GCD of 567, 508, 727, 791 Calculator

Given Input numbers are 567, 508, 727, 791

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

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Greatest Common Divisior

We found the divisors of 567, 508, 727, 791 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 567, 508, 727, 791 is 1.

Therefore, GCD of numbers 567, 508, 727, 791 is 1

Given Input Data is 567, 508, 727, 791

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

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 727 is 727

Prime Factorization of 791 is 7 x 113

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(567, 508) = 288036

GCD(567, 508) = ( 567 x 508 ) / 288036

GCD(567, 508) = 288036 / 288036

GCD(567, 508) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 727

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

LCM(1, 727) = 727

GCD(1, 727) = ( 1 x 727 ) / 727

GCD(1, 727) = 727 / 727

GCD(1, 727) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 791

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

LCM(1, 791) = 791

GCD(1, 791) = ( 1 x 791 ) / 791

GCD(1, 791) = 791 / 791

GCD(1, 791) = 1

GCD of 567, 508, 727, 791 is 1

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1. What is the GCD of 567, 508, 727, 791?

GCD of 567, 508, 727, 791 is 1

2. Where do I get the detailed procedure to find GCD of 567, 508, 727, 791?

You can find a detailed procedure to find GCD of 567, 508, 727, 791 on our page.

3. How to find GCD of 567, 508, 727, 791 on a calculator?

You can find the GCD of 567, 508, 727, 791 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.