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 197, 269, 30, 902 i.e. 1 largest integer that divides all the numbers equally.
GCD of 197, 269, 30, 902 is 1
GCD(197, 269, 30, 902) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 197, 269, 30, 902 is 1
GCD(197, 269, 30, 902) = 1
Given Input numbers are 197, 269, 30, 902
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 197
List of positive integer divisors of 197 that divides 197 without a remainder.
1, 197
Divisors of 269
List of positive integer divisors of 269 that divides 269 without a remainder.
1, 269
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 902
List of positive integer divisors of 902 that divides 902 without a remainder.
1, 2, 11, 22, 41, 82, 451, 902
Greatest Common Divisior
We found the divisors of 197, 269, 30, 902 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 197, 269, 30, 902 is 1.
Therefore, GCD of numbers 197, 269, 30, 902 is 1
Given Input Data is 197, 269, 30, 902
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 197 is 197
Prime Factorization of 269 is 269
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 902 is 2 x 11 x 41
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(197, 269) = 52993
GCD(197, 269) = ( 197 x 269 ) / 52993
GCD(197, 269) = 52993 / 52993
GCD(197, 269) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 30
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 30) = 30
GCD(1, 30) = ( 1 x 30 ) / 30
GCD(1, 30) = 30 / 30
GCD(1, 30) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 902
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 902) = 902
GCD(1, 902) = ( 1 x 902 ) / 902
GCD(1, 902) = 902 / 902
GCD(1, 902) = 1
GCD of 197, 269, 30, 902 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 197, 269, 30, 902?
GCD of 197, 269, 30, 902 is 1
2. Where do I get the detailed procedure to find GCD of 197, 269, 30, 902?
You can find a detailed procedure to find GCD of 197, 269, 30, 902 on our page.
3. How to find GCD of 197, 269, 30, 902 on a calculator?
You can find the GCD of 197, 269, 30, 902 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.