GCD of 566, 909, 784, 614 Calculator

Given Input numbers are 566, 909, 784, 614

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

Divisors of 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

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

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Greatest Common Divisior

We found the divisors of 566, 909, 784, 614 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 566, 909, 784, 614 is 1.

Therefore, GCD of numbers 566, 909, 784, 614 is 1

Given Input Data is 566, 909, 784, 614

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

Prime Factorization of 566 is 2 x 283

Prime Factorization of 909 is 3 x 3 x 101

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

Prime Factorization of 614 is 2 x 307

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(566, 909) = 514494

GCD(566, 909) = ( 566 x 909 ) / 514494

GCD(566, 909) = 514494 / 514494

GCD(566, 909) = 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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 614

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

LCM(1, 614) = 614

GCD(1, 614) = ( 1 x 614 ) / 614

GCD(1, 614) = 614 / 614

GCD(1, 614) = 1

GCD of 566, 909, 784, 614 is 1

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1. What is the GCD of 566, 909, 784, 614?

GCD of 566, 909, 784, 614 is 1

2. Where do I get the detailed procedure to find GCD of 566, 909, 784, 614?

You can find a detailed procedure to find GCD of 566, 909, 784, 614 on our page.

3. How to find GCD of 566, 909, 784, 614 on a calculator?

You can find the GCD of 566, 909, 784, 614 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.