GCD of 309, 955, 23, 780 Calculator

Given Input numbers are 309, 955, 23, 780

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 955

List of positive integer divisors of 955 that divides 955 without a remainder.

1, 5, 191, 955

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

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

Greatest Common Divisior

We found the divisors of 309, 955, 23, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 955, 23, 780 is 1.

Therefore, GCD of numbers 309, 955, 23, 780 is 1

Given Input Data is 309, 955, 23, 780

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 955 is 5 x 191

Prime Factorization of 23 is 23

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

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, 955) = 295095

GCD(309, 955) = ( 309 x 955 ) / 295095

GCD(309, 955) = 295095 / 295095

GCD(309, 955) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 23

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

LCM(1, 23) = 23

GCD(1, 23) = ( 1 x 23 ) / 23

GCD(1, 23) = 23 / 23

GCD(1, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 780

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

LCM(1, 780) = 780

GCD(1, 780) = ( 1 x 780 ) / 780

GCD(1, 780) = 780 / 780

GCD(1, 780) = 1

GCD of 309, 955, 23, 780 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 401, 954, 43, 984
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• GCD of 622, 611, 15, 748

1. What is the GCD of 309, 955, 23, 780?

GCD of 309, 955, 23, 780 is 1

2. Where do I get the detailed procedure to find GCD of 309, 955, 23, 780?

You can find a detailed procedure to find GCD of 309, 955, 23, 780 on our page.

3. How to find GCD of 309, 955, 23, 780 on a calculator?

You can find the GCD of 309, 955, 23, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.