GCD of 893, 449, 137, 343 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 893, 449, 137, 343 i.e. 1 largest integer that divides all the numbers equally.

GCD of 893, 449, 137, 343 is 1

GCD(893, 449, 137, 343) = 1

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

GCD of

GCD of numbers 893, 449, 137, 343 is 1

GCD(893, 449, 137, 343) = 1

GCD of 893,449,137,343 Calculator

GCDof 893,449,137,343 is 1

Given Input numbers are 893, 449, 137, 343

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

Divisors of 893

List of positive integer divisors of 893 that divides 893 without a remainder.

1, 19, 47, 893

Divisors of 449

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

1, 449

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Greatest Common Divisior

We found the divisors of 893, 449, 137, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 893, 449, 137, 343 is 1.

Therefore, GCD of numbers 893, 449, 137, 343 is 1

Finding GCD of 893, 449, 137, 343 using Prime Factorization

Given Input Data is 893, 449, 137, 343

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

Prime Factorization of 893 is 19 x 47

Prime Factorization of 449 is 449

Prime Factorization of 137 is 137

Prime Factorization of 343 is 7 x 7 x 7

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

Finding GCD of 893, 449, 137, 343 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(893, 449) = 400957

GCD(893, 449) = ( 893 x 449 ) / 400957

GCD(893, 449) = 400957 / 400957

GCD(893, 449) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 137

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

LCM(1, 137) = 137

GCD(1, 137) = ( 1 x 137 ) / 137

GCD(1, 137) = 137 / 137

GCD(1, 137) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 343

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

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

GCD(1, 343) = 343 / 343

GCD(1, 343) = 1

GCD of 893, 449, 137, 343 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 893, 449, 137, 343

1. What is the GCD of 893, 449, 137, 343?

GCD of 893, 449, 137, 343 is 1


2. Where do I get the detailed procedure to find GCD of 893, 449, 137, 343?

You can find a detailed procedure to find GCD of 893, 449, 137, 343 on our page.


3. How to find GCD of 893, 449, 137, 343 on a calculator?

You can find the GCD of 893, 449, 137, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.