GCD of 523, 257, 38, 779 Calculator

Given Input numbers are 523, 257, 38, 779

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 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Greatest Common Divisior

We found the divisors of 523, 257, 38, 779 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 523, 257, 38, 779 is 1.

Therefore, GCD of numbers 523, 257, 38, 779 is 1

Given Input Data is 523, 257, 38, 779

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

Prime Factorization of 523 is 523

Prime Factorization of 257 is 257

Prime Factorization of 38 is 2 x 19

Prime Factorization of 779 is 19 x 41

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, 257) = 134411

GCD(523, 257) = ( 523 x 257 ) / 134411

GCD(523, 257) = 134411 / 134411

GCD(523, 257) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 779

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

LCM(1, 779) = 779

GCD(1, 779) = ( 1 x 779 ) / 779

GCD(1, 779) = 779 / 779

GCD(1, 779) = 1

GCD of 523, 257, 38, 779 is 1

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1. What is the GCD of 523, 257, 38, 779?

GCD of 523, 257, 38, 779 is 1

2. Where do I get the detailed procedure to find GCD of 523, 257, 38, 779?

You can find a detailed procedure to find GCD of 523, 257, 38, 779 on our page.

3. How to find GCD of 523, 257, 38, 779 on a calculator?

You can find the GCD of 523, 257, 38, 779 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.