GCD of 513, 109, 347, 820 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, 109, 347, 820 i.e. 1 largest integer that divides all the numbers equally.

GCD of 513, 109, 347, 820 is 1

GCD(513, 109, 347, 820) = 1

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

GCD of

GCD of numbers 513, 109, 347, 820 is 1

GCD(513, 109, 347, 820) = 1

GCD of 513,109,347,820 Calculator

GCDof 513,109,347,820 is 1

Given Input numbers are 513, 109, 347, 820

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 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 347

List of positive integer divisors of 347 that divides 347 without a remainder.

1, 347

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Greatest Common Divisior

We found the divisors of 513, 109, 347, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 109, 347, 820 is 1.

Therefore, GCD of numbers 513, 109, 347, 820 is 1

Finding GCD of 513, 109, 347, 820 using Prime Factorization

Given Input Data is 513, 109, 347, 820

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 109 is 109

Prime Factorization of 347 is 347

Prime Factorization of 820 is 2 x 2 x 5 x 41

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

Finding GCD of 513, 109, 347, 820 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, 109) = 55917

GCD(513, 109) = ( 513 x 109 ) / 55917

GCD(513, 109) = 55917 / 55917

GCD(513, 109) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 347

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

LCM(1, 347) = 347

GCD(1, 347) = ( 1 x 347 ) / 347

GCD(1, 347) = 347 / 347

GCD(1, 347) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 820

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

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

GCD(1, 820) = 820 / 820

GCD(1, 820) = 1

GCD of 513, 109, 347, 820 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 513, 109, 347, 820

1. What is the GCD of 513, 109, 347, 820?

GCD of 513, 109, 347, 820 is 1


2. Where do I get the detailed procedure to find GCD of 513, 109, 347, 820?

You can find a detailed procedure to find GCD of 513, 109, 347, 820 on our page.


3. How to find GCD of 513, 109, 347, 820 on a calculator?

You can find the GCD of 513, 109, 347, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.