GCD of 234, 772, 558, 637 Calculator

Given Input numbers are 234, 772, 558, 637

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

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

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 234, 772, 558, 637 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 234, 772, 558, 637 is 1.

Therefore, GCD of numbers 234, 772, 558, 637 is 1

Given Input Data is 234, 772, 558, 637

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

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 558 is 2 x 3 x 3 x 31

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(234, 772) = 90324

GCD(234, 772) = ( 234 x 772 ) / 90324

GCD(234, 772) = 180648 / 90324

GCD(234, 772) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 558

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

LCM(2, 558) = 558

GCD(2, 558) = ( 2 x 558 ) / 558

GCD(2, 558) = 1116 / 558

GCD(2, 558) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 637

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

LCM(2, 637) = 1274

GCD(2, 637) = ( 2 x 637 ) / 1274

GCD(2, 637) = 1274 / 1274

GCD(2, 637) = 1

GCD of 234, 772, 558, 637 is 1

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1. What is the GCD of 234, 772, 558, 637?

GCD of 234, 772, 558, 637 is 1

2. Where do I get the detailed procedure to find GCD of 234, 772, 558, 637?

You can find a detailed procedure to find GCD of 234, 772, 558, 637 on our page.

3. How to find GCD of 234, 772, 558, 637 on a calculator?

You can find the GCD of 234, 772, 558, 637 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.