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 297, 722, 908, 605 i.e. 1 largest integer that divides all the numbers equally.
GCD of 297, 722, 908, 605 is 1
GCD(297, 722, 908, 605) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 297, 722, 908, 605 is 1
GCD(297, 722, 908, 605) = 1
Given Input numbers are 297, 722, 908, 605
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 297
List of positive integer divisors of 297 that divides 297 without a remainder.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 722
List of positive integer divisors of 722 that divides 722 without a remainder.
1, 2, 19, 38, 361, 722
Divisors of 908
List of positive integer divisors of 908 that divides 908 without a remainder.
1, 2, 4, 227, 454, 908
Divisors of 605
List of positive integer divisors of 605 that divides 605 without a remainder.
1, 5, 11, 55, 121, 605
Greatest Common Divisior
We found the divisors of 297, 722, 908, 605 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 297, 722, 908, 605 is 1.
Therefore, GCD of numbers 297, 722, 908, 605 is 1
Given Input Data is 297, 722, 908, 605
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 297 is 3 x 3 x 3 x 11
Prime Factorization of 722 is 2 x 19 x 19
Prime Factorization of 908 is 2 x 2 x 227
Prime Factorization of 605 is 5 x 11 x 11
The above numbers do not have any common prime factor. So GCD is 1
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(297, 722) = 214434
GCD(297, 722) = ( 297 x 722 ) / 214434
GCD(297, 722) = 214434 / 214434
GCD(297, 722) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 908
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 908) = 908
GCD(1, 908) = ( 1 x 908 ) / 908
GCD(1, 908) = 908 / 908
GCD(1, 908) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 605
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 605) = 605
GCD(1, 605) = ( 1 x 605 ) / 605
GCD(1, 605) = 605 / 605
GCD(1, 605) = 1
GCD of 297, 722, 908, 605 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 297, 722, 908, 605?
GCD of 297, 722, 908, 605 is 1
2. Where do I get the detailed procedure to find GCD of 297, 722, 908, 605?
You can find a detailed procedure to find GCD of 297, 722, 908, 605 on our page.
3. How to find GCD of 297, 722, 908, 605 on a calculator?
You can find the GCD of 297, 722, 908, 605 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.