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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 901 · 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 5 and their LCM is 90. One of the numbers is 10. What is the other number?
  2. 2.Find the LCM of 5, 9 and 10.
  3. 3.Find the HCF of 4 and 6.
  4. 4.Find the HCF of 48 and 42.
  5. 5.Find the LCM of 5 and 6.
  6. 6.Find the LCM of 15, 3 and 2.
  7. 7.The HCF of two numbers is 3 and their LCM is 168. One of the numbers is 21. What is the other number?
  8. 8.Find the HCF of 12 and 32.
  9. 9.Find the LCM of 2, 14 and 10.
  10. 10.Find the LCM of 3, 6 and 10.
  11. 11.The HCF of two numbers is 4 and their LCM is 252. One of the numbers is 36. What is the other number?
  12. 12.Find the LCM of 12, 6 and 15.
  13. 13.Find the HCF of 104 and 39.
  14. 14.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 10. What is the other number?
  15. 15.Find the HCF of 16 and 72.
  16. 16.Find the LCM of 8 and 28.
  17. 17.Find the HCF of 120 and 105.
  18. 18.Find the HCF of 27 and 15.
  19. 19.Find the HCF of 4 and 14.
  20. 20.Find the LCM of 14 and 4.
  21. 21.Find the HCF of 117 and 52.
  22. 22.Find the LCM of 9, 15 and 3.
  23. 23.Find the HCF of 28 and 24.
  24. 24.Find the LCM of 13, 4 and 3.
  25. 25.Find the LCM of 7, 10 and 5.
  26. 26.Find the HCF of 30 and 135.
  27. 27.Find the HCF of 6 and 4.
  28. 28.Find the LCM of 24 and 18.
  29. 29.Find the LCM of 3, 2 and 4.
  30. 30.The HCF of two numbers is 9 and their LCM is 360. One of the numbers is 45. What is the other number?
  31. 31.Find the HCF of 15 and 27.
  32. 32.Find the HCF of 8 and 12.
  33. 33.Find the HCF of 15 and 10.
  34. 34.Find the LCM of 5, 11 and 3.
  35. 35.Find the HCF of 20 and 12.
  36. 36.Find the LCM of 36 and 8.
  37. 37.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 63. What is the other number?
  38. 38.Find the HCF of 9 and 12.
  39. 39.Find the LCM of 8, 12 and 5.
  40. 40.Find the HCF of 15 and 12.

Answer key

  1. 45
  2. 90
  3. 2
  4. 6
  5. 30
  6. 30
  7. 24
  8. 4
  9. 70
  10. 30
  11. 28
  12. 60
  13. 13
  14. 15
  15. 8
  16. 56
  17. 15
  18. 3
  19. 2
  20. 28
  21. 13
  22. 45
  23. 4
  24. 156
  25. 70
  26. 15
  27. 2
  28. 72
  29. 12
  30. 72
  31. 3
  32. 4
  33. 5
  34. 165
  35. 4
  36. 72
  37. 18
  38. 3
  39. 120
  40. 3

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