[PDF] chinese remainder theorem example step by step

The Chinese Remainder Theorem gives us a tool to consider multiple such congruences simultaneously. First, let's just ensure that we understand how to solve ax  Autres questions
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  • What is the Chinese remainder theorem with an example?

    For example, if we know that the remainder of n divided by 3 is 2, the remainder of n divided by 5 is 3, and the remainder of n divided by 7 is 2, then without knowing the value of n, we can determine that the remainder of n divided by 105 (the product of 3, 5, and 7) is 23.

  • How to solve 233 mod 105?

    x = 233.
    On further simplification we get, 23 ? 2(mod 3); 23 ? 3(mod 5); 23 ? 2(mod 7) ? 233 ? 23(mod 105) and 23 is the smallest solution.

  • How to solve 233 mod 105?

    According to the Chinese Remainder Theorem in Mathematics, if one is aware of the remainders of the Euclidean division of an integer n by several integers, they can then be used to determine the unique remainder of n's division by the product of these other integers, provided that the n and the divisors are pairwise

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