GCD of 469, 614, 307, 813 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 469, 614, 307, 813 i.e. 1 largest integer that divides all the numbers equally.

GCD of 469, 614, 307, 813 is 1

GCD(469, 614, 307, 813) = 1

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

GCD of

GCD of numbers 469, 614, 307, 813 is 1

GCD(469, 614, 307, 813) = 1

GCD of 469,614,307,813 Calculator

GCDof 469,614,307,813 is 1

Given Input numbers are 469, 614, 307, 813

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

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Greatest Common Divisior

We found the divisors of 469, 614, 307, 813 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 469, 614, 307, 813 is 1.

Therefore, GCD of numbers 469, 614, 307, 813 is 1

Finding GCD of 469, 614, 307, 813 using Prime Factorization

Given Input Data is 469, 614, 307, 813

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

Prime Factorization of 469 is 7 x 67

Prime Factorization of 614 is 2 x 307

Prime Factorization of 307 is 307

Prime Factorization of 813 is 3 x 271

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

Finding GCD of 469, 614, 307, 813 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(469, 614) = 287966

GCD(469, 614) = ( 469 x 614 ) / 287966

GCD(469, 614) = 287966 / 287966

GCD(469, 614) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 307

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

LCM(1, 307) = 307

GCD(1, 307) = ( 1 x 307 ) / 307

GCD(1, 307) = 307 / 307

GCD(1, 307) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 813

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

LCM(1, 813) = 813

GCD(1, 813) = ( 1 x 813 ) / 813

GCD(1, 813) = 813 / 813

GCD(1, 813) = 1

GCD of 469, 614, 307, 813 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 469, 614, 307, 813

1. What is the GCD of 469, 614, 307, 813?

GCD of 469, 614, 307, 813 is 1


2. Where do I get the detailed procedure to find GCD of 469, 614, 307, 813?

You can find a detailed procedure to find GCD of 469, 614, 307, 813 on our page.


3. How to find GCD of 469, 614, 307, 813 on a calculator?

You can find the GCD of 469, 614, 307, 813 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.