SOLUTION: find the greatest number which leaves a remainder 10 in each case when divided by 56, 84 and 140.

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Question 1122628: find the greatest number which leaves a remainder 10 in each case when divided by 56, 84 and 140.
Answer by ikleyn(52903) About Me  (Show Source):
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find the greatest number which leaves a remainder 10 in each case when divided by 56, 84 and 140.
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There are INFINITELY many natural (integer positive) numbers satisfying the given condition, 


so there is NO a greatest number among them.


Shortly, all natural numbers of the form  N = 56*84*140*n + 10 satisfy the given condition.


So, your question can not be answered, since there is NO the greatest numbers among them.


Happy learning and have a nice day !