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 308, 172, 939, 922 i.e. 1 largest integer that divides all the numbers equally.
GCD of 308, 172, 939, 922 is 1
GCD(308, 172, 939, 922) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 308, 172, 939, 922 is 1
GCD(308, 172, 939, 922) = 1
Given Input numbers are 308, 172, 939, 922
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 308
List of positive integer divisors of 308 that divides 308 without a remainder.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 172
List of positive integer divisors of 172 that divides 172 without a remainder.
1, 2, 4, 43, 86, 172
Divisors of 939
List of positive integer divisors of 939 that divides 939 without a remainder.
1, 3, 313, 939
Divisors of 922
List of positive integer divisors of 922 that divides 922 without a remainder.
1, 2, 461, 922
Greatest Common Divisior
We found the divisors of 308, 172, 939, 922 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 308, 172, 939, 922 is 1.
Therefore, GCD of numbers 308, 172, 939, 922 is 1
Given Input Data is 308, 172, 939, 922
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 308 is 2 x 2 x 7 x 11
Prime Factorization of 172 is 2 x 2 x 43
Prime Factorization of 939 is 3 x 313
Prime Factorization of 922 is 2 x 461
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(308, 172) = 13244
GCD(308, 172) = ( 308 x 172 ) / 13244
GCD(308, 172) = 52976 / 13244
GCD(308, 172) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 939
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 939) = 3756
GCD(4, 939) = ( 4 x 939 ) / 3756
GCD(4, 939) = 3756 / 3756
GCD(4, 939) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 922
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 922) = 922
GCD(1, 922) = ( 1 x 922 ) / 922
GCD(1, 922) = 922 / 922
GCD(1, 922) = 1
GCD of 308, 172, 939, 922 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 308, 172, 939, 922?
GCD of 308, 172, 939, 922 is 1
2. Where do I get the detailed procedure to find GCD of 308, 172, 939, 922?
You can find a detailed procedure to find GCD of 308, 172, 939, 922 on our page.
3. How to find GCD of 308, 172, 939, 922 on a calculator?
You can find the GCD of 308, 172, 939, 922 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.