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, 38, 985 i.e. 1 largest integer that divides all the numbers equally.
GCD of 674, 444, 38, 985 is 1
GCD(674, 444, 38, 985) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 674, 444, 38, 985 is 1
GCD(674, 444, 38, 985) = 1
Given Input numbers are 674, 444, 38, 985
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 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 985
List of positive integer divisors of 985 that divides 985 without a remainder.
1, 5, 197, 985
Greatest Common Divisior
We found the divisors of 674, 444, 38, 985 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 444, 38, 985 is 1.
Therefore, GCD of numbers 674, 444, 38, 985 is 1
Given Input Data is 674, 444, 38, 985
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 38 is 2 x 19
Prime Factorization of 985 is 5 x 197
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 38
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 38) = 38
GCD(2, 38) = ( 2 x 38 ) / 38
GCD(2, 38) = 76 / 38
GCD(2, 38) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 985
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 985) = 1970
GCD(2, 985) = ( 2 x 985 ) / 1970
GCD(2, 985) = 1970 / 1970
GCD(2, 985) = 1
GCD of 674, 444, 38, 985 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 674, 444, 38, 985?
GCD of 674, 444, 38, 985 is 1
2. Where do I get the detailed procedure to find GCD of 674, 444, 38, 985?
You can find a detailed procedure to find GCD of 674, 444, 38, 985 on our page.
3. How to find GCD of 674, 444, 38, 985 on a calculator?
You can find the GCD of 674, 444, 38, 985 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.