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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 983 · 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 and 9.
  2. 2.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 36. What is the other number?
  3. 3.The HCF of two numbers is 7 and their LCM is 252. One of the numbers is 28. What is the other number?
  4. 4.Find the HCF of 80 and 50.
  5. 5.Find the HCF of 60 and 72.
  6. 6.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 28. What is the other number?
  7. 7.Find the HCF of 45 and 10.
  8. 8.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 72. What is the other number?
  9. 9.Find the HCF of 28 and 49.
  10. 10.Find the HCF of 126 and 98.
  11. 11.Find the LCM of 40 and 15.
  12. 12.Find the HCF of 21 and 6.
  13. 13.Find the HCF of 33 and 55.
  14. 14.Find the LCM of 7, 14 and 8.
  15. 15.Find the HCF of 112 and 70.
  16. 16.Find the LCM of 12, 9 and 4.
  17. 17.Find the LCM of 6 and 4.
  18. 18.The HCF of two numbers is 5 and their LCM is 360. One of the numbers is 40. What is the other number?
  19. 19.Find the LCM of 18 and 12.
  20. 20.Find the LCM of 10, 12 and 9.
  21. 21.Find the HCF of 36 and 28.
  22. 22.Find the LCM of 4, 10 and 15.
  23. 23.Find the HCF of 9 and 21.
  24. 24.Find the LCM of 7, 15 and 6.
  25. 25.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 14. What is the other number?
  26. 26.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 40. What is the other number?
  27. 27.Find the LCM of 9, 4 and 8.
  28. 28.Find the LCM of 21 and 6.
  29. 29.Find the LCM of 10 and 6.
  30. 30.Find the LCM of 4 and 7.
  31. 31.Find the HCF of 8 and 18.
  32. 32.The HCF of two numbers is 8 and their LCM is 576. One of the numbers is 72. What is the other number?
  33. 33.The HCF of two numbers is 5 and their LCM is 100. One of the numbers is 20. What is the other number?
  34. 34.Find the LCM of 4, 6 and 9.
  35. 35.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 63. What is the other number?
  36. 36.Find the HCF of 36 and 8.
  37. 37.Find the LCM of 14 and 8.
  38. 38.The HCF of two numbers is 7 and their LCM is 245. One of the numbers is 49. What is the other number?
  39. 39.Find the HCF of 21 and 28.
  40. 40.Find the LCM of 8, 15 and 12.

Answer key

  1. 45
  2. 8
  3. 63
  4. 10
  5. 12
  6. 35
  7. 5
  8. 16
  9. 7
  10. 14
  11. 120
  12. 3
  13. 11
  14. 56
  15. 14
  16. 36
  17. 12
  18. 45
  19. 36
  20. 180
  21. 4
  22. 60
  23. 3
  24. 210
  25. 49
  26. 35
  27. 72
  28. 42
  29. 30
  30. 28
  31. 2
  32. 64
  33. 25
  34. 36
  35. 36
  36. 4
  37. 56
  38. 35
  39. 7
  40. 120

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