GCD of 908, 428, 302 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 908, 428, 302 i.e. 2 largest integer that divides all the numbers equally.
GCD of 908, 428, 302 is 2
GCD(908, 428, 302) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 908, 428, 302 is 2
GCD(908, 428, 302) = 2
GCDof 908,428,302 is 2
Given Input numbers are 908, 428, 302
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 908
List of positive integer divisors of 908 that divides 908 without a remainder.
1, 2, 4, 227, 454, 908
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Divisors of 302
List of positive integer divisors of 302 that divides 302 without a remainder.
1, 2, 151, 302
Greatest Common Divisior
We found the divisors of 908, 428, 302 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 908, 428, 302 is 2.
Therefore, GCD of numbers 908, 428, 302 is 2
Given Input Data is 908, 428, 302
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 908 is 2 x 2 x 227
Prime Factorization of 428 is 2 x 2 x 107
Prime Factorization of 302 is 2 x 151
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 908, 428, 302 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(908, 428) = 97156
GCD(908, 428) = ( 908 x 428 ) / 97156
GCD(908, 428) = 388624 / 97156
GCD(908, 428) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 302
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 302) = 604
GCD(4, 302) = ( 4 x 302 ) / 604
GCD(4, 302) = 1208 / 604
GCD(4, 302) = 2
GCD of 908, 428, 302 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 908, 428, 302
1. What is the GCD of 908, 428, 302?
GCD of 908, 428, 302 is 2
2. Where do I get the detailed procedure to find GCD of 908, 428, 302?
You can find a detailed procedure to find GCD of 908, 428, 302 on our page.
3. How to find GCD of 908, 428, 302 on a calculator?
You can find the GCD of 908, 428, 302 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.