GCD of 206, 337, 196, 713 Calculator

Given Input numbers are 206, 337, 196, 713

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

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 337

List of positive integer divisors of 337 that divides 337 without a remainder.

1, 337

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Greatest Common Divisior

We found the divisors of 206, 337, 196, 713 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 206, 337, 196, 713 is 1.

Therefore, GCD of numbers 206, 337, 196, 713 is 1

Given Input Data is 206, 337, 196, 713

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

Prime Factorization of 206 is 2 x 103

Prime Factorization of 337 is 337

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 713 is 23 x 31

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(206, 337) = 69422

GCD(206, 337) = ( 206 x 337 ) / 69422

GCD(206, 337) = 69422 / 69422

GCD(206, 337) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 196

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

LCM(1, 196) = 196

GCD(1, 196) = ( 1 x 196 ) / 196

GCD(1, 196) = 196 / 196

GCD(1, 196) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 713

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

LCM(1, 713) = 713

GCD(1, 713) = ( 1 x 713 ) / 713

GCD(1, 713) = 713 / 713

GCD(1, 713) = 1

GCD of 206, 337, 196, 713 is 1

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1. What is the GCD of 206, 337, 196, 713?

GCD of 206, 337, 196, 713 is 1

2. Where do I get the detailed procedure to find GCD of 206, 337, 196, 713?

You can find a detailed procedure to find GCD of 206, 337, 196, 713 on our page.

3. How to find GCD of 206, 337, 196, 713 on a calculator?

You can find the GCD of 206, 337, 196, 713 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.