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 796, 103, 513, 760 i.e. 1 largest integer that divides all the numbers equally.
GCD of 796, 103, 513, 760 is 1
GCD(796, 103, 513, 760) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 796, 103, 513, 760 is 1
GCD(796, 103, 513, 760) = 1
Given Input numbers are 796, 103, 513, 760
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 796
List of positive integer divisors of 796 that divides 796 without a remainder.
1, 2, 4, 199, 398, 796
Divisors of 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Divisors of 513
List of positive integer divisors of 513 that divides 513 without a remainder.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 760
List of positive integer divisors of 760 that divides 760 without a remainder.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Greatest Common Divisior
We found the divisors of 796, 103, 513, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 796, 103, 513, 760 is 1.
Therefore, GCD of numbers 796, 103, 513, 760 is 1
Given Input Data is 796, 103, 513, 760
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 796 is 2 x 2 x 199
Prime Factorization of 103 is 103
Prime Factorization of 513 is 3 x 3 x 3 x 19
Prime Factorization of 760 is 2 x 2 x 2 x 5 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(796, 103) = 81988
GCD(796, 103) = ( 796 x 103 ) / 81988
GCD(796, 103) = 81988 / 81988
GCD(796, 103) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 513
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 513) = 513
GCD(1, 513) = ( 1 x 513 ) / 513
GCD(1, 513) = 513 / 513
GCD(1, 513) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 760
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 760) = 760
GCD(1, 760) = ( 1 x 760 ) / 760
GCD(1, 760) = 760 / 760
GCD(1, 760) = 1
GCD of 796, 103, 513, 760 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 796, 103, 513, 760?
GCD of 796, 103, 513, 760 is 1
2. Where do I get the detailed procedure to find GCD of 796, 103, 513, 760?
You can find a detailed procedure to find GCD of 796, 103, 513, 760 on our page.
3. How to find GCD of 796, 103, 513, 760 on a calculator?
You can find the GCD of 796, 103, 513, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.