GCD of 455, 338, 757 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 455, 338, 757 i.e. 1 largest integer that divides all the numbers equally.

GCD of 455, 338, 757 is 1

GCD(455, 338, 757) = 1

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

GCD of

GCD of numbers 455, 338, 757 is 1

GCD(455, 338, 757) = 1

GCD of 455,338,757 Calculator

GCDof 455,338,757 is 1

Given Input numbers are 455, 338, 757

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

Divisors of 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

Greatest Common Divisior

We found the divisors of 455, 338, 757 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 455, 338, 757 is 1.

Therefore, GCD of numbers 455, 338, 757 is 1

Finding GCD of 455, 338, 757 using Prime Factorization

Given Input Data is 455, 338, 757

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

Prime Factorization of 455 is 5 x 7 x 13

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 757 is 757

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

Finding GCD of 455, 338, 757 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(455, 338) = 11830

GCD(455, 338) = ( 455 x 338 ) / 11830

GCD(455, 338) = 153790 / 11830

GCD(455, 338) = 13


Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 757

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

LCM(13, 757) = 9841

GCD(13, 757) = ( 13 x 757 ) / 9841

GCD(13, 757) = 9841 / 9841

GCD(13, 757) = 1

GCD of 455, 338, 757 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 455, 338, 757

1. What is the GCD of 455, 338, 757?

GCD of 455, 338, 757 is 1


2. Where do I get the detailed procedure to find GCD of 455, 338, 757?

You can find a detailed procedure to find GCD of 455, 338, 757 on our page.


3. How to find GCD of 455, 338, 757 on a calculator?

You can find the GCD of 455, 338, 757 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.