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 902, 277, 226, 913 i.e. 1 largest integer that divides all the numbers equally.
GCD of 902, 277, 226, 913 is 1
GCD(902, 277, 226, 913) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 902, 277, 226, 913 is 1
GCD(902, 277, 226, 913) = 1
Given Input numbers are 902, 277, 226, 913
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 902
List of positive integer divisors of 902 that divides 902 without a remainder.
1, 2, 11, 22, 41, 82, 451, 902
Divisors of 277
List of positive integer divisors of 277 that divides 277 without a remainder.
1, 277
Divisors of 226
List of positive integer divisors of 226 that divides 226 without a remainder.
1, 2, 113, 226
Divisors of 913
List of positive integer divisors of 913 that divides 913 without a remainder.
1, 11, 83, 913
Greatest Common Divisior
We found the divisors of 902, 277, 226, 913 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 902, 277, 226, 913 is 1.
Therefore, GCD of numbers 902, 277, 226, 913 is 1
Given Input Data is 902, 277, 226, 913
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 902 is 2 x 11 x 41
Prime Factorization of 277 is 277
Prime Factorization of 226 is 2 x 113
Prime Factorization of 913 is 11 x 83
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(902, 277) = 249854
GCD(902, 277) = ( 902 x 277 ) / 249854
GCD(902, 277) = 249854 / 249854
GCD(902, 277) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 226
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 226) = 226
GCD(1, 226) = ( 1 x 226 ) / 226
GCD(1, 226) = 226 / 226
GCD(1, 226) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 913
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 913) = 913
GCD(1, 913) = ( 1 x 913 ) / 913
GCD(1, 913) = 913 / 913
GCD(1, 913) = 1
GCD of 902, 277, 226, 913 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 902, 277, 226, 913?
GCD of 902, 277, 226, 913 is 1
2. Where do I get the detailed procedure to find GCD of 902, 277, 226, 913?
You can find a detailed procedure to find GCD of 902, 277, 226, 913 on our page.
3. How to find GCD of 902, 277, 226, 913 on a calculator?
You can find the GCD of 902, 277, 226, 913 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.