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Greatest Common Divisor (GCD) of 196 and 196

The greatest common divisor (GCD) of 196 and 196 is 196.

What is the Greatest Common Divisor (GCD)?

The GCD of two integers is the largest positive integer that divides both numbers without leaving a remainder. It is useful in simplifying fractions, finding common factors, and in number theory.

How to Calculate the GCD of 196 and 196?

We use the Euclidean algorithm, which involves the following steps:

  1. Divide the larger number by the smaller number.
  2. Replace the larger number with the smaller number and the smaller number with the remainder from the division.
  3. Repeat this process until the remainder is zero.
  4. The non-zero remainder just before zero is the GCD.

Step-by-Step Euclidean Algorithm

StepCalculation
1 196 ÷ 196 = 1 remainder 0

Examples of GCD Calculations

NumbersGCD
85 and 1171
110 and 291
154 and 371
60 and 831
176 and 1911

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