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Greatest Common Divisor (GCD) of 94 and 139

The greatest common divisor (GCD) of 94 and 139 is 1.

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 94 and 139?

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 94 ÷ 139 = 0 remainder 94
2 139 ÷ 94 = 1 remainder 45
3 94 ÷ 45 = 2 remainder 4
4 45 ÷ 4 = 11 remainder 1
5 4 ÷ 1 = 4 remainder 0

Examples of GCD Calculations

NumbersGCD
149 and 1361
59 and 1591
36 and 1404
185 and 1011
94 and 1402

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