GCD of 685, 297, 25, 319 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 685, 297, 25, 319 i.e. 1 largest integer that divides all the numbers equally.

GCD of 685, 297, 25, 319 is 1

GCD(685, 297, 25, 319) = 1

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

GCD of

GCD of numbers 685, 297, 25, 319 is 1

GCD(685, 297, 25, 319) = 1

GCD of 685,297,25,319 Calculator

GCDof 685,297,25,319 is 1

Given Input numbers are 685, 297, 25, 319

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

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Greatest Common Divisior

We found the divisors of 685, 297, 25, 319 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 685, 297, 25, 319 is 1.

Therefore, GCD of numbers 685, 297, 25, 319 is 1

Finding GCD of 685, 297, 25, 319 using Prime Factorization

Given Input Data is 685, 297, 25, 319

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

Prime Factorization of 685 is 5 x 137

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 25 is 5 x 5

Prime Factorization of 319 is 11 x 29

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

Finding GCD of 685, 297, 25, 319 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(685, 297) = 203445

GCD(685, 297) = ( 685 x 297 ) / 203445

GCD(685, 297) = 203445 / 203445

GCD(685, 297) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 25

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

LCM(1, 25) = 25

GCD(1, 25) = ( 1 x 25 ) / 25

GCD(1, 25) = 25 / 25

GCD(1, 25) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 319

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

LCM(1, 319) = 319

GCD(1, 319) = ( 1 x 319 ) / 319

GCD(1, 319) = 319 / 319

GCD(1, 319) = 1

GCD of 685, 297, 25, 319 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 685, 297, 25, 319

1. What is the GCD of 685, 297, 25, 319?

GCD of 685, 297, 25, 319 is 1


2. Where do I get the detailed procedure to find GCD of 685, 297, 25, 319?

You can find a detailed procedure to find GCD of 685, 297, 25, 319 on our page.


3. How to find GCD of 685, 297, 25, 319 on a calculator?

You can find the GCD of 685, 297, 25, 319 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.