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 326, 160, 716, 307 i.e. 1 largest integer that divides all the numbers equally.
GCD of 326, 160, 716, 307 is 1
GCD(326, 160, 716, 307) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 326, 160, 716, 307 is 1
GCD(326, 160, 716, 307) = 1
Given Input numbers are 326, 160, 716, 307
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 326
List of positive integer divisors of 326 that divides 326 without a remainder.
1, 2, 163, 326
Divisors of 160
List of positive integer divisors of 160 that divides 160 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Divisors of 716
List of positive integer divisors of 716 that divides 716 without a remainder.
1, 2, 4, 179, 358, 716
Divisors of 307
List of positive integer divisors of 307 that divides 307 without a remainder.
1, 307
Greatest Common Divisior
We found the divisors of 326, 160, 716, 307 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 326, 160, 716, 307 is 1.
Therefore, GCD of numbers 326, 160, 716, 307 is 1
Given Input Data is 326, 160, 716, 307
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 326 is 2 x 163
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 716 is 2 x 2 x 179
Prime Factorization of 307 is 307
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(326, 160) = 26080
GCD(326, 160) = ( 326 x 160 ) / 26080
GCD(326, 160) = 52160 / 26080
GCD(326, 160) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 716
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 716) = 716
GCD(2, 716) = ( 2 x 716 ) / 716
GCD(2, 716) = 1432 / 716
GCD(2, 716) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 307
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 307) = 614
GCD(2, 307) = ( 2 x 307 ) / 614
GCD(2, 307) = 614 / 614
GCD(2, 307) = 1
GCD of 326, 160, 716, 307 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 326, 160, 716, 307?
GCD of 326, 160, 716, 307 is 1
2. Where do I get the detailed procedure to find GCD of 326, 160, 716, 307?
You can find a detailed procedure to find GCD of 326, 160, 716, 307 on our page.
3. How to find GCD of 326, 160, 716, 307 on a calculator?
You can find the GCD of 326, 160, 716, 307 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.