Calculadora del máximo común divisor/factor (MCD)

Encuentra el máximo común divisor paso a paso

La calculadora encontrará el máximo común divisor/divisor (MCD) de los números positivos dados, con los pasos que se muestran, utilizando el método de factorización o el método de factorización prima.

Enter numbers (comma-separated) or

Your input:

Positive numbers separated by commas, for example, `12,24,32,40,28`.

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Solution

Your input: find the GCD of $$$30, 60, 45, 105, 25$$$ using factoring.

The GCD of numbers is the largest number that divides all given numbers.

Find the factors/divisors of each number.

  • The factors of $$$\color{Green}{30}$$$: $$$1, 2, 3, \color{Red}{5}, 6, 10, 15, 30$$$
  • The factors of $$$\color{Green}{60}$$$: $$$1, 2, 3, 4, \color{Red}{5}, 6, 10, 12, 15, 20, 30, 60$$$
  • The factors of $$$\color{Green}{45}$$$: $$$1, 3, \color{Red}{5}, 9, 15, 45$$$
  • The factors of $$$\color{Green}{105}$$$: $$$1, 3, \color{Red}{5}, 7, 15, 21, 35, 105$$$
  • The factors of $$$\color{Green}{25}$$$: $$$1, \color{Red}{5}, 25$$$

The greatest common (all numbers share it) factor/divisor is highlighted.

Thus, $$$GCD\left(30, 60, 45, 105, 25\right)=5$$$.

Answer: $$$GCD\left(30, 60, 45, 105, 25\right)=5$$$.