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 813, 763, 75, 860 i.e. 1 largest integer that divides all the numbers equally.
GCD of 813, 763, 75, 860 is 1
GCD(813, 763, 75, 860) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 813, 763, 75, 860 is 1
GCD(813, 763, 75, 860) = 1
Given Input numbers are 813, 763, 75, 860
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 813
List of positive integer divisors of 813 that divides 813 without a remainder.
1, 3, 271, 813
Divisors of 763
List of positive integer divisors of 763 that divides 763 without a remainder.
1, 7, 109, 763
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 860
List of positive integer divisors of 860 that divides 860 without a remainder.
1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
Greatest Common Divisior
We found the divisors of 813, 763, 75, 860 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 813, 763, 75, 860 is 1.
Therefore, GCD of numbers 813, 763, 75, 860 is 1
Given Input Data is 813, 763, 75, 860
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 813 is 3 x 271
Prime Factorization of 763 is 7 x 109
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 860 is 2 x 2 x 5 x 43
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(813, 763) = 620319
GCD(813, 763) = ( 813 x 763 ) / 620319
GCD(813, 763) = 620319 / 620319
GCD(813, 763) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 75) = 75
GCD(1, 75) = ( 1 x 75 ) / 75
GCD(1, 75) = 75 / 75
GCD(1, 75) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 860
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 860) = 860
GCD(1, 860) = ( 1 x 860 ) / 860
GCD(1, 860) = 860 / 860
GCD(1, 860) = 1
GCD of 813, 763, 75, 860 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 813, 763, 75, 860?
GCD of 813, 763, 75, 860 is 1
2. Where do I get the detailed procedure to find GCD of 813, 763, 75, 860?
You can find a detailed procedure to find GCD of 813, 763, 75, 860 on our page.
3. How to find GCD of 813, 763, 75, 860 on a calculator?
You can find the GCD of 813, 763, 75, 860 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.