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 198, 771, 263, 908 i.e. 1 largest integer that divides all the numbers equally.
GCD of 198, 771, 263, 908 is 1
GCD(198, 771, 263, 908) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 198, 771, 263, 908 is 1
GCD(198, 771, 263, 908) = 1
Given Input numbers are 198, 771, 263, 908
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 198
List of positive integer divisors of 198 that divides 198 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 771
List of positive integer divisors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Divisors of 263
List of positive integer divisors of 263 that divides 263 without a remainder.
1, 263
Divisors of 908
List of positive integer divisors of 908 that divides 908 without a remainder.
1, 2, 4, 227, 454, 908
Greatest Common Divisior
We found the divisors of 198, 771, 263, 908 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 771, 263, 908 is 1.
Therefore, GCD of numbers 198, 771, 263, 908 is 1
Given Input Data is 198, 771, 263, 908
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 198 is 2 x 3 x 3 x 11
Prime Factorization of 771 is 3 x 257
Prime Factorization of 263 is 263
Prime Factorization of 908 is 2 x 2 x 227
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(198, 771) = 50886
GCD(198, 771) = ( 198 x 771 ) / 50886
GCD(198, 771) = 152658 / 50886
GCD(198, 771) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 263
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 263) = 789
GCD(3, 263) = ( 3 x 263 ) / 789
GCD(3, 263) = 789 / 789
GCD(3, 263) = 1
Step3:
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
GCD of 198, 771, 263, 908 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 198, 771, 263, 908?
GCD of 198, 771, 263, 908 is 1
2. Where do I get the detailed procedure to find GCD of 198, 771, 263, 908?
You can find a detailed procedure to find GCD of 198, 771, 263, 908 on our page.
3. How to find GCD of 198, 771, 263, 908 on a calculator?
You can find the GCD of 198, 771, 263, 908 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.