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 320, 759, 13, 931 i.e. 1 largest integer that divides all the numbers equally.
GCD of 320, 759, 13, 931 is 1
GCD(320, 759, 13, 931) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 320, 759, 13, 931 is 1
GCD(320, 759, 13, 931) = 1
Given Input numbers are 320, 759, 13, 931
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 320
List of positive integer divisors of 320 that divides 320 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 759
List of positive integer divisors of 759 that divides 759 without a remainder.
1, 3, 11, 23, 33, 69, 253, 759
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 931
List of positive integer divisors of 931 that divides 931 without a remainder.
1, 7, 19, 49, 133, 931
Greatest Common Divisior
We found the divisors of 320, 759, 13, 931 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 759, 13, 931 is 1.
Therefore, GCD of numbers 320, 759, 13, 931 is 1
Given Input Data is 320, 759, 13, 931
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 759 is 3 x 11 x 23
Prime Factorization of 13 is 13
Prime Factorization of 931 is 7 x 7 x 19
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(320, 759) = 242880
GCD(320, 759) = ( 320 x 759 ) / 242880
GCD(320, 759) = 242880 / 242880
GCD(320, 759) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 13) = 13
GCD(1, 13) = ( 1 x 13 ) / 13
GCD(1, 13) = 13 / 13
GCD(1, 13) = 1
Step3:
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
GCD of 320, 759, 13, 931 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 320, 759, 13, 931?
GCD of 320, 759, 13, 931 is 1
2. Where do I get the detailed procedure to find GCD of 320, 759, 13, 931?
You can find a detailed procedure to find GCD of 320, 759, 13, 931 on our page.
3. How to find GCD of 320, 759, 13, 931 on a calculator?
You can find the GCD of 320, 759, 13, 931 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.