GCD of 565, 309, 56, 309 Calculator

Given Input numbers are 565, 309, 56, 309

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

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 565, 309, 56, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 565, 309, 56, 309 is 1.

Therefore, GCD of numbers 565, 309, 56, 309 is 1

Given Input Data is 565, 309, 56, 309

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

Prime Factorization of 565 is 5 x 113

Prime Factorization of 309 is 3 x 103

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 309 is 3 x 103

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(565, 309) = 174585

GCD(565, 309) = ( 565 x 309 ) / 174585

GCD(565, 309) = 174585 / 174585

GCD(565, 309) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 56

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

LCM(1, 56) = 56

GCD(1, 56) = ( 1 x 56 ) / 56

GCD(1, 56) = 56 / 56

GCD(1, 56) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 309

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

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

GCD(1, 309) = 309 / 309

GCD(1, 309) = 1

GCD of 565, 309, 56, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 590, 668, 72, 824
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• GCD of 665, 339, 42, 991
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• GCD of 653, 404, 58, 363

1. What is the GCD of 565, 309, 56, 309?

GCD of 565, 309, 56, 309 is 1

2. Where do I get the detailed procedure to find GCD of 565, 309, 56, 309?

You can find a detailed procedure to find GCD of 565, 309, 56, 309 on our page.

3. How to find GCD of 565, 309, 56, 309 on a calculator?

You can find the GCD of 565, 309, 56, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.