GCD of 309, 130, 80, 774 Calculator

Given Input numbers are 309, 130, 80, 774

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

Divisors of 309

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

1, 3, 103, 309

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Greatest Common Divisior

We found the divisors of 309, 130, 80, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 130, 80, 774 is 1.

Therefore, GCD of numbers 309, 130, 80, 774 is 1

Given Input Data is 309, 130, 80, 774

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 774 is 2 x 3 x 3 x 43

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(309, 130) = 40170

GCD(309, 130) = ( 309 x 130 ) / 40170

GCD(309, 130) = 40170 / 40170

GCD(309, 130) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 80

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

LCM(1, 80) = 80

GCD(1, 80) = ( 1 x 80 ) / 80

GCD(1, 80) = 80 / 80

GCD(1, 80) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 774

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

LCM(1, 774) = 774

GCD(1, 774) = ( 1 x 774 ) / 774

GCD(1, 774) = 774 / 774

GCD(1, 774) = 1

GCD of 309, 130, 80, 774 is 1

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• GCD of 381, 494, 46, 395
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• GCD of 245, 710, 55, 921

1. What is the GCD of 309, 130, 80, 774?

GCD of 309, 130, 80, 774 is 1

2. Where do I get the detailed procedure to find GCD of 309, 130, 80, 774?

You can find a detailed procedure to find GCD of 309, 130, 80, 774 on our page.

3. How to find GCD of 309, 130, 80, 774 on a calculator?

You can find the GCD of 309, 130, 80, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.