GCD of 875, 209, 472, 356 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 875, 209, 472, 356 i.e. 1 largest integer that divides all the numbers equally.

GCD of 875, 209, 472, 356 is 1

GCD(875, 209, 472, 356) = 1

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

GCD of

GCD of numbers 875, 209, 472, 356 is 1

GCD(875, 209, 472, 356) = 1

GCD of 875,209,472,356 Calculator

GCDof 875,209,472,356 is 1

Given Input numbers are 875, 209, 472, 356

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

Divisors of 875

List of positive integer divisors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

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 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Greatest Common Divisior

We found the divisors of 875, 209, 472, 356 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 875, 209, 472, 356 is 1.

Therefore, GCD of numbers 875, 209, 472, 356 is 1

Finding GCD of 875, 209, 472, 356 using Prime Factorization

Given Input Data is 875, 209, 472, 356

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

Prime Factorization of 875 is 5 x 5 x 5 x 7

Prime Factorization of 209 is 11 x 19

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

Prime Factorization of 356 is 2 x 2 x 89

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

Finding GCD of 875, 209, 472, 356 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(875, 209) = 182875

GCD(875, 209) = ( 875 x 209 ) / 182875

GCD(875, 209) = 182875 / 182875

GCD(875, 209) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 472

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

LCM(1, 472) = 472

GCD(1, 472) = ( 1 x 472 ) / 472

GCD(1, 472) = 472 / 472

GCD(1, 472) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 356

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

LCM(1, 356) = 356

GCD(1, 356) = ( 1 x 356 ) / 356

GCD(1, 356) = 356 / 356

GCD(1, 356) = 1

GCD of 875, 209, 472, 356 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 875, 209, 472, 356

1. What is the GCD of 875, 209, 472, 356?

GCD of 875, 209, 472, 356 is 1


2. Where do I get the detailed procedure to find GCD of 875, 209, 472, 356?

You can find a detailed procedure to find GCD of 875, 209, 472, 356 on our page.


3. How to find GCD of 875, 209, 472, 356 on a calculator?

You can find the GCD of 875, 209, 472, 356 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.