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 716, 291, 926, 872 i.e. 1 largest integer that divides all the numbers equally.
GCD of 716, 291, 926, 872 is 1
GCD(716, 291, 926, 872) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 716, 291, 926, 872 is 1
GCD(716, 291, 926, 872) = 1
Given Input numbers are 716, 291, 926, 872
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 716
List of positive integer divisors of 716 that divides 716 without a remainder.
1, 2, 4, 179, 358, 716
Divisors of 291
List of positive integer divisors of 291 that divides 291 without a remainder.
1, 3, 97, 291
Divisors of 926
List of positive integer divisors of 926 that divides 926 without a remainder.
1, 2, 463, 926
Divisors of 872
List of positive integer divisors of 872 that divides 872 without a remainder.
1, 2, 4, 8, 109, 218, 436, 872
Greatest Common Divisior
We found the divisors of 716, 291, 926, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 716, 291, 926, 872 is 1.
Therefore, GCD of numbers 716, 291, 926, 872 is 1
Given Input Data is 716, 291, 926, 872
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 716 is 2 x 2 x 179
Prime Factorization of 291 is 3 x 97
Prime Factorization of 926 is 2 x 463
Prime Factorization of 872 is 2 x 2 x 2 x 109
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(716, 291) = 208356
GCD(716, 291) = ( 716 x 291 ) / 208356
GCD(716, 291) = 208356 / 208356
GCD(716, 291) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 926
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 926) = 926
GCD(1, 926) = ( 1 x 926 ) / 926
GCD(1, 926) = 926 / 926
GCD(1, 926) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 872
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 872) = 872
GCD(1, 872) = ( 1 x 872 ) / 872
GCD(1, 872) = 872 / 872
GCD(1, 872) = 1
GCD of 716, 291, 926, 872 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 716, 291, 926, 872?
GCD of 716, 291, 926, 872 is 1
2. Where do I get the detailed procedure to find GCD of 716, 291, 926, 872?
You can find a detailed procedure to find GCD of 716, 291, 926, 872 on our page.
3. How to find GCD of 716, 291, 926, 872 on a calculator?
You can find the GCD of 716, 291, 926, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.