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 422, 226, 313, 786 i.e. 1 largest integer that divides all the numbers equally.
GCD of 422, 226, 313, 786 is 1
GCD(422, 226, 313, 786) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 422, 226, 313, 786 is 1
GCD(422, 226, 313, 786) = 1
Given Input numbers are 422, 226, 313, 786
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 422
List of positive integer divisors of 422 that divides 422 without a remainder.
1, 2, 211, 422
Divisors of 226
List of positive integer divisors of 226 that divides 226 without a remainder.
1, 2, 113, 226
Divisors of 313
List of positive integer divisors of 313 that divides 313 without a remainder.
1, 313
Divisors of 786
List of positive integer divisors of 786 that divides 786 without a remainder.
1, 2, 3, 6, 131, 262, 393, 786
Greatest Common Divisior
We found the divisors of 422, 226, 313, 786 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 226, 313, 786 is 1.
Therefore, GCD of numbers 422, 226, 313, 786 is 1
Given Input Data is 422, 226, 313, 786
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 422 is 2 x 211
Prime Factorization of 226 is 2 x 113
Prime Factorization of 313 is 313
Prime Factorization of 786 is 2 x 3 x 131
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(422, 226) = 47686
GCD(422, 226) = ( 422 x 226 ) / 47686
GCD(422, 226) = 95372 / 47686
GCD(422, 226) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 313
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 313) = 626
GCD(2, 313) = ( 2 x 313 ) / 626
GCD(2, 313) = 626 / 626
GCD(2, 313) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 786
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 786) = 786
GCD(1, 786) = ( 1 x 786 ) / 786
GCD(1, 786) = 786 / 786
GCD(1, 786) = 1
GCD of 422, 226, 313, 786 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 422, 226, 313, 786?
GCD of 422, 226, 313, 786 is 1
2. Where do I get the detailed procedure to find GCD of 422, 226, 313, 786?
You can find a detailed procedure to find GCD of 422, 226, 313, 786 on our page.
3. How to find GCD of 422, 226, 313, 786 on a calculator?
You can find the GCD of 422, 226, 313, 786 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.