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 674, 416, 229, 422 i.e. 1 largest integer that divides all the numbers equally.
GCD of 674, 416, 229, 422 is 1
GCD(674, 416, 229, 422) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 674, 416, 229, 422 is 1
GCD(674, 416, 229, 422) = 1
Given Input numbers are 674, 416, 229, 422
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 674
List of positive integer divisors of 674 that divides 674 without a remainder.
1, 2, 337, 674
Divisors of 416
List of positive integer divisors of 416 that divides 416 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
Divisors of 229
List of positive integer divisors of 229 that divides 229 without a remainder.
1, 229
Divisors of 422
List of positive integer divisors of 422 that divides 422 without a remainder.
1, 2, 211, 422
Greatest Common Divisior
We found the divisors of 674, 416, 229, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 416, 229, 422 is 1.
Therefore, GCD of numbers 674, 416, 229, 422 is 1
Given Input Data is 674, 416, 229, 422
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 674 is 2 x 337
Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13
Prime Factorization of 229 is 229
Prime Factorization of 422 is 2 x 211
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(674, 416) = 140192
GCD(674, 416) = ( 674 x 416 ) / 140192
GCD(674, 416) = 280384 / 140192
GCD(674, 416) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 229
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 229) = 458
GCD(2, 229) = ( 2 x 229 ) / 458
GCD(2, 229) = 458 / 458
GCD(2, 229) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 422
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 422) = 422
GCD(1, 422) = ( 1 x 422 ) / 422
GCD(1, 422) = 422 / 422
GCD(1, 422) = 1
GCD of 674, 416, 229, 422 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 674, 416, 229, 422?
GCD of 674, 416, 229, 422 is 1
2. Where do I get the detailed procedure to find GCD of 674, 416, 229, 422?
You can find a detailed procedure to find GCD of 674, 416, 229, 422 on our page.
3. How to find GCD of 674, 416, 229, 422 on a calculator?
You can find the GCD of 674, 416, 229, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.