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 254, 612, 79, 902 i.e. 1 largest integer that divides all the numbers equally.
GCD of 254, 612, 79, 902 is 1
GCD(254, 612, 79, 902) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 254, 612, 79, 902 is 1
GCD(254, 612, 79, 902) = 1
Given Input numbers are 254, 612, 79, 902
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 254
List of positive integer divisors of 254 that divides 254 without a remainder.
1, 2, 127, 254
Divisors of 612
List of positive integer divisors of 612 that divides 612 without a remainder.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 79
List of positive integer divisors of 79 that divides 79 without a remainder.
1, 79
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 254, 612, 79, 902 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 254, 612, 79, 902 is 1.
Therefore, GCD of numbers 254, 612, 79, 902 is 1
Given Input Data is 254, 612, 79, 902
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 254 is 2 x 127
Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17
Prime Factorization of 79 is 79
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(254, 612) = 77724
GCD(254, 612) = ( 254 x 612 ) / 77724
GCD(254, 612) = 155448 / 77724
GCD(254, 612) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 79
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 79) = 158
GCD(2, 79) = ( 2 x 79 ) / 158
GCD(2, 79) = 158 / 158
GCD(2, 79) = 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 254, 612, 79, 902 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 254, 612, 79, 902?
GCD of 254, 612, 79, 902 is 1
2. Where do I get the detailed procedure to find GCD of 254, 612, 79, 902?
You can find a detailed procedure to find GCD of 254, 612, 79, 902 on our page.
3. How to find GCD of 254, 612, 79, 902 on a calculator?
You can find the GCD of 254, 612, 79, 902 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.