GCD of 313, 557, 852, 634 Calculator

Given Input numbers are 313, 557, 852, 634

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

Divisors of 313

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

1, 313

Divisors of 557

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

1, 557

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Greatest Common Divisior

We found the divisors of 313, 557, 852, 634 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 557, 852, 634 is 1.

Therefore, GCD of numbers 313, 557, 852, 634 is 1

Given Input Data is 313, 557, 852, 634

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

Prime Factorization of 313 is 313

Prime Factorization of 557 is 557

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 634 is 2 x 317

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(313, 557) = 174341

GCD(313, 557) = ( 313 x 557 ) / 174341

GCD(313, 557) = 174341 / 174341

GCD(313, 557) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 852

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

LCM(1, 852) = 852

GCD(1, 852) = ( 1 x 852 ) / 852

GCD(1, 852) = 852 / 852

GCD(1, 852) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 634

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

LCM(1, 634) = 634

GCD(1, 634) = ( 1 x 634 ) / 634

GCD(1, 634) = 634 / 634

GCD(1, 634) = 1

GCD of 313, 557, 852, 634 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 422, 929, 160, 410
• GCD of 321, 190, 158, 853
• GCD of 355, 686, 994, 927
• GCD of 581, 180, 941, 365
• GCD of 933, 407, 994, 360

1. What is the GCD of 313, 557, 852, 634?

GCD of 313, 557, 852, 634 is 1

2. Where do I get the detailed procedure to find GCD of 313, 557, 852, 634?

You can find a detailed procedure to find GCD of 313, 557, 852, 634 on our page.

3. How to find GCD of 313, 557, 852, 634 on a calculator?

You can find the GCD of 313, 557, 852, 634 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.