GCD of 902, 820, 182 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, 820, 182 i.e. 2 largest integer that divides all the numbers equally.

GCD of 902, 820, 182 is 2

GCD(902, 820, 182) = 2

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

GCD of

GCD of numbers 902, 820, 182 is 2

GCD(902, 820, 182) = 2

GCD of 902,820,182 Calculator

GCDof 902,820,182 is 2

Given Input numbers are 902, 820, 182

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 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Greatest Common Divisior

We found the divisors of 902, 820, 182 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 902, 820, 182 is 2.

Therefore, GCD of numbers 902, 820, 182 is 2

Finding GCD of 902, 820, 182 using Prime Factorization

Given Input Data is 902, 820, 182

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 820 is 2 x 2 x 5 x 41

Prime Factorization of 182 is 2 x 7 x 13

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 902, 820, 182 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, 820) = 9020

GCD(902, 820) = ( 902 x 820 ) / 9020

GCD(902, 820) = 739640 / 9020

GCD(902, 820) = 82


Step2:

Here we consider the GCD from the above i.e. 82 as first number and the next as 182

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

LCM(82, 182) = 7462

GCD(82, 182) = ( 82 x 182 ) / 7462

GCD(82, 182) = 14924 / 7462

GCD(82, 182) = 2

GCD of 902, 820, 182 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 902, 820, 182

1. What is the GCD of 902, 820, 182?

GCD of 902, 820, 182 is 2


2. Where do I get the detailed procedure to find GCD of 902, 820, 182?

You can find a detailed procedure to find GCD of 902, 820, 182 on our page.


3. How to find GCD of 902, 820, 182 on a calculator?

You can find the GCD of 902, 820, 182 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.