GCD of 331, 208, 561, 320 Calculator

Given Input numbers are 331, 208, 561, 320

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

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

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 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Greatest Common Divisior

We found the divisors of 331, 208, 561, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 331, 208, 561, 320 is 1.

Therefore, GCD of numbers 331, 208, 561, 320 is 1

Given Input Data is 331, 208, 561, 320

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

Prime Factorization of 331 is 331

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

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(331, 208) = 68848

GCD(331, 208) = ( 331 x 208 ) / 68848

GCD(331, 208) = 68848 / 68848

GCD(331, 208) = 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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 320

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

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

GCD(1, 320) = 320 / 320

GCD(1, 320) = 1

GCD of 331, 208, 561, 320 is 1

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1. What is the GCD of 331, 208, 561, 320?

GCD of 331, 208, 561, 320 is 1

2. Where do I get the detailed procedure to find GCD of 331, 208, 561, 320?

You can find a detailed procedure to find GCD of 331, 208, 561, 320 on our page.

3. How to find GCD of 331, 208, 561, 320 on a calculator?

You can find the GCD of 331, 208, 561, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.