GCD of 869, 680, 206 Calculator

Given Input numbers are 869, 680, 206

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

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

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 206

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

1, 2, 103, 206

Greatest Common Divisior

We found the divisors of 869, 680, 206 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 869, 680, 206 is 1.

Therefore, GCD of numbers 869, 680, 206 is 1

Given Input Data is 869, 680, 206

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

Prime Factorization of 869 is 11 x 79

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

Prime Factorization of 206 is 2 x 103

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(869, 680) = 590920

GCD(869, 680) = ( 869 x 680 ) / 590920

GCD(869, 680) = 590920 / 590920

GCD(869, 680) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 206

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

LCM(1, 206) = 206

GCD(1, 206) = ( 1 x 206 ) / 206

GCD(1, 206) = 206 / 206

GCD(1, 206) = 1

GCD of 869, 680, 206 is 1

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1. What is the GCD of 869, 680, 206?

GCD of 869, 680, 206 is 1

2. Where do I get the detailed procedure to find GCD of 869, 680, 206?

You can find a detailed procedure to find GCD of 869, 680, 206 on our page.

3. How to find GCD of 869, 680, 206 on a calculator?

You can find the GCD of 869, 680, 206 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.