GCD of 557, 311, 704, 521 Calculator

Given Input numbers are 557, 311, 704, 521

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

Divisors of 557

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

1, 557

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Greatest Common Divisior

We found the divisors of 557, 311, 704, 521 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 557, 311, 704, 521 is 1.

Therefore, GCD of numbers 557, 311, 704, 521 is 1

Given Input Data is 557, 311, 704, 521

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

Prime Factorization of 557 is 557

Prime Factorization of 311 is 311

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 521 is 521

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(557, 311) = 173227

GCD(557, 311) = ( 557 x 311 ) / 173227

GCD(557, 311) = 173227 / 173227

GCD(557, 311) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 704

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

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

GCD(1, 704) = 704 / 704

GCD(1, 704) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 521

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

LCM(1, 521) = 521

GCD(1, 521) = ( 1 x 521 ) / 521

GCD(1, 521) = 521 / 521

GCD(1, 521) = 1

GCD of 557, 311, 704, 521 is 1

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1. What is the GCD of 557, 311, 704, 521?

GCD of 557, 311, 704, 521 is 1

2. Where do I get the detailed procedure to find GCD of 557, 311, 704, 521?

You can find a detailed procedure to find GCD of 557, 311, 704, 521 on our page.

3. How to find GCD of 557, 311, 704, 521 on a calculator?

You can find the GCD of 557, 311, 704, 521 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.