GCD of 382, 907, 13, 945 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 382, 907, 13, 945 i.e. 1 largest integer that divides all the numbers equally.

GCD of 382, 907, 13, 945 is 1

GCD(382, 907, 13, 945) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 382, 907, 13, 945 is 1

GCD(382, 907, 13, 945) = 1

GCD of 382,907,13,945 Calculator

GCDof 382,907,13,945 is 1

Given Input numbers are 382, 907, 13, 945

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

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 907

List of positive integer divisors of 907 that divides 907 without a remainder.

1, 907

Divisors of 13

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

1, 13

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Greatest Common Divisior

We found the divisors of 382, 907, 13, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 382, 907, 13, 945 is 1.

Therefore, GCD of numbers 382, 907, 13, 945 is 1

Finding GCD of 382, 907, 13, 945 using Prime Factorization

Given Input Data is 382, 907, 13, 945

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

Prime Factorization of 382 is 2 x 191

Prime Factorization of 907 is 907

Prime Factorization of 13 is 13

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 382, 907, 13, 945 using LCM Formula

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(382, 907) = 346474

GCD(382, 907) = ( 382 x 907 ) / 346474

GCD(382, 907) = 346474 / 346474

GCD(382, 907) = 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 945

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

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

GCD(1, 945) = 945 / 945

GCD(1, 945) = 1

GCD of 382, 907, 13, 945 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 382, 907, 13, 945

1. What is the GCD of 382, 907, 13, 945?

GCD of 382, 907, 13, 945 is 1


2. Where do I get the detailed procedure to find GCD of 382, 907, 13, 945?

You can find a detailed procedure to find GCD of 382, 907, 13, 945 on our page.


3. How to find GCD of 382, 907, 13, 945 on a calculator?

You can find the GCD of 382, 907, 13, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.