GCD of 389, 684, 30, 980 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, 684, 30, 980 i.e. 1 largest integer that divides all the numbers equally.

GCD of 389, 684, 30, 980 is 1

GCD(389, 684, 30, 980) = 1

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

GCD of

GCD of numbers 389, 684, 30, 980 is 1

GCD(389, 684, 30, 980) = 1

GCD of 389,684,30,980 Calculator

GCDof 389,684,30,980 is 1

Given Input numbers are 389, 684, 30, 980

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 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Greatest Common Divisior

We found the divisors of 389, 684, 30, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 389, 684, 30, 980 is 1.

Therefore, GCD of numbers 389, 684, 30, 980 is 1

Finding GCD of 389, 684, 30, 980 using Prime Factorization

Given Input Data is 389, 684, 30, 980

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

Prime Factorization of 389 is 389

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

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

Finding GCD of 389, 684, 30, 980 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, 684) = 266076

GCD(389, 684) = ( 389 x 684 ) / 266076

GCD(389, 684) = 266076 / 266076

GCD(389, 684) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 980

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

LCM(1, 980) = 980

GCD(1, 980) = ( 1 x 980 ) / 980

GCD(1, 980) = 980 / 980

GCD(1, 980) = 1

GCD of 389, 684, 30, 980 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 389, 684, 30, 980

1. What is the GCD of 389, 684, 30, 980?

GCD of 389, 684, 30, 980 is 1


2. Where do I get the detailed procedure to find GCD of 389, 684, 30, 980?

You can find a detailed procedure to find GCD of 389, 684, 30, 980 on our page.


3. How to find GCD of 389, 684, 30, 980 on a calculator?

You can find the GCD of 389, 684, 30, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.