GCD of 513, 565, 90, 472 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 513, 565, 90, 472 i.e. 1 largest integer that divides all the numbers equally.

GCD of 513, 565, 90, 472 is 1

GCD(513, 565, 90, 472) = 1

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

GCD of

GCD of numbers 513, 565, 90, 472 is 1

GCD(513, 565, 90, 472) = 1

GCD of 513,565,90,472 Calculator

GCDof 513,565,90,472 is 1

Given Input numbers are 513, 565, 90, 472

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

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Greatest Common Divisior

We found the divisors of 513, 565, 90, 472 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 565, 90, 472 is 1.

Therefore, GCD of numbers 513, 565, 90, 472 is 1

Finding GCD of 513, 565, 90, 472 using Prime Factorization

Given Input Data is 513, 565, 90, 472

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

Prime Factorization of 513 is 3 x 3 x 3 x 19

Prime Factorization of 565 is 5 x 113

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 472 is 2 x 2 x 2 x 59

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

Finding GCD of 513, 565, 90, 472 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(513, 565) = 289845

GCD(513, 565) = ( 513 x 565 ) / 289845

GCD(513, 565) = 289845 / 289845

GCD(513, 565) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

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

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 472

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

LCM(1, 472) = 472

GCD(1, 472) = ( 1 x 472 ) / 472

GCD(1, 472) = 472 / 472

GCD(1, 472) = 1

GCD of 513, 565, 90, 472 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 513, 565, 90, 472

1. What is the GCD of 513, 565, 90, 472?

GCD of 513, 565, 90, 472 is 1


2. Where do I get the detailed procedure to find GCD of 513, 565, 90, 472?

You can find a detailed procedure to find GCD of 513, 565, 90, 472 on our page.


3. How to find GCD of 513, 565, 90, 472 on a calculator?

You can find the GCD of 513, 565, 90, 472 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.