GCD of 321, 688, 561 Calculator

Given Input numbers are 321, 688, 561

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

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 561

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

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

Greatest Common Divisior

We found the divisors of 321, 688, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 688, 561 is 1.

Therefore, GCD of numbers 321, 688, 561 is 1

Given Input Data is 321, 688, 561

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 561 is 3 x 11 x 17

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(321, 688) = 220848

GCD(321, 688) = ( 321 x 688 ) / 220848

GCD(321, 688) = 220848 / 220848

GCD(321, 688) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 561

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

LCM(1, 561) = 561

GCD(1, 561) = ( 1 x 561 ) / 561

GCD(1, 561) = 561 / 561

GCD(1, 561) = 1

GCD of 321, 688, 561 is 1

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• GCD of 455, 748, 257
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1. What is the GCD of 321, 688, 561?

GCD of 321, 688, 561 is 1

2. Where do I get the detailed procedure to find GCD of 321, 688, 561?

You can find a detailed procedure to find GCD of 321, 688, 561 on our page.

3. How to find GCD of 321, 688, 561 on a calculator?

You can find the GCD of 321, 688, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.