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, 416, 189 i.e. 1 largest integer that divides all the numbers equally.
GCD of 713, 416, 189 is 1
GCD(713, 416, 189) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 713, 416, 189 is 1
GCD(713, 416, 189) = 1
Given Input numbers are 713, 416, 189
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 416
List of positive integer divisors of 416 that divides 416 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
Divisors of 189
List of positive integer divisors of 189 that divides 189 without a remainder.
1, 3, 7, 9, 21, 27, 63, 189
Greatest Common Divisior
We found the divisors of 713, 416, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 713, 416, 189 is 1.
Therefore, GCD of numbers 713, 416, 189 is 1
Given Input Data is 713, 416, 189
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 713 is 23 x 31
Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13
Prime Factorization of 189 is 3 x 3 x 3 x 7
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, 416) = 296608
GCD(713, 416) = ( 713 x 416 ) / 296608
GCD(713, 416) = 296608 / 296608
GCD(713, 416) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 189
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 189) = 189
GCD(1, 189) = ( 1 x 189 ) / 189
GCD(1, 189) = 189 / 189
GCD(1, 189) = 1
GCD of 713, 416, 189 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 713, 416, 189?
GCD of 713, 416, 189 is 1
2. Where do I get the detailed procedure to find GCD of 713, 416, 189?
You can find a detailed procedure to find GCD of 713, 416, 189 on our page.
3. How to find GCD of 713, 416, 189 on a calculator?
You can find the GCD of 713, 416, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.