GCD of 764, 478, 472, 464 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 764, 478, 472, 464 i.e. 2 largest integer that divides all the numbers equally.

GCD of 764, 478, 472, 464 is 2

GCD(764, 478, 472, 464) = 2

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

GCD of

GCD of numbers 764, 478, 472, 464 is 2

GCD(764, 478, 472, 464) = 2

GCD of 764,478,472,464 Calculator

GCDof 764,478,472,464 is 2

Given Input numbers are 764, 478, 472, 464

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

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 472

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

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

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Greatest Common Divisior

We found the divisors of 764, 478, 472, 464 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 764, 478, 472, 464 is 2.

Therefore, GCD of numbers 764, 478, 472, 464 is 2

Finding GCD of 764, 478, 472, 464 using Prime Factorization

Given Input Data is 764, 478, 472, 464

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

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 478 is 2 x 239

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

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 764, 478, 472, 464 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(764, 478) = 182596

GCD(764, 478) = ( 764 x 478 ) / 182596

GCD(764, 478) = 365192 / 182596

GCD(764, 478) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 472

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

LCM(2, 472) = 472

GCD(2, 472) = ( 2 x 472 ) / 472

GCD(2, 472) = 944 / 472

GCD(2, 472) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 464

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

LCM(2, 464) = 464

GCD(2, 464) = ( 2 x 464 ) / 464

GCD(2, 464) = 928 / 464

GCD(2, 464) = 2

GCD of 764, 478, 472, 464 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 764, 478, 472, 464

1. What is the GCD of 764, 478, 472, 464?

GCD of 764, 478, 472, 464 is 2


2. Where do I get the detailed procedure to find GCD of 764, 478, 472, 464?

You can find a detailed procedure to find GCD of 764, 478, 472, 464 on our page.


3. How to find GCD of 764, 478, 472, 464 on a calculator?

You can find the GCD of 764, 478, 472, 464 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.