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 764, 872, 565 i.e. 1 largest integer that divides all the numbers equally.
GCD of 764, 872, 565 is 1
GCD(764, 872, 565) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 764, 872, 565 is 1
GCD(764, 872, 565) = 1
Given Input numbers are 764, 872, 565
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Divisors of 872
List of positive integer divisors of 872 that divides 872 without a remainder.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 565
List of positive integer divisors of 565 that divides 565 without a remainder.
1, 5, 113, 565
Greatest Common Divisior
We found the divisors of 764, 872, 565 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 764, 872, 565 is 1.
Therefore, GCD of numbers 764, 872, 565 is 1
Given Input Data is 764, 872, 565
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 764 is 2 x 2 x 191
Prime Factorization of 872 is 2 x 2 x 2 x 109
Prime Factorization of 565 is 5 x 113
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(764, 872) = 166552
GCD(764, 872) = ( 764 x 872 ) / 166552
GCD(764, 872) = 666208 / 166552
GCD(764, 872) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 565
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 565) = 2260
GCD(4, 565) = ( 4 x 565 ) / 2260
GCD(4, 565) = 2260 / 2260
GCD(4, 565) = 1
GCD of 764, 872, 565 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 764, 872, 565?
GCD of 764, 872, 565 is 1
2. Where do I get the detailed procedure to find GCD of 764, 872, 565?
You can find a detailed procedure to find GCD of 764, 872, 565 on our page.
3. How to find GCD of 764, 872, 565 on a calculator?
You can find the GCD of 764, 872, 565 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.