GCD of 219, 684, 779 Calculator

Given Input numbers are 219, 684, 779

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

Divisors of 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Greatest Common Divisior

We found the divisors of 219, 684, 779 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 219, 684, 779 is 1.

Therefore, GCD of numbers 219, 684, 779 is 1

Given Input Data is 219, 684, 779

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

Prime Factorization of 219 is 3 x 73

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 779 is 19 x 41

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(219, 684) = 49932

GCD(219, 684) = ( 219 x 684 ) / 49932

GCD(219, 684) = 149796 / 49932

GCD(219, 684) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 779

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

LCM(3, 779) = 2337

GCD(3, 779) = ( 3 x 779 ) / 2337

GCD(3, 779) = 2337 / 2337

GCD(3, 779) = 1

GCD of 219, 684, 779 is 1

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1. What is the GCD of 219, 684, 779?

GCD of 219, 684, 779 is 1

2. Where do I get the detailed procedure to find GCD of 219, 684, 779?

You can find a detailed procedure to find GCD of 219, 684, 779 on our page.

3. How to find GCD of 219, 684, 779 on a calculator?

You can find the GCD of 219, 684, 779 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.