GCD of 557, 175, 313, 774 Calculator

Given Input numbers are 557, 175, 313, 774

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 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

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 557, 175, 313, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 557, 175, 313, 774 is 1.

Therefore, GCD of numbers 557, 175, 313, 774 is 1

Given Input Data is 557, 175, 313, 774

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

Prime Factorization of 557 is 557

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 313 is 313

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(557, 175) = 97475

GCD(557, 175) = ( 557 x 175 ) / 97475

GCD(557, 175) = 97475 / 97475

GCD(557, 175) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 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 557, 175, 313, 774 is 1

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1. What is the GCD of 557, 175, 313, 774?

GCD of 557, 175, 313, 774 is 1

2. Where do I get the detailed procedure to find GCD of 557, 175, 313, 774?

You can find a detailed procedure to find GCD of 557, 175, 313, 774 on our page.

3. How to find GCD of 557, 175, 313, 774 on a calculator?

You can find the GCD of 557, 175, 313, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.