GCD of 561, 712, 338, 561 Calculator

Given Input numbers are 561, 712, 338, 561

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 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

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 561, 712, 338, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 712, 338, 561 is 1.

Therefore, GCD of numbers 561, 712, 338, 561 is 1

Given Input Data is 561, 712, 338, 561

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 712 is 2 x 2 x 2 x 89

Prime Factorization of 338 is 2 x 13 x 13

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(561, 712) = 399432

GCD(561, 712) = ( 561 x 712 ) / 399432

GCD(561, 712) = 399432 / 399432

GCD(561, 712) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

Step3:

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 561, 712, 338, 561 is 1

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1. What is the GCD of 561, 712, 338, 561?

GCD of 561, 712, 338, 561 is 1

2. Where do I get the detailed procedure to find GCD of 561, 712, 338, 561?

You can find a detailed procedure to find GCD of 561, 712, 338, 561 on our page.

3. How to find GCD of 561, 712, 338, 561 on a calculator?

You can find the GCD of 561, 712, 338, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.