GCD of 780, 309, 666, 779 Calculator

Given Input numbers are 780, 309, 666, 779

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

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 309

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

1, 3, 103, 309

Divisors of 666

List of positive integer divisors of 666 that divides 666 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

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 780, 309, 666, 779 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 309, 666, 779 is 1.

Therefore, GCD of numbers 780, 309, 666, 779 is 1

Given Input Data is 780, 309, 666, 779

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

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 309 is 3 x 103

Prime Factorization of 666 is 2 x 3 x 3 x 37

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(780, 309) = 80340

GCD(780, 309) = ( 780 x 309 ) / 80340

GCD(780, 309) = 241020 / 80340

GCD(780, 309) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 666

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

LCM(3, 666) = 666

GCD(3, 666) = ( 3 x 666 ) / 666

GCD(3, 666) = 1998 / 666

GCD(3, 666) = 3

Step3:

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 780, 309, 666, 779 is 1

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1. What is the GCD of 780, 309, 666, 779?

GCD of 780, 309, 666, 779 is 1

2. Where do I get the detailed procedure to find GCD of 780, 309, 666, 779?

You can find a detailed procedure to find GCD of 780, 309, 666, 779 on our page.

3. How to find GCD of 780, 309, 666, 779 on a calculator?

You can find the GCD of 780, 309, 666, 779 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.