GCD of 257, 104, 20, 926 Calculator

Given Input numbers are 257, 104, 20, 926

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 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 926

List of positive integer divisors of 926 that divides 926 without a remainder.

1, 2, 463, 926

Greatest Common Divisior

We found the divisors of 257, 104, 20, 926 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 257, 104, 20, 926 is 1.

Therefore, GCD of numbers 257, 104, 20, 926 is 1

Given Input Data is 257, 104, 20, 926

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

Prime Factorization of 257 is 257

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 926 is 2 x 463

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, 104) = 26728

GCD(257, 104) = ( 257 x 104 ) / 26728

GCD(257, 104) = 26728 / 26728

GCD(257, 104) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 926

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

LCM(1, 926) = 926

GCD(1, 926) = ( 1 x 926 ) / 926

GCD(1, 926) = 926 / 926

GCD(1, 926) = 1

GCD of 257, 104, 20, 926 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 348, 793, 81, 641
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• GCD of 310, 204, 57, 381

1. What is the GCD of 257, 104, 20, 926?

GCD of 257, 104, 20, 926 is 1

2. Where do I get the detailed procedure to find GCD of 257, 104, 20, 926?

You can find a detailed procedure to find GCD of 257, 104, 20, 926 on our page.

3. How to find GCD of 257, 104, 20, 926 on a calculator?

You can find the GCD of 257, 104, 20, 926 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.