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 423, 214, 903, 563 i.e. 1 largest integer that divides all the numbers equally.
GCD of 423, 214, 903, 563 is 1
GCD(423, 214, 903, 563) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 423, 214, 903, 563 is 1
GCD(423, 214, 903, 563) = 1
Given Input numbers are 423, 214, 903, 563
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 423
List of positive integer divisors of 423 that divides 423 without a remainder.
1, 3, 9, 47, 141, 423
Divisors of 214
List of positive integer divisors of 214 that divides 214 without a remainder.
1, 2, 107, 214
Divisors of 903
List of positive integer divisors of 903 that divides 903 without a remainder.
1, 3, 7, 21, 43, 129, 301, 903
Divisors of 563
List of positive integer divisors of 563 that divides 563 without a remainder.
1, 563
Greatest Common Divisior
We found the divisors of 423, 214, 903, 563 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 423, 214, 903, 563 is 1.
Therefore, GCD of numbers 423, 214, 903, 563 is 1
Given Input Data is 423, 214, 903, 563
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 423 is 3 x 3 x 47
Prime Factorization of 214 is 2 x 107
Prime Factorization of 903 is 3 x 7 x 43
Prime Factorization of 563 is 563
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(423, 214) = 90522
GCD(423, 214) = ( 423 x 214 ) / 90522
GCD(423, 214) = 90522 / 90522
GCD(423, 214) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 903
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 903) = 903
GCD(1, 903) = ( 1 x 903 ) / 903
GCD(1, 903) = 903 / 903
GCD(1, 903) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 563
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 563) = 563
GCD(1, 563) = ( 1 x 563 ) / 563
GCD(1, 563) = 563 / 563
GCD(1, 563) = 1
GCD of 423, 214, 903, 563 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 423, 214, 903, 563?
GCD of 423, 214, 903, 563 is 1
2. Where do I get the detailed procedure to find GCD of 423, 214, 903, 563?
You can find a detailed procedure to find GCD of 423, 214, 903, 563 on our page.
3. How to find GCD of 423, 214, 903, 563 on a calculator?
You can find the GCD of 423, 214, 903, 563 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.