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 759, 652, 89, 813 i.e. 1 largest integer that divides all the numbers equally.
GCD of 759, 652, 89, 813 is 1
GCD(759, 652, 89, 813) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 759, 652, 89, 813 is 1
GCD(759, 652, 89, 813) = 1
Given Input numbers are 759, 652, 89, 813
To find the GCD of numbers using factoring list out all the divisors of each number
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 652
List of positive integer divisors of 652 that divides 652 without a remainder.
1, 2, 4, 163, 326, 652
Divisors of 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
Divisors of 813
List of positive integer divisors of 813 that divides 813 without a remainder.
1, 3, 271, 813
Greatest Common Divisior
We found the divisors of 759, 652, 89, 813 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 759, 652, 89, 813 is 1.
Therefore, GCD of numbers 759, 652, 89, 813 is 1
Given Input Data is 759, 652, 89, 813
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 759 is 3 x 11 x 23
Prime Factorization of 652 is 2 x 2 x 163
Prime Factorization of 89 is 89
Prime Factorization of 813 is 3 x 271
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(759, 652) = 494868
GCD(759, 652) = ( 759 x 652 ) / 494868
GCD(759, 652) = 494868 / 494868
GCD(759, 652) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 89
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 89) = 89
GCD(1, 89) = ( 1 x 89 ) / 89
GCD(1, 89) = 89 / 89
GCD(1, 89) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 813
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 813) = 813
GCD(1, 813) = ( 1 x 813 ) / 813
GCD(1, 813) = 813 / 813
GCD(1, 813) = 1
GCD of 759, 652, 89, 813 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 759, 652, 89, 813?
GCD of 759, 652, 89, 813 is 1
2. Where do I get the detailed procedure to find GCD of 759, 652, 89, 813?
You can find a detailed procedure to find GCD of 759, 652, 89, 813 on our page.
3. How to find GCD of 759, 652, 89, 813 on a calculator?
You can find the GCD of 759, 652, 89, 813 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.