GCD of 257, 472, 208, 344 Calculator

Given Input numbers are 257, 472, 208, 344

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 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

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 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Greatest Common Divisior

We found the divisors of 257, 472, 208, 344 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 257, 472, 208, 344 is 1.

Therefore, GCD of numbers 257, 472, 208, 344 is 1

Given Input Data is 257, 472, 208, 344

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

Prime Factorization of 257 is 257

Prime Factorization of 472 is 2 x 2 x 2 x 59

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

Prime Factorization of 344 is 2 x 2 x 2 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(257, 472) = 121304

GCD(257, 472) = ( 257 x 472 ) / 121304

GCD(257, 472) = 121304 / 121304

GCD(257, 472) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 208

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

LCM(1, 208) = 208

GCD(1, 208) = ( 1 x 208 ) / 208

GCD(1, 208) = 208 / 208

GCD(1, 208) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 344

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

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

GCD(1, 344) = 344 / 344

GCD(1, 344) = 1

GCD of 257, 472, 208, 344 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 590, 897, 961, 516
• GCD of 290, 354, 119, 290
• GCD of 504, 673, 166, 418
• GCD of 985, 863, 242, 981
• GCD of 869, 742, 685, 929

1. What is the GCD of 257, 472, 208, 344?

GCD of 257, 472, 208, 344 is 1

2. Where do I get the detailed procedure to find GCD of 257, 472, 208, 344?

You can find a detailed procedure to find GCD of 257, 472, 208, 344 on our page.

3. How to find GCD of 257, 472, 208, 344 on a calculator?

You can find the GCD of 257, 472, 208, 344 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.