GCD of 203, 340, 34, 209 Calculator

Given Input numbers are 203, 340, 34, 209

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

Divisors of 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

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 203, 340, 34, 209 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 203, 340, 34, 209 is 1.

Therefore, GCD of numbers 203, 340, 34, 209 is 1

Given Input Data is 203, 340, 34, 209

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

Prime Factorization of 203 is 7 x 29

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 34 is 2 x 17

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(203, 340) = 69020

GCD(203, 340) = ( 203 x 340 ) / 69020

GCD(203, 340) = 69020 / 69020

GCD(203, 340) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 34

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

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

GCD(1, 34) = 34 / 34

GCD(1, 34) = 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 203, 340, 34, 209 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 698, 472, 12, 135
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• GCD of 330, 622, 68, 510

1. What is the GCD of 203, 340, 34, 209?

GCD of 203, 340, 34, 209 is 1

2. Where do I get the detailed procedure to find GCD of 203, 340, 34, 209?

You can find a detailed procedure to find GCD of 203, 340, 34, 209 on our page.

3. How to find GCD of 203, 340, 34, 209 on a calculator?

You can find the GCD of 203, 340, 34, 209 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.