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 203, 116, 134, 473 i.e. 1 largest integer that divides all the numbers equally.
GCD of 203, 116, 134, 473 is 1
GCD(203, 116, 134, 473) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 203, 116, 134, 473 is 1
GCD(203, 116, 134, 473) = 1
Given Input numbers are 203, 116, 134, 473
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 203
List of positive integer divisors of 203 that divides 203 without a remainder.
1, 7, 29, 203
Divisors of 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Divisors of 134
List of positive integer divisors of 134 that divides 134 without a remainder.
1, 2, 67, 134
Divisors of 473
List of positive integer divisors of 473 that divides 473 without a remainder.
1, 11, 43, 473
Greatest Common Divisior
We found the divisors of 203, 116, 134, 473 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 203, 116, 134, 473 is 1.
Therefore, GCD of numbers 203, 116, 134, 473 is 1
Given Input Data is 203, 116, 134, 473
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 203 is 7 x 29
Prime Factorization of 116 is 2 x 2 x 29
Prime Factorization of 134 is 2 x 67
Prime Factorization of 473 is 11 x 43
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(203, 116) = 812
GCD(203, 116) = ( 203 x 116 ) / 812
GCD(203, 116) = 23548 / 812
GCD(203, 116) = 29
Step2:
Here we consider the GCD from the above i.e. 29 as first number and the next as 134
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(29, 134) = 3886
GCD(29, 134) = ( 29 x 134 ) / 3886
GCD(29, 134) = 3886 / 3886
GCD(29, 134) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 473
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 473) = 473
GCD(1, 473) = ( 1 x 473 ) / 473
GCD(1, 473) = 473 / 473
GCD(1, 473) = 1
GCD of 203, 116, 134, 473 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 203, 116, 134, 473?
GCD of 203, 116, 134, 473 is 1
2. Where do I get the detailed procedure to find GCD of 203, 116, 134, 473?
You can find a detailed procedure to find GCD of 203, 116, 134, 473 on our page.
3. How to find GCD of 203, 116, 134, 473 on a calculator?
You can find the GCD of 203, 116, 134, 473 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.