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 713, 512, 931, 764 i.e. 1 largest integer that divides all the numbers equally.
GCD of 713, 512, 931, 764 is 1
GCD(713, 512, 931, 764) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 713, 512, 931, 764 is 1
GCD(713, 512, 931, 764) = 1
Given Input numbers are 713, 512, 931, 764
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 713
List of positive integer divisors of 713 that divides 713 without a remainder.
1, 23, 31, 713
Divisors of 512
List of positive integer divisors of 512 that divides 512 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
Divisors of 931
List of positive integer divisors of 931 that divides 931 without a remainder.
1, 7, 19, 49, 133, 931
Divisors of 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Greatest Common Divisior
We found the divisors of 713, 512, 931, 764 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 713, 512, 931, 764 is 1.
Therefore, GCD of numbers 713, 512, 931, 764 is 1
Given Input Data is 713, 512, 931, 764
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 713 is 23 x 31
Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 931 is 7 x 7 x 19
Prime Factorization of 764 is 2 x 2 x 191
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(713, 512) = 365056
GCD(713, 512) = ( 713 x 512 ) / 365056
GCD(713, 512) = 365056 / 365056
GCD(713, 512) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 931
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 931) = 931
GCD(1, 931) = ( 1 x 931 ) / 931
GCD(1, 931) = 931 / 931
GCD(1, 931) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 764
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 764) = 764
GCD(1, 764) = ( 1 x 764 ) / 764
GCD(1, 764) = 764 / 764
GCD(1, 764) = 1
GCD of 713, 512, 931, 764 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 713, 512, 931, 764?
GCD of 713, 512, 931, 764 is 1
2. Where do I get the detailed procedure to find GCD of 713, 512, 931, 764?
You can find a detailed procedure to find GCD of 713, 512, 931, 764 on our page.
3. How to find GCD of 713, 512, 931, 764 on a calculator?
You can find the GCD of 713, 512, 931, 764 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.