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, 444, 423, 189 i.e. 1 largest integer that divides all the numbers equally.
GCD of 674, 444, 423, 189 is 1
GCD(674, 444, 423, 189) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 674, 444, 423, 189 is 1
GCD(674, 444, 423, 189) = 1
Given Input numbers are 674, 444, 423, 189
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 444
List of positive integer divisors of 444 that divides 444 without a remainder.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
Divisors of 423
List of positive integer divisors of 423 that divides 423 without a remainder.
1, 3, 9, 47, 141, 423
Divisors of 189
List of positive integer divisors of 189 that divides 189 without a remainder.
1, 3, 7, 9, 21, 27, 63, 189
Greatest Common Divisior
We found the divisors of 674, 444, 423, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 444, 423, 189 is 1.
Therefore, GCD of numbers 674, 444, 423, 189 is 1
Given Input Data is 674, 444, 423, 189
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 674 is 2 x 337
Prime Factorization of 444 is 2 x 2 x 3 x 37
Prime Factorization of 423 is 3 x 3 x 47
Prime Factorization of 189 is 3 x 3 x 3 x 7
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, 444) = 149628
GCD(674, 444) = ( 674 x 444 ) / 149628
GCD(674, 444) = 299256 / 149628
GCD(674, 444) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 423
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 423) = 846
GCD(2, 423) = ( 2 x 423 ) / 846
GCD(2, 423) = 846 / 846
GCD(2, 423) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 189
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 189) = 189
GCD(1, 189) = ( 1 x 189 ) / 189
GCD(1, 189) = 189 / 189
GCD(1, 189) = 1
GCD of 674, 444, 423, 189 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 674, 444, 423, 189?
GCD of 674, 444, 423, 189 is 1
2. Where do I get the detailed procedure to find GCD of 674, 444, 423, 189?
You can find a detailed procedure to find GCD of 674, 444, 423, 189 on our page.
3. How to find GCD of 674, 444, 423, 189 on a calculator?
You can find the GCD of 674, 444, 423, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.