GCD of 561, 232, 567 Calculator

Given Input numbers are 561, 232, 567

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

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

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 561, 232, 567 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 232, 567 is 1.

Therefore, GCD of numbers 561, 232, 567 is 1

Given Input Data is 561, 232, 567

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

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 232 is 2 x 2 x 2 x 29

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(561, 232) = 130152

GCD(561, 232) = ( 561 x 232 ) / 130152

GCD(561, 232) = 130152 / 130152

GCD(561, 232) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 567

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

LCM(1, 567) = 567

GCD(1, 567) = ( 1 x 567 ) / 567

GCD(1, 567) = 567 / 567

GCD(1, 567) = 1

GCD of 561, 232, 567 is 1

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1. What is the GCD of 561, 232, 567?

GCD of 561, 232, 567 is 1

2. Where do I get the detailed procedure to find GCD of 561, 232, 567?

You can find a detailed procedure to find GCD of 561, 232, 567 on our page.

3. How to find GCD of 561, 232, 567 on a calculator?

You can find the GCD of 561, 232, 567 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.