GCD of 260, 923, 567 Calculator

Given Input numbers are 260, 923, 567

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

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

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

Greatest Common Divisior

We found the divisors of 260, 923, 567 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 923, 567 is 1.

Therefore, GCD of numbers 260, 923, 567 is 1

Given Input Data is 260, 923, 567

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

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 923 is 13 x 71

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

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(260, 923) = 18460

GCD(260, 923) = ( 260 x 923 ) / 18460

GCD(260, 923) = 239980 / 18460

GCD(260, 923) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 567

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

LCM(13, 567) = 7371

GCD(13, 567) = ( 13 x 567 ) / 7371

GCD(13, 567) = 7371 / 7371

GCD(13, 567) = 1

GCD of 260, 923, 567 is 1

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1. What is the GCD of 260, 923, 567?

GCD of 260, 923, 567 is 1

2. Where do I get the detailed procedure to find GCD of 260, 923, 567?

You can find a detailed procedure to find GCD of 260, 923, 567 on our page.

3. How to find GCD of 260, 923, 567 on a calculator?

You can find the GCD of 260, 923, 567 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.