GCD of 518, 188, 459, 637 Calculator

Given Input numbers are 518, 188, 459, 637

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

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

Greatest Common Divisior

We found the divisors of 518, 188, 459, 637 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 518, 188, 459, 637 is 1.

Therefore, GCD of numbers 518, 188, 459, 637 is 1

Given Input Data is 518, 188, 459, 637

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

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 188 is 2 x 2 x 47

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 637 is 7 x 7 x 13

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(518, 188) = 48692

GCD(518, 188) = ( 518 x 188 ) / 48692

GCD(518, 188) = 97384 / 48692

GCD(518, 188) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 459

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

LCM(2, 459) = 918

GCD(2, 459) = ( 2 x 459 ) / 918

GCD(2, 459) = 918 / 918

GCD(2, 459) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 637

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

LCM(1, 637) = 637

GCD(1, 637) = ( 1 x 637 ) / 637

GCD(1, 637) = 637 / 637

GCD(1, 637) = 1

GCD of 518, 188, 459, 637 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 643, 991, 562, 883
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• GCD of 456, 601, 675, 540

1. What is the GCD of 518, 188, 459, 637?

GCD of 518, 188, 459, 637 is 1

2. Where do I get the detailed procedure to find GCD of 518, 188, 459, 637?

You can find a detailed procedure to find GCD of 518, 188, 459, 637 on our page.

3. How to find GCD of 518, 188, 459, 637 on a calculator?

You can find the GCD of 518, 188, 459, 637 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.