GCD of 779, 209, 31, 194 Calculator

Given Input numbers are 779, 209, 31, 194

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

Divisors of 779

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

1, 19, 41, 779

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Greatest Common Divisior

We found the divisors of 779, 209, 31, 194 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 779, 209, 31, 194 is 1.

Therefore, GCD of numbers 779, 209, 31, 194 is 1

Given Input Data is 779, 209, 31, 194

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

Prime Factorization of 779 is 19 x 41

Prime Factorization of 209 is 11 x 19

Prime Factorization of 31 is 31

Prime Factorization of 194 is 2 x 97

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(779, 209) = 8569

GCD(779, 209) = ( 779 x 209 ) / 8569

GCD(779, 209) = 162811 / 8569

GCD(779, 209) = 19

Step2:

Here we consider the GCD from the above i.e. 19 as first number and the next as 31

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

LCM(19, 31) = 589

GCD(19, 31) = ( 19 x 31 ) / 589

GCD(19, 31) = 589 / 589

GCD(19, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 194

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

LCM(1, 194) = 194

GCD(1, 194) = ( 1 x 194 ) / 194

GCD(1, 194) = 194 / 194

GCD(1, 194) = 1

GCD of 779, 209, 31, 194 is 1

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1. What is the GCD of 779, 209, 31, 194?

GCD of 779, 209, 31, 194 is 1

2. Where do I get the detailed procedure to find GCD of 779, 209, 31, 194?

You can find a detailed procedure to find GCD of 779, 209, 31, 194 on our page.

3. How to find GCD of 779, 209, 31, 194 on a calculator?

You can find the GCD of 779, 209, 31, 194 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.