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 713, 183, 89, 428 i.e. 1 largest integer that divides all the numbers equally.
GCD of 713, 183, 89, 428 is 1
GCD(713, 183, 89, 428) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 713, 183, 89, 428 is 1
GCD(713, 183, 89, 428) = 1
Given Input numbers are 713, 183, 89, 428
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 713
List of positive integer divisors of 713 that divides 713 without a remainder.
1, 23, 31, 713
Divisors of 183
List of positive integer divisors of 183 that divides 183 without a remainder.
1, 3, 61, 183
Divisors of 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Greatest Common Divisior
We found the divisors of 713, 183, 89, 428 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 713, 183, 89, 428 is 1.
Therefore, GCD of numbers 713, 183, 89, 428 is 1
Given Input Data is 713, 183, 89, 428
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 713 is 23 x 31
Prime Factorization of 183 is 3 x 61
Prime Factorization of 89 is 89
Prime Factorization of 428 is 2 x 2 x 107
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(713, 183) = 130479
GCD(713, 183) = ( 713 x 183 ) / 130479
GCD(713, 183) = 130479 / 130479
GCD(713, 183) = 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 428
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 428) = 428
GCD(1, 428) = ( 1 x 428 ) / 428
GCD(1, 428) = 428 / 428
GCD(1, 428) = 1
GCD of 713, 183, 89, 428 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 713, 183, 89, 428?
GCD of 713, 183, 89, 428 is 1
2. Where do I get the detailed procedure to find GCD of 713, 183, 89, 428?
You can find a detailed procedure to find GCD of 713, 183, 89, 428 on our page.
3. How to find GCD of 713, 183, 89, 428 on a calculator?
You can find the GCD of 713, 183, 89, 428 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.