GCD of 778, 102, 309 Calculator

Given Input numbers are 778, 102, 309

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

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 778, 102, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 778, 102, 309 is 1.

Therefore, GCD of numbers 778, 102, 309 is 1

Given Input Data is 778, 102, 309

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

Prime Factorization of 778 is 2 x 389

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 309 is 3 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(778, 102) = 39678

GCD(778, 102) = ( 778 x 102 ) / 39678

GCD(778, 102) = 79356 / 39678

GCD(778, 102) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 309

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

LCM(2, 309) = 618

GCD(2, 309) = ( 2 x 309 ) / 618

GCD(2, 309) = 618 / 618

GCD(2, 309) = 1

GCD of 778, 102, 309 is 1

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1. What is the GCD of 778, 102, 309?

GCD of 778, 102, 309 is 1

2. Where do I get the detailed procedure to find GCD of 778, 102, 309?

You can find a detailed procedure to find GCD of 778, 102, 309 on our page.

3. How to find GCD of 778, 102, 309 on a calculator?

You can find the GCD of 778, 102, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.