GCD of 711, 257, 57, 355 Calculator

Given Input numbers are 711, 257, 57, 355

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

Divisors of 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Greatest Common Divisior

We found the divisors of 711, 257, 57, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 711, 257, 57, 355 is 1.

Therefore, GCD of numbers 711, 257, 57, 355 is 1

Given Input Data is 711, 257, 57, 355

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

Prime Factorization of 711 is 3 x 3 x 79

Prime Factorization of 257 is 257

Prime Factorization of 57 is 3 x 19

Prime Factorization of 355 is 5 x 71

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(711, 257) = 182727

GCD(711, 257) = ( 711 x 257 ) / 182727

GCD(711, 257) = 182727 / 182727

GCD(711, 257) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 57

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

LCM(1, 57) = 57

GCD(1, 57) = ( 1 x 57 ) / 57

GCD(1, 57) = 57 / 57

GCD(1, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 355

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

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

GCD(1, 355) = 355 / 355

GCD(1, 355) = 1

GCD of 711, 257, 57, 355 is 1

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1. What is the GCD of 711, 257, 57, 355?

GCD of 711, 257, 57, 355 is 1

2. Where do I get the detailed procedure to find GCD of 711, 257, 57, 355?

You can find a detailed procedure to find GCD of 711, 257, 57, 355 on our page.

3. How to find GCD of 711, 257, 57, 355 on a calculator?

You can find the GCD of 711, 257, 57, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.