GCD of 576, 980, 382, 847 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 576, 980, 382, 847 i.e. 1 largest integer that divides all the numbers equally.

GCD of 576, 980, 382, 847 is 1

GCD(576, 980, 382, 847) = 1

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

GCD of

GCD of numbers 576, 980, 382, 847 is 1

GCD(576, 980, 382, 847) = 1

GCD of 576,980,382,847 Calculator

GCDof 576,980,382,847 is 1

Given Input numbers are 576, 980, 382, 847

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

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

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

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 847

List of positive integer divisors of 847 that divides 847 without a remainder.

1, 7, 11, 77, 121, 847

Greatest Common Divisior

We found the divisors of 576, 980, 382, 847 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 980, 382, 847 is 1.

Therefore, GCD of numbers 576, 980, 382, 847 is 1

Finding GCD of 576, 980, 382, 847 using Prime Factorization

Given Input Data is 576, 980, 382, 847

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

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

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

Prime Factorization of 382 is 2 x 191

Prime Factorization of 847 is 7 x 11 x 11

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

Finding GCD of 576, 980, 382, 847 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(576, 980) = 141120

GCD(576, 980) = ( 576 x 980 ) / 141120

GCD(576, 980) = 564480 / 141120

GCD(576, 980) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 382

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

LCM(4, 382) = 764

GCD(4, 382) = ( 4 x 382 ) / 764

GCD(4, 382) = 1528 / 764

GCD(4, 382) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 847

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

LCM(2, 847) = 1694

GCD(2, 847) = ( 2 x 847 ) / 1694

GCD(2, 847) = 1694 / 1694

GCD(2, 847) = 1

GCD of 576, 980, 382, 847 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 576, 980, 382, 847

1. What is the GCD of 576, 980, 382, 847?

GCD of 576, 980, 382, 847 is 1


2. Where do I get the detailed procedure to find GCD of 576, 980, 382, 847?

You can find a detailed procedure to find GCD of 576, 980, 382, 847 on our page.


3. How to find GCD of 576, 980, 382, 847 on a calculator?

You can find the GCD of 576, 980, 382, 847 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.