GCD of 309, 758, 13, 782 Calculator

Given Input numbers are 309, 758, 13, 782

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 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Greatest Common Divisior

We found the divisors of 309, 758, 13, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 758, 13, 782 is 1.

Therefore, GCD of numbers 309, 758, 13, 782 is 1

Given Input Data is 309, 758, 13, 782

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 758 is 2 x 379

Prime Factorization of 13 is 13

Prime Factorization of 782 is 2 x 17 x 23

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, 758) = 234222

GCD(309, 758) = ( 309 x 758 ) / 234222

GCD(309, 758) = 234222 / 234222

GCD(309, 758) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 782

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

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

GCD(1, 782) = 782 / 782

GCD(1, 782) = 1

GCD of 309, 758, 13, 782 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 962, 162, 65, 970
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• GCD of 891, 690, 51, 354

1. What is the GCD of 309, 758, 13, 782?

GCD of 309, 758, 13, 782 is 1

2. Where do I get the detailed procedure to find GCD of 309, 758, 13, 782?

You can find a detailed procedure to find GCD of 309, 758, 13, 782 on our page.

3. How to find GCD of 309, 758, 13, 782 on a calculator?

You can find the GCD of 309, 758, 13, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.