GCD of 254, 183, 13, 826 Calculator

Given Input numbers are 254, 183, 13, 826

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

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 183

List of positive integer divisors of 183 that divides 183 without a remainder.

1, 3, 61, 183

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Greatest Common Divisior

We found the divisors of 254, 183, 13, 826 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 254, 183, 13, 826 is 1.

Therefore, GCD of numbers 254, 183, 13, 826 is 1

Given Input Data is 254, 183, 13, 826

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

Prime Factorization of 254 is 2 x 127

Prime Factorization of 183 is 3 x 61

Prime Factorization of 13 is 13

Prime Factorization of 826 is 2 x 7 x 59

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(254, 183) = 46482

GCD(254, 183) = ( 254 x 183 ) / 46482

GCD(254, 183) = 46482 / 46482

GCD(254, 183) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 826

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

LCM(1, 826) = 826

GCD(1, 826) = ( 1 x 826 ) / 826

GCD(1, 826) = 826 / 826

GCD(1, 826) = 1

GCD of 254, 183, 13, 826 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 830, 410, 47, 775
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• GCD of 609, 835, 11, 377

1. What is the GCD of 254, 183, 13, 826?

GCD of 254, 183, 13, 826 is 1

2. Where do I get the detailed procedure to find GCD of 254, 183, 13, 826?

You can find a detailed procedure to find GCD of 254, 183, 13, 826 on our page.

3. How to find GCD of 254, 183, 13, 826 on a calculator?

You can find the GCD of 254, 183, 13, 826 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.