GCD of 902, 869, 37, 231 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 902, 869, 37, 231 i.e. 1 largest integer that divides all the numbers equally.

GCD of 902, 869, 37, 231 is 1

GCD(902, 869, 37, 231) = 1

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

GCD of

GCD of numbers 902, 869, 37, 231 is 1

GCD(902, 869, 37, 231) = 1

GCD of 902,869,37,231 Calculator

GCDof 902,869,37,231 is 1

Given Input numbers are 902, 869, 37, 231

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

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Greatest Common Divisior

We found the divisors of 902, 869, 37, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 902, 869, 37, 231 is 1.

Therefore, GCD of numbers 902, 869, 37, 231 is 1

Finding GCD of 902, 869, 37, 231 using Prime Factorization

Given Input Data is 902, 869, 37, 231

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

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 869 is 11 x 79

Prime Factorization of 37 is 37

Prime Factorization of 231 is 3 x 7 x 11

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

Finding GCD of 902, 869, 37, 231 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(902, 869) = 71258

GCD(902, 869) = ( 902 x 869 ) / 71258

GCD(902, 869) = 783838 / 71258

GCD(902, 869) = 11


Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 37

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

LCM(11, 37) = 407

GCD(11, 37) = ( 11 x 37 ) / 407

GCD(11, 37) = 407 / 407

GCD(11, 37) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 231

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

LCM(1, 231) = 231

GCD(1, 231) = ( 1 x 231 ) / 231

GCD(1, 231) = 231 / 231

GCD(1, 231) = 1

GCD of 902, 869, 37, 231 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 902, 869, 37, 231

1. What is the GCD of 902, 869, 37, 231?

GCD of 902, 869, 37, 231 is 1


2. Where do I get the detailed procedure to find GCD of 902, 869, 37, 231?

You can find a detailed procedure to find GCD of 902, 869, 37, 231 on our page.


3. How to find GCD of 902, 869, 37, 231 on a calculator?

You can find the GCD of 902, 869, 37, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.