GCD of 570, 434, 230, 313 Calculator

Given Input numbers are 570, 434, 230, 313

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

Divisors of 570

List of positive integer divisors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Greatest Common Divisior

We found the divisors of 570, 434, 230, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 570, 434, 230, 313 is 1.

Therefore, GCD of numbers 570, 434, 230, 313 is 1

Given Input Data is 570, 434, 230, 313

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

Prime Factorization of 570 is 2 x 3 x 5 x 19

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 313 is 313

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(570, 434) = 123690

GCD(570, 434) = ( 570 x 434 ) / 123690

GCD(570, 434) = 247380 / 123690

GCD(570, 434) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 230

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

LCM(2, 230) = 230

GCD(2, 230) = ( 2 x 230 ) / 230

GCD(2, 230) = 460 / 230

GCD(2, 230) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 313

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

LCM(2, 313) = 626

GCD(2, 313) = ( 2 x 313 ) / 626

GCD(2, 313) = 626 / 626

GCD(2, 313) = 1

GCD of 570, 434, 230, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 570, 150, 256, 176
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• GCD of 796, 994, 334, 240
• GCD of 166, 312, 813, 125

1. What is the GCD of 570, 434, 230, 313?

GCD of 570, 434, 230, 313 is 1

2. Where do I get the detailed procedure to find GCD of 570, 434, 230, 313?

You can find a detailed procedure to find GCD of 570, 434, 230, 313 on our page.

3. How to find GCD of 570, 434, 230, 313 on a calculator?

You can find the GCD of 570, 434, 230, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.