GCD of 513, 645, 306, 626 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, 645, 306, 626 i.e. 1 largest integer that divides all the numbers equally.

GCD of 513, 645, 306, 626 is 1

GCD(513, 645, 306, 626) = 1

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

GCD of

GCD of numbers 513, 645, 306, 626 is 1

GCD(513, 645, 306, 626) = 1

GCD of 513,645,306,626 Calculator

GCDof 513,645,306,626 is 1

Given Input numbers are 513, 645, 306, 626

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 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 626

List of positive integer divisors of 626 that divides 626 without a remainder.

1, 2, 313, 626

Greatest Common Divisior

We found the divisors of 513, 645, 306, 626 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 645, 306, 626 is 1.

Therefore, GCD of numbers 513, 645, 306, 626 is 1

Finding GCD of 513, 645, 306, 626 using Prime Factorization

Given Input Data is 513, 645, 306, 626

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 645 is 3 x 5 x 43

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 626 is 2 x 313

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

Finding GCD of 513, 645, 306, 626 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, 645) = 110295

GCD(513, 645) = ( 513 x 645 ) / 110295

GCD(513, 645) = 330885 / 110295

GCD(513, 645) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 306

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

LCM(3, 306) = 306

GCD(3, 306) = ( 3 x 306 ) / 306

GCD(3, 306) = 918 / 306

GCD(3, 306) = 3


Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 626

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

LCM(3, 626) = 1878

GCD(3, 626) = ( 3 x 626 ) / 1878

GCD(3, 626) = 1878 / 1878

GCD(3, 626) = 1

GCD of 513, 645, 306, 626 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 513, 645, 306, 626

1. What is the GCD of 513, 645, 306, 626?

GCD of 513, 645, 306, 626 is 1


2. Where do I get the detailed procedure to find GCD of 513, 645, 306, 626?

You can find a detailed procedure to find GCD of 513, 645, 306, 626 on our page.


3. How to find GCD of 513, 645, 306, 626 on a calculator?

You can find the GCD of 513, 645, 306, 626 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.