GCD of 208, 113, 251, 774 Calculator

Given Input numbers are 208, 113, 251, 774

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

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Greatest Common Divisior

We found the divisors of 208, 113, 251, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 113, 251, 774 is 1.

Therefore, GCD of numbers 208, 113, 251, 774 is 1

Given Input Data is 208, 113, 251, 774

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

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 113 is 113

Prime Factorization of 251 is 251

Prime Factorization of 774 is 2 x 3 x 3 x 43

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(208, 113) = 23504

GCD(208, 113) = ( 208 x 113 ) / 23504

GCD(208, 113) = 23504 / 23504

GCD(208, 113) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 251

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

LCM(1, 251) = 251

GCD(1, 251) = ( 1 x 251 ) / 251

GCD(1, 251) = 251 / 251

GCD(1, 251) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 774

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

LCM(1, 774) = 774

GCD(1, 774) = ( 1 x 774 ) / 774

GCD(1, 774) = 774 / 774

GCD(1, 774) = 1

GCD of 208, 113, 251, 774 is 1

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1. What is the GCD of 208, 113, 251, 774?

GCD of 208, 113, 251, 774 is 1

2. Where do I get the detailed procedure to find GCD of 208, 113, 251, 774?

You can find a detailed procedure to find GCD of 208, 113, 251, 774 on our page.

3. How to find GCD of 208, 113, 251, 774 on a calculator?

You can find the GCD of 208, 113, 251, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.