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The common denominator of 4 and 25 is the number 100. To find the common denominator of two numbers, you must first find the least common multiple (LCM) of the two numbers. The LCM of 4 and 25 is 100, which is the smallest number that both 4 and 25 are divisible by. Therefore, 100 is the common denominator of 4 and 25.