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 329, 957, 75, 796 i.e. 1 largest integer that divides all the numbers equally.
GCD of 329, 957, 75, 796 is 1
GCD(329, 957, 75, 796) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 329, 957, 75, 796 is 1
GCD(329, 957, 75, 796) = 1
Given Input numbers are 329, 957, 75, 796
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 329
List of positive integer divisors of 329 that divides 329 without a remainder.
1, 7, 47, 329
Divisors of 957
List of positive integer divisors of 957 that divides 957 without a remainder.
1, 3, 11, 29, 33, 87, 319, 957
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 796
List of positive integer divisors of 796 that divides 796 without a remainder.
1, 2, 4, 199, 398, 796
Greatest Common Divisior
We found the divisors of 329, 957, 75, 796 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 329, 957, 75, 796 is 1.
Therefore, GCD of numbers 329, 957, 75, 796 is 1
Given Input Data is 329, 957, 75, 796
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 329 is 7 x 47
Prime Factorization of 957 is 3 x 11 x 29
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 796 is 2 x 2 x 199
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(329, 957) = 314853
GCD(329, 957) = ( 329 x 957 ) / 314853
GCD(329, 957) = 314853 / 314853
GCD(329, 957) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 75) = 75
GCD(1, 75) = ( 1 x 75 ) / 75
GCD(1, 75) = 75 / 75
GCD(1, 75) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 796
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 796) = 796
GCD(1, 796) = ( 1 x 796 ) / 796
GCD(1, 796) = 796 / 796
GCD(1, 796) = 1
GCD of 329, 957, 75, 796 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 329, 957, 75, 796?
GCD of 329, 957, 75, 796 is 1
2. Where do I get the detailed procedure to find GCD of 329, 957, 75, 796?
You can find a detailed procedure to find GCD of 329, 957, 75, 796 on our page.
3. How to find GCD of 329, 957, 75, 796 on a calculator?
You can find the GCD of 329, 957, 75, 796 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.