GCD of 678, 389, 563, 209 Calculator

Given Input numbers are 678, 389, 563, 209

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

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Greatest Common Divisior

We found the divisors of 678, 389, 563, 209 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 389, 563, 209 is 1.

Therefore, GCD of numbers 678, 389, 563, 209 is 1

Given Input Data is 678, 389, 563, 209

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

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 389 is 389

Prime Factorization of 563 is 563

Prime Factorization of 209 is 11 x 19

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(678, 389) = 263742

GCD(678, 389) = ( 678 x 389 ) / 263742

GCD(678, 389) = 263742 / 263742

GCD(678, 389) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 563

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

LCM(1, 563) = 563

GCD(1, 563) = ( 1 x 563 ) / 563

GCD(1, 563) = 563 / 563

GCD(1, 563) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 209

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

LCM(1, 209) = 209

GCD(1, 209) = ( 1 x 209 ) / 209

GCD(1, 209) = 209 / 209

GCD(1, 209) = 1

GCD of 678, 389, 563, 209 is 1

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1. What is the GCD of 678, 389, 563, 209?

GCD of 678, 389, 563, 209 is 1

2. Where do I get the detailed procedure to find GCD of 678, 389, 563, 209?

You can find a detailed procedure to find GCD of 678, 389, 563, 209 on our page.

3. How to find GCD of 678, 389, 563, 209 on a calculator?

You can find the GCD of 678, 389, 563, 209 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.