GCD of 523, 131, 638, 955 Calculator

Given Input numbers are 523, 131, 638, 955

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

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 955

List of positive integer divisors of 955 that divides 955 without a remainder.

1, 5, 191, 955

Greatest Common Divisior

We found the divisors of 523, 131, 638, 955 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 523, 131, 638, 955 is 1.

Therefore, GCD of numbers 523, 131, 638, 955 is 1

Given Input Data is 523, 131, 638, 955

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

Prime Factorization of 523 is 523

Prime Factorization of 131 is 131

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 955 is 5 x 191

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(523, 131) = 68513

GCD(523, 131) = ( 523 x 131 ) / 68513

GCD(523, 131) = 68513 / 68513

GCD(523, 131) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 638

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

LCM(1, 638) = 638

GCD(1, 638) = ( 1 x 638 ) / 638

GCD(1, 638) = 638 / 638

GCD(1, 638) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 955

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

LCM(1, 955) = 955

GCD(1, 955) = ( 1 x 955 ) / 955

GCD(1, 955) = 955 / 955

GCD(1, 955) = 1

GCD of 523, 131, 638, 955 is 1

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1. What is the GCD of 523, 131, 638, 955?

GCD of 523, 131, 638, 955 is 1

2. Where do I get the detailed procedure to find GCD of 523, 131, 638, 955?

You can find a detailed procedure to find GCD of 523, 131, 638, 955 on our page.

3. How to find GCD of 523, 131, 638, 955 on a calculator?

You can find the GCD of 523, 131, 638, 955 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.