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 367, 307, 944, 538 i.e. 1 largest integer that divides all the numbers equally.
GCD of 367, 307, 944, 538 is 1
GCD(367, 307, 944, 538) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 367, 307, 944, 538 is 1
GCD(367, 307, 944, 538) = 1
Given Input numbers are 367, 307, 944, 538
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 367
List of positive integer divisors of 367 that divides 367 without a remainder.
1, 367
Divisors of 307
List of positive integer divisors of 307 that divides 307 without a remainder.
1, 307
Divisors of 944
List of positive integer divisors of 944 that divides 944 without a remainder.
1, 2, 4, 8, 16, 59, 118, 236, 472, 944
Divisors of 538
List of positive integer divisors of 538 that divides 538 without a remainder.
1, 2, 269, 538
Greatest Common Divisior
We found the divisors of 367, 307, 944, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 367, 307, 944, 538 is 1.
Therefore, GCD of numbers 367, 307, 944, 538 is 1
Given Input Data is 367, 307, 944, 538
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 367 is 367
Prime Factorization of 307 is 307
Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59
Prime Factorization of 538 is 2 x 269
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(367, 307) = 112669
GCD(367, 307) = ( 367 x 307 ) / 112669
GCD(367, 307) = 112669 / 112669
GCD(367, 307) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 944
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 944) = 944
GCD(1, 944) = ( 1 x 944 ) / 944
GCD(1, 944) = 944 / 944
GCD(1, 944) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 538
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 538) = 538
GCD(1, 538) = ( 1 x 538 ) / 538
GCD(1, 538) = 538 / 538
GCD(1, 538) = 1
GCD of 367, 307, 944, 538 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 367, 307, 944, 538?
GCD of 367, 307, 944, 538 is 1
2. Where do I get the detailed procedure to find GCD of 367, 307, 944, 538?
You can find a detailed procedure to find GCD of 367, 307, 944, 538 on our page.
3. How to find GCD of 367, 307, 944, 538 on a calculator?
You can find the GCD of 367, 307, 944, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.