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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 851 · 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 4 and 18.
  2. 2.Find the HCF of 52 and 65.
  3. 3.Find the LCM of 14, 5 and 6.
  4. 4.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 32. What is the other number?
  5. 5.Find the LCM of 2 and 9.
  6. 6.Find the LCM of 3 and 8.
  7. 7.Find the LCM of 9, 4 and 8.
  8. 8.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 56. What is the other number?
  9. 9.Find the LCM of 13, 3 and 9.
  10. 10.Find the HCF of 18 and 8.
  11. 11.Find the LCM of 2, 15 and 6.
  12. 12.Find the LCM of 12, 9 and 5.
  13. 13.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 14. What is the other number?
  14. 14.Find the LCM of 6, 12 and 15.
  15. 15.Find the LCM of 24 and 28.
  16. 16.Find the LCM of 42 and 54.
  17. 17.Find the LCM of 25 and 35.
  18. 18.Find the LCM of 10 and 35.
  19. 19.Find the LCM of 6, 8 and 9.
  20. 20.Find the LCM of 7, 14 and 13.
  21. 21.Find the LCM of 10, 12 and 9.
  22. 22.Find the LCM of 2, 8 and 6.
  23. 23.Find the HCF of 36 and 8.
  24. 24.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 35. What is the other number?
  25. 25.Find the HCF of 72 and 16.
  26. 26.Find the LCM of 12 and 18.
  27. 27.Find the HCF of 28 and 126.
  28. 28.Find the HCF of 14 and 21.
  29. 29.Find the LCM of 48 and 42.
  30. 30.Find the LCM of 5, 7 and 4.
  31. 31.Find the LCM of 21 and 18.
  32. 32.Find the LCM of 45 and 40.
  33. 33.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 63. What is the other number?
  34. 34.Find the LCM of 54 and 12.
  35. 35.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 14. What is the other number?
  36. 36.Find the HCF of 24 and 15.
  37. 37.Find the LCM of 9, 8 and 4.
  38. 38.Find the HCF of 9 and 6.
  39. 39.Find the HCF of 28 and 21.
  40. 40.Find the LCM of 3 and 5.

Answer key

  1. 2
  2. 13
  3. 210
  4. 12
  5. 18
  6. 24
  7. 72
  8. 48
  9. 117
  10. 2
  11. 30
  12. 180
  13. 63
  14. 60
  15. 168
  16. 378
  17. 175
  18. 70
  19. 72
  20. 182
  21. 180
  22. 24
  23. 4
  24. 40
  25. 8
  26. 36
  27. 14
  28. 7
  29. 336
  30. 140
  31. 126
  32. 360
  33. 49
  34. 108
  35. 35
  36. 3
  37. 72
  38. 3
  39. 7
  40. 15

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