Identify GCD: Identify the greatest common divisor (GCD) of the numerator and the denominator.To simplify the fraction 623442618476, we need to find the GCD of 618476 and 623442. We can use the Euclidean algorithm to find the GCD.
Apply Euclidean algorithm: Apply the Euclidean algorithm to find the GCD.We subtract the smaller number from the larger number and continue this process until we get a remainder of 0. The last non-zero remainder is the GCD.618476−623442=−4966 (We take the absolute value since we're looking for the GCD)623442%618476=4966618476%4966=26044966%2604=23622604%2362=2422362%242=0The GCD is 242.
Divide by GCD: Divide both the numerator and the denominator by the GCD. 242618476=2556242623442=2577
Write simplified fraction: Write down the simplified fraction.The simplified form of the fraction 618476/623442 is 2556/2577.
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