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 711, 192, 13, 453 i.e. 1 largest integer that divides all the numbers equally.
GCD of 711, 192, 13, 453 is 1
GCD(711, 192, 13, 453) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 711, 192, 13, 453 is 1
GCD(711, 192, 13, 453) = 1
Given Input numbers are 711, 192, 13, 453
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 711
List of positive integer divisors of 711 that divides 711 without a remainder.
1, 3, 9, 79, 237, 711
Divisors of 192
List of positive integer divisors of 192 that divides 192 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 453
List of positive integer divisors of 453 that divides 453 without a remainder.
1, 3, 151, 453
Greatest Common Divisior
We found the divisors of 711, 192, 13, 453 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 711, 192, 13, 453 is 1.
Therefore, GCD of numbers 711, 192, 13, 453 is 1
Given Input Data is 711, 192, 13, 453
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 711 is 3 x 3 x 79
Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 13 is 13
Prime Factorization of 453 is 3 x 151
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(711, 192) = 45504
GCD(711, 192) = ( 711 x 192 ) / 45504
GCD(711, 192) = 136512 / 45504
GCD(711, 192) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 13) = 39
GCD(3, 13) = ( 3 x 13 ) / 39
GCD(3, 13) = 39 / 39
GCD(3, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 453
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 453) = 453
GCD(1, 453) = ( 1 x 453 ) / 453
GCD(1, 453) = 453 / 453
GCD(1, 453) = 1
GCD of 711, 192, 13, 453 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 711, 192, 13, 453?
GCD of 711, 192, 13, 453 is 1
2. Where do I get the detailed procedure to find GCD of 711, 192, 13, 453?
You can find a detailed procedure to find GCD of 711, 192, 13, 453 on our page.
3. How to find GCD of 711, 192, 13, 453 on a calculator?
You can find the GCD of 711, 192, 13, 453 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.