GCD of 564, 238, 897, 535 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 564, 238, 897, 535 i.e. 1 largest integer that divides all the numbers equally.

GCD of 564, 238, 897, 535 is 1

GCD(564, 238, 897, 535) = 1

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

GCD of

GCD of numbers 564, 238, 897, 535 is 1

GCD(564, 238, 897, 535) = 1

GCD of 564,238,897,535 Calculator

GCDof 564,238,897,535 is 1

Given Input numbers are 564, 238, 897, 535

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

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 535

List of positive integer divisors of 535 that divides 535 without a remainder.

1, 5, 107, 535

Greatest Common Divisior

We found the divisors of 564, 238, 897, 535 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 238, 897, 535 is 1.

Therefore, GCD of numbers 564, 238, 897, 535 is 1

Finding GCD of 564, 238, 897, 535 using Prime Factorization

Given Input Data is 564, 238, 897, 535

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

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 897 is 3 x 13 x 23

Prime Factorization of 535 is 5 x 107

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

Finding GCD of 564, 238, 897, 535 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(564, 238) = 67116

GCD(564, 238) = ( 564 x 238 ) / 67116

GCD(564, 238) = 134232 / 67116

GCD(564, 238) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 897

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

LCM(2, 897) = 1794

GCD(2, 897) = ( 2 x 897 ) / 1794

GCD(2, 897) = 1794 / 1794

GCD(2, 897) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 535

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

LCM(1, 535) = 535

GCD(1, 535) = ( 1 x 535 ) / 535

GCD(1, 535) = 535 / 535

GCD(1, 535) = 1

GCD of 564, 238, 897, 535 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 564, 238, 897, 535

1. What is the GCD of 564, 238, 897, 535?

GCD of 564, 238, 897, 535 is 1


2. Where do I get the detailed procedure to find GCD of 564, 238, 897, 535?

You can find a detailed procedure to find GCD of 564, 238, 897, 535 on our page.


3. How to find GCD of 564, 238, 897, 535 on a calculator?

You can find the GCD of 564, 238, 897, 535 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.