GCD of 449, 957, 428 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 449, 957, 428 i.e. 1 largest integer that divides all the numbers equally.

GCD of 449, 957, 428 is 1

GCD(449, 957, 428) = 1

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

GCD of

GCD of numbers 449, 957, 428 is 1

GCD(449, 957, 428) = 1

GCD of 449,957,428 Calculator

GCDof 449,957,428 is 1

Given Input numbers are 449, 957, 428

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

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Divisors of 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Greatest Common Divisior

We found the divisors of 449, 957, 428 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 449, 957, 428 is 1.

Therefore, GCD of numbers 449, 957, 428 is 1

Finding GCD of 449, 957, 428 using Prime Factorization

Given Input Data is 449, 957, 428

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

Prime Factorization of 449 is 449

Prime Factorization of 957 is 3 x 11 x 29

Prime Factorization of 428 is 2 x 2 x 107

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

Finding GCD of 449, 957, 428 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(449, 957) = 429693

GCD(449, 957) = ( 449 x 957 ) / 429693

GCD(449, 957) = 429693 / 429693

GCD(449, 957) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 428

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

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

GCD(1, 428) = 428 / 428

GCD(1, 428) = 1

GCD of 449, 957, 428 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 449, 957, 428

1. What is the GCD of 449, 957, 428?

GCD of 449, 957, 428 is 1


2. Where do I get the detailed procedure to find GCD of 449, 957, 428?

You can find a detailed procedure to find GCD of 449, 957, 428 on our page.


3. How to find GCD of 449, 957, 428 on a calculator?

You can find the GCD of 449, 957, 428 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.