GCD of 257, 557, 774, 484 Calculator

Given Input numbers are 257, 557, 774, 484

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 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

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

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Greatest Common Divisior

We found the divisors of 257, 557, 774, 484 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 257, 557, 774, 484 is 1.

Therefore, GCD of numbers 257, 557, 774, 484 is 1

Given Input Data is 257, 557, 774, 484

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

Prime Factorization of 257 is 257

Prime Factorization of 557 is 557

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

Prime Factorization of 484 is 2 x 2 x 11 x 11

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, 557) = 143149

GCD(257, 557) = ( 257 x 557 ) / 143149

GCD(257, 557) = 143149 / 143149

GCD(257, 557) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 484

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

LCM(1, 484) = 484

GCD(1, 484) = ( 1 x 484 ) / 484

GCD(1, 484) = 484 / 484

GCD(1, 484) = 1

GCD of 257, 557, 774, 484 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 180, 265, 634, 208
• GCD of 365, 180, 826, 804
• GCD of 211, 143, 114, 461
• GCD of 566, 987, 932, 722
• GCD of 557, 259, 600, 477

1. What is the GCD of 257, 557, 774, 484?

GCD of 257, 557, 774, 484 is 1

2. Where do I get the detailed procedure to find GCD of 257, 557, 774, 484?

You can find a detailed procedure to find GCD of 257, 557, 774, 484 on our page.

3. How to find GCD of 257, 557, 774, 484 on a calculator?

You can find the GCD of 257, 557, 774, 484 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.