GCD of 363, 975, 626, 473 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 363, 975, 626, 473 i.e. 1 largest integer that divides all the numbers equally.

GCD of 363, 975, 626, 473 is 1

GCD(363, 975, 626, 473) = 1

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

GCD of

GCD of numbers 363, 975, 626, 473 is 1

GCD(363, 975, 626, 473) = 1

GCD of 363,975,626,473 Calculator

GCDof 363,975,626,473 is 1

Given Input numbers are 363, 975, 626, 473

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

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 626

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

1, 2, 313, 626

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Greatest Common Divisior

We found the divisors of 363, 975, 626, 473 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 975, 626, 473 is 1.

Therefore, GCD of numbers 363, 975, 626, 473 is 1

Finding GCD of 363, 975, 626, 473 using Prime Factorization

Given Input Data is 363, 975, 626, 473

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

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 626 is 2 x 313

Prime Factorization of 473 is 11 x 43

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

Finding GCD of 363, 975, 626, 473 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(363, 975) = 117975

GCD(363, 975) = ( 363 x 975 ) / 117975

GCD(363, 975) = 353925 / 117975

GCD(363, 975) = 3


Step2:

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


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 473

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

LCM(1, 473) = 473

GCD(1, 473) = ( 1 x 473 ) / 473

GCD(1, 473) = 473 / 473

GCD(1, 473) = 1

GCD of 363, 975, 626, 473 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 363, 975, 626, 473

1. What is the GCD of 363, 975, 626, 473?

GCD of 363, 975, 626, 473 is 1


2. Where do I get the detailed procedure to find GCD of 363, 975, 626, 473?

You can find a detailed procedure to find GCD of 363, 975, 626, 473 on our page.


3. How to find GCD of 363, 975, 626, 473 on a calculator?

You can find the GCD of 363, 975, 626, 473 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.