GCD of 206, 680, 226, 217 Calculator

Given Input numbers are 206, 680, 226, 217

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 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Greatest Common Divisior

We found the divisors of 206, 680, 226, 217 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 206, 680, 226, 217 is 1.

Therefore, GCD of numbers 206, 680, 226, 217 is 1

Given Input Data is 206, 680, 226, 217

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

Prime Factorization of 206 is 2 x 103

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 226 is 2 x 113

Prime Factorization of 217 is 7 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, 680) = 70040

GCD(206, 680) = ( 206 x 680 ) / 70040

GCD(206, 680) = 140080 / 70040

GCD(206, 680) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 226

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

LCM(2, 226) = 226

GCD(2, 226) = ( 2 x 226 ) / 226

GCD(2, 226) = 452 / 226

GCD(2, 226) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 217

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

LCM(2, 217) = 434

GCD(2, 217) = ( 2 x 217 ) / 434

GCD(2, 217) = 434 / 434

GCD(2, 217) = 1

GCD of 206, 680, 226, 217 is 1

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1. What is the GCD of 206, 680, 226, 217?

GCD of 206, 680, 226, 217 is 1

2. Where do I get the detailed procedure to find GCD of 206, 680, 226, 217?

You can find a detailed procedure to find GCD of 206, 680, 226, 217 on our page.

3. How to find GCD of 206, 680, 226, 217 on a calculator?

You can find the GCD of 206, 680, 226, 217 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.