GCD of 257, 691, 897, 813 Calculator

Given Input numbers are 257, 691, 897, 813

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

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Divisors of 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Greatest Common Divisior

We found the divisors of 257, 691, 897, 813 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 257, 691, 897, 813 is 1.

Therefore, GCD of numbers 257, 691, 897, 813 is 1

Given Input Data is 257, 691, 897, 813

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

Prime Factorization of 257 is 257

Prime Factorization of 691 is 691

Prime Factorization of 897 is 3 x 13 x 23

Prime Factorization of 813 is 3 x 271

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(257, 691) = 177587

GCD(257, 691) = ( 257 x 691 ) / 177587

GCD(257, 691) = 177587 / 177587

GCD(257, 691) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 897

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

LCM(1, 897) = 897

GCD(1, 897) = ( 1 x 897 ) / 897

GCD(1, 897) = 897 / 897

GCD(1, 897) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 813

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

LCM(1, 813) = 813

GCD(1, 813) = ( 1 x 813 ) / 813

GCD(1, 813) = 813 / 813

GCD(1, 813) = 1

GCD of 257, 691, 897, 813 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 518, 618, 620, 897
• GCD of 441, 803, 157, 680
• GCD of 916, 282, 393, 539
• GCD of 370, 440, 364, 672
• GCD of 691, 342, 802, 445

1. What is the GCD of 257, 691, 897, 813?

GCD of 257, 691, 897, 813 is 1

2. Where do I get the detailed procedure to find GCD of 257, 691, 897, 813?

You can find a detailed procedure to find GCD of 257, 691, 897, 813 on our page.

3. How to find GCD of 257, 691, 897, 813 on a calculator?

You can find the GCD of 257, 691, 897, 813 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.