two numbers is 9 and their LCM is 270. One of the numbers is 54. What is the other number?
  14. 14.Find the LCM of 7, 10 and 6.
  15. 15.Find the LCM of 10, 5 and 6.
  16. 16.Find the LCM of 9, 2 and 6.
  17. 17.Find the LCM of 11, 15 and 3.
  18. 18.Find the LCM of 3, 10 and 2.
  19. 19.Find the HCF of 52 and 39.
  20. 20.Find the LCM of 14, 12 and 2.
  21. 21.Find the HCF of 20 and 50.
  22. 22.Find the HCF of 98 and 70.
  23. 23.Find the LCM of 15, 5 and 13.
  24. 24.Find the LCM of 30 and 25.
  25. 25.Find the HCF of 18 and 30.
  26. 26.Find the LCM of 3, 2 and 9.
  27. 27.Find the HCF of 63 and 56.
  28. 28.The HCF of two numbers is 7 and their LCM is 147. One of the numbers is 21. What is the other number?
  29. 29.Find the LCM of 5 and 3.
  30. 30.Find the LCM of 24 and 9.
  31. 31.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 63. What is the other number?
  32. 32.Find the LCM of 15 and 35.
  33. 33.Find the LCM of 54 and 42.
  34. 34.Find the LCM of 13, 10 and 2.
  35. 35.The HCF of two numbers is 7 and their LCM is 168. One of the numbers is 56. What is the other number?
  36. 36.Find the LCM of 27 and 15.
  37. 37.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 12. What is the other number?
  38. 38.Find the LCM of 10, 2 and 14.
  39. 39.Find the LCM of 24 and 30.
  40. 40.Find the LCM of 2 and 7.

Answer key

  1. 7
  2. 70
  3. 360
  4. 6
  5. 16
  6. 36
  7. 6
  8. 28
  9. 2
  10. 70
  11. 14
  12. 14
  13. 45
  14. 210
  15. 30
  16. 18
  17. 165
  18. 30
  19. 13
  20. 84
  21. 10
  22. 14
  23. 195
  24. 150
  25. 6
  26. 18
  27. 7
  28. 49
  29. 15
  30. 72
  31. 27
  32. 105
  33. 378
  34. 130
  35. 21
  36. 135
  37. 18
  38. 70
  39. 120
  40. 14

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