GCD of 253, 676, 435, 339 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 253, 676, 435, 339 i.e. 1 largest integer that divides all the numbers equally.

GCD of 253, 676, 435, 339 is 1

GCD(253, 676, 435, 339) = 1

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

GCD of

GCD of numbers 253, 676, 435, 339 is 1

GCD(253, 676, 435, 339) = 1

GCD of 253,676,435,339 Calculator

GCDof 253,676,435,339 is 1

Given Input numbers are 253, 676, 435, 339

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

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Greatest Common Divisior

We found the divisors of 253, 676, 435, 339 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 253, 676, 435, 339 is 1.

Therefore, GCD of numbers 253, 676, 435, 339 is 1

Finding GCD of 253, 676, 435, 339 using Prime Factorization

Given Input Data is 253, 676, 435, 339

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

Prime Factorization of 253 is 11 x 23

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 339 is 3 x 113

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

Finding GCD of 253, 676, 435, 339 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(253, 676) = 171028

GCD(253, 676) = ( 253 x 676 ) / 171028

GCD(253, 676) = 171028 / 171028

GCD(253, 676) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 435

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

LCM(1, 435) = 435

GCD(1, 435) = ( 1 x 435 ) / 435

GCD(1, 435) = 435 / 435

GCD(1, 435) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 339

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

LCM(1, 339) = 339

GCD(1, 339) = ( 1 x 339 ) / 339

GCD(1, 339) = 339 / 339

GCD(1, 339) = 1

GCD of 253, 676, 435, 339 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 253, 676, 435, 339

1. What is the GCD of 253, 676, 435, 339?

GCD of 253, 676, 435, 339 is 1


2. Where do I get the detailed procedure to find GCD of 253, 676, 435, 339?

You can find a detailed procedure to find GCD of 253, 676, 435, 339 on our page.


3. How to find GCD of 253, 676, 435, 339 on a calculator?

You can find the GCD of 253, 676, 435, 339 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.