GCD of 513, 822, 95, 364 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, 822, 95, 364 i.e. 1 largest integer that divides all the numbers equally.

GCD of 513, 822, 95, 364 is 1

GCD(513, 822, 95, 364) = 1

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

GCD of

GCD of numbers 513, 822, 95, 364 is 1

GCD(513, 822, 95, 364) = 1

GCD of 513,822,95,364 Calculator

GCDof 513,822,95,364 is 1

Given Input numbers are 513, 822, 95, 364

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 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 95

List of positive integer divisors of 95 that divides 95 without a remainder.

1, 5, 19, 95

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 513, 822, 95, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 822, 95, 364 is 1.

Therefore, GCD of numbers 513, 822, 95, 364 is 1

Finding GCD of 513, 822, 95, 364 using Prime Factorization

Given Input Data is 513, 822, 95, 364

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 822 is 2 x 3 x 137

Prime Factorization of 95 is 5 x 19

Prime Factorization of 364 is 2 x 2 x 7 x 13

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

Finding GCD of 513, 822, 95, 364 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, 822) = 140562

GCD(513, 822) = ( 513 x 822 ) / 140562

GCD(513, 822) = 421686 / 140562

GCD(513, 822) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 95

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

LCM(3, 95) = 285

GCD(3, 95) = ( 3 x 95 ) / 285

GCD(3, 95) = 285 / 285

GCD(3, 95) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1

GCD of 513, 822, 95, 364 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 513, 822, 95, 364

1. What is the GCD of 513, 822, 95, 364?

GCD of 513, 822, 95, 364 is 1


2. Where do I get the detailed procedure to find GCD of 513, 822, 95, 364?

You can find a detailed procedure to find GCD of 513, 822, 95, 364 on our page.


3. How to find GCD of 513, 822, 95, 364 on a calculator?

You can find the GCD of 513, 822, 95, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.