GCD of 389, 880, 521, 949 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 389, 880, 521, 949 i.e. 1 largest integer that divides all the numbers equally.

GCD of 389, 880, 521, 949 is 1

GCD(389, 880, 521, 949) = 1

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

GCD of

GCD of numbers 389, 880, 521, 949 is 1

GCD(389, 880, 521, 949) = 1

GCD of 389,880,521,949 Calculator

GCDof 389,880,521,949 is 1

Given Input numbers are 389, 880, 521, 949

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

Divisors of 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Greatest Common Divisior

We found the divisors of 389, 880, 521, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 389, 880, 521, 949 is 1.

Therefore, GCD of numbers 389, 880, 521, 949 is 1

Finding GCD of 389, 880, 521, 949 using Prime Factorization

Given Input Data is 389, 880, 521, 949

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

Prime Factorization of 389 is 389

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 521 is 521

Prime Factorization of 949 is 13 x 73

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

Finding GCD of 389, 880, 521, 949 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(389, 880) = 342320

GCD(389, 880) = ( 389 x 880 ) / 342320

GCD(389, 880) = 342320 / 342320

GCD(389, 880) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 521

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

LCM(1, 521) = 521

GCD(1, 521) = ( 1 x 521 ) / 521

GCD(1, 521) = 521 / 521

GCD(1, 521) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 949

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

LCM(1, 949) = 949

GCD(1, 949) = ( 1 x 949 ) / 949

GCD(1, 949) = 949 / 949

GCD(1, 949) = 1

GCD of 389, 880, 521, 949 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 389, 880, 521, 949

1. What is the GCD of 389, 880, 521, 949?

GCD of 389, 880, 521, 949 is 1


2. Where do I get the detailed procedure to find GCD of 389, 880, 521, 949?

You can find a detailed procedure to find GCD of 389, 880, 521, 949 on our page.


3. How to find GCD of 389, 880, 521, 949 on a calculator?

You can find the GCD of 389, 880, 521, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.