GCD of 891, 598, 231, 480 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 891, 598, 231, 480 i.e. 1 largest integer that divides all the numbers equally.

GCD of 891, 598, 231, 480 is 1

GCD(891, 598, 231, 480) = 1

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

GCD of

GCD of numbers 891, 598, 231, 480 is 1

GCD(891, 598, 231, 480) = 1

GCD of 891,598,231,480 Calculator

GCDof 891,598,231,480 is 1

Given Input numbers are 891, 598, 231, 480

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

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Greatest Common Divisior

We found the divisors of 891, 598, 231, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 891, 598, 231, 480 is 1.

Therefore, GCD of numbers 891, 598, 231, 480 is 1

Finding GCD of 891, 598, 231, 480 using Prime Factorization

Given Input Data is 891, 598, 231, 480

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

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Finding GCD of 891, 598, 231, 480 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(891, 598) = 532818

GCD(891, 598) = ( 891 x 598 ) / 532818

GCD(891, 598) = 532818 / 532818

GCD(891, 598) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 231

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

LCM(1, 231) = 231

GCD(1, 231) = ( 1 x 231 ) / 231

GCD(1, 231) = 231 / 231

GCD(1, 231) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 480

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

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

GCD(1, 480) = 480 / 480

GCD(1, 480) = 1

GCD of 891, 598, 231, 480 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 891, 598, 231, 480

1. What is the GCD of 891, 598, 231, 480?

GCD of 891, 598, 231, 480 is 1


2. Where do I get the detailed procedure to find GCD of 891, 598, 231, 480?

You can find a detailed procedure to find GCD of 891, 598, 231, 480 on our page.


3. How to find GCD of 891, 598, 231, 480 on a calculator?

You can find the GCD of 891, 598, 231, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.