GCD of 976, 810, 634, 476 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 976, 810, 634, 476 i.e. 2 largest integer that divides all the numbers equally.

GCD of 976, 810, 634, 476 is 2

GCD(976, 810, 634, 476) = 2

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

GCD of

GCD of numbers 976, 810, 634, 476 is 2

GCD(976, 810, 634, 476) = 2

GCD of 976,810,634,476 Calculator

GCDof 976,810,634,476 is 2

Given Input numbers are 976, 810, 634, 476

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

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Greatest Common Divisior

We found the divisors of 976, 810, 634, 476 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 810, 634, 476 is 2.

Therefore, GCD of numbers 976, 810, 634, 476 is 2

Finding GCD of 976, 810, 634, 476 using Prime Factorization

Given Input Data is 976, 810, 634, 476

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

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5

Prime Factorization of 634 is 2 x 317

Prime Factorization of 476 is 2 x 2 x 7 x 17

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 976, 810, 634, 476 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(976, 810) = 395280

GCD(976, 810) = ( 976 x 810 ) / 395280

GCD(976, 810) = 790560 / 395280

GCD(976, 810) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 634

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

LCM(2, 634) = 634

GCD(2, 634) = ( 2 x 634 ) / 634

GCD(2, 634) = 1268 / 634

GCD(2, 634) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 476

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

LCM(2, 476) = 476

GCD(2, 476) = ( 2 x 476 ) / 476

GCD(2, 476) = 952 / 476

GCD(2, 476) = 2

GCD of 976, 810, 634, 476 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 976, 810, 634, 476

1. What is the GCD of 976, 810, 634, 476?

GCD of 976, 810, 634, 476 is 2


2. Where do I get the detailed procedure to find GCD of 976, 810, 634, 476?

You can find a detailed procedure to find GCD of 976, 810, 634, 476 on our page.


3. How to find GCD of 976, 810, 634, 476 on a calculator?

You can find the GCD of 976, 810, 634, 476 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.