GCD of 231, 569, 784 Calculator

Given Input numbers are 231, 569, 784

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 569

List of positive integer divisors of 569 that divides 569 without a remainder.

1, 569

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Greatest Common Divisior

We found the divisors of 231, 569, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 569, 784 is 1.

Therefore, GCD of numbers 231, 569, 784 is 1

Given Input Data is 231, 569, 784

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 569 is 569

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(231, 569) = 131439

GCD(231, 569) = ( 231 x 569 ) / 131439

GCD(231, 569) = 131439 / 131439

GCD(231, 569) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 784

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

GCD(1, 784) = 784 / 784

GCD(1, 784) = 1

GCD of 231, 569, 784 is 1

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1. What is the GCD of 231, 569, 784?

GCD of 231, 569, 784 is 1

2. Where do I get the detailed procedure to find GCD of 231, 569, 784?

You can find a detailed procedure to find GCD of 231, 569, 784 on our page.

3. How to find GCD of 231, 569, 784 on a calculator?

You can find the GCD of 231, 569, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.