GCD of 709, 916, 115, 572 Calculator

Given Input numbers are 709, 916, 115, 572

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

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Greatest Common Divisior

We found the divisors of 709, 916, 115, 572 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 709, 916, 115, 572 is 1.

Therefore, GCD of numbers 709, 916, 115, 572 is 1

Given Input Data is 709, 916, 115, 572

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

Prime Factorization of 709 is 709

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 115 is 5 x 23

Prime Factorization of 572 is 2 x 2 x 11 x 13

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(709, 916) = 649444

GCD(709, 916) = ( 709 x 916 ) / 649444

GCD(709, 916) = 649444 / 649444

GCD(709, 916) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 115

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

LCM(1, 115) = 115

GCD(1, 115) = ( 1 x 115 ) / 115

GCD(1, 115) = 115 / 115

GCD(1, 115) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 572

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

LCM(1, 572) = 572

GCD(1, 572) = ( 1 x 572 ) / 572

GCD(1, 572) = 572 / 572

GCD(1, 572) = 1

GCD of 709, 916, 115, 572 is 1

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1. What is the GCD of 709, 916, 115, 572?

GCD of 709, 916, 115, 572 is 1

2. Where do I get the detailed procedure to find GCD of 709, 916, 115, 572?

You can find a detailed procedure to find GCD of 709, 916, 115, 572 on our page.

3. How to find GCD of 709, 916, 115, 572 on a calculator?

You can find the GCD of 709, 916, 115, 572 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.