GCD of 123, 316, 557, 463 Calculator

Given Input numbers are 123, 316, 557, 463

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

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 557

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

1, 557

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

Greatest Common Divisior

We found the divisors of 123, 316, 557, 463 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 316, 557, 463 is 1.

Therefore, GCD of numbers 123, 316, 557, 463 is 1

Given Input Data is 123, 316, 557, 463

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

Prime Factorization of 123 is 3 x 41

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 557 is 557

Prime Factorization of 463 is 463

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(123, 316) = 38868

GCD(123, 316) = ( 123 x 316 ) / 38868

GCD(123, 316) = 38868 / 38868

GCD(123, 316) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 557

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

LCM(1, 557) = 557

GCD(1, 557) = ( 1 x 557 ) / 557

GCD(1, 557) = 557 / 557

GCD(1, 557) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 463

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

LCM(1, 463) = 463

GCD(1, 463) = ( 1 x 463 ) / 463

GCD(1, 463) = 463 / 463

GCD(1, 463) = 1

GCD of 123, 316, 557, 463 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 823, 663, 883, 211
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• GCD of 808, 851, 102, 201

1. What is the GCD of 123, 316, 557, 463?

GCD of 123, 316, 557, 463 is 1

2. Where do I get the detailed procedure to find GCD of 123, 316, 557, 463?

You can find a detailed procedure to find GCD of 123, 316, 557, 463 on our page.

3. How to find GCD of 123, 316, 557, 463 on a calculator?

You can find the GCD of 123, 316, 557, 463 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.