GCD of 209, 338, 366, 859 Calculator

Given Input numbers are 209, 338, 366, 859

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

Divisors of 209

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

1, 11, 19, 209

Divisors of 338

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

1, 2, 13, 26, 169, 338

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 859

List of positive integer divisors of 859 that divides 859 without a remainder.

1, 859

Greatest Common Divisior

We found the divisors of 209, 338, 366, 859 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 338, 366, 859 is 1.

Therefore, GCD of numbers 209, 338, 366, 859 is 1

Given Input Data is 209, 338, 366, 859

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

Prime Factorization of 209 is 11 x 19

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 859 is 859

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(209, 338) = 70642

GCD(209, 338) = ( 209 x 338 ) / 70642

GCD(209, 338) = 70642 / 70642

GCD(209, 338) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 366

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

LCM(1, 366) = 366

GCD(1, 366) = ( 1 x 366 ) / 366

GCD(1, 366) = 366 / 366

GCD(1, 366) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 859

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

LCM(1, 859) = 859

GCD(1, 859) = ( 1 x 859 ) / 859

GCD(1, 859) = 859 / 859

GCD(1, 859) = 1

GCD of 209, 338, 366, 859 is 1

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1. What is the GCD of 209, 338, 366, 859?

GCD of 209, 338, 366, 859 is 1

2. Where do I get the detailed procedure to find GCD of 209, 338, 366, 859?

You can find a detailed procedure to find GCD of 209, 338, 366, 859 on our page.

3. How to find GCD of 209, 338, 366, 859 on a calculator?

You can find the GCD of 209, 338, 366, 859 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.