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, 757, 344, 179 i.e. 1 largest integer that divides all the numbers equally.
GCD of 308, 757, 344, 179 is 1
GCD(308, 757, 344, 179) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 308, 757, 344, 179 is 1
GCD(308, 757, 344, 179) = 1
Given Input numbers are 308, 757, 344, 179
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 757
List of positive integer divisors of 757 that divides 757 without a remainder.
1, 757
Divisors of 344
List of positive integer divisors of 344 that divides 344 without a remainder.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 179
List of positive integer divisors of 179 that divides 179 without a remainder.
1, 179
Greatest Common Divisior
We found the divisors of 308, 757, 344, 179 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 308, 757, 344, 179 is 1.
Therefore, GCD of numbers 308, 757, 344, 179 is 1
Given Input Data is 308, 757, 344, 179
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 757 is 757
Prime Factorization of 344 is 2 x 2 x 2 x 43
Prime Factorization of 179 is 179
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, 757) = 233156
GCD(308, 757) = ( 308 x 757 ) / 233156
GCD(308, 757) = 233156 / 233156
GCD(308, 757) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 344
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 344) = 344
GCD(1, 344) = ( 1 x 344 ) / 344
GCD(1, 344) = 344 / 344
GCD(1, 344) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 179
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 179) = 179
GCD(1, 179) = ( 1 x 179 ) / 179
GCD(1, 179) = 179 / 179
GCD(1, 179) = 1
GCD of 308, 757, 344, 179 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 308, 757, 344, 179?
GCD of 308, 757, 344, 179 is 1
2. Where do I get the detailed procedure to find GCD of 308, 757, 344, 179?
You can find a detailed procedure to find GCD of 308, 757, 344, 179 on our page.
3. How to find GCD of 308, 757, 344, 179 on a calculator?
You can find the GCD of 308, 757, 344, 179 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.