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Find the largest number which divides 2271 ,3079 and 3355 leaving reminders 10 ,20 and 30 respectively?
Most Upvoted Answer
Find the largest number which divides 2271 ,3079 and 3355 leaving remi...



Explanation:


Factors of the Numbers:
  • 2271 = 3 x 757
  • 3079 = 19 x 13 x 19
  • 3355 = 5 x 7 x 11 x 11




Finding the Largest Common Factor:
  • Common factors of 2271, 3079, and 3355 = 1
  • Factors of (2271-10), (3079-20), and (3355-30) = 3, 19, and 5
  • Greatest common factor of 3, 19, and 5 = 1




Conclusion:
The largest number which divides 2271, 3079, and 3355 leaving reminders 10, 20, and 30 respectively is 1. There is no other common factor that can divide all three numbers with the given reminders.

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Find the largest number which divides 2271 ,3079 and 3355 leaving reminders 10 ,20 and 30 respectively?
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