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 355, 568, 203 i.e. 1 largest integer that divides all the numbers equally.
GCD of 355, 568, 203 is 1
GCD(355, 568, 203) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 355, 568, 203 is 1
GCD(355, 568, 203) = 1
Given Input numbers are 355, 568, 203
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 355
List of positive integer divisors of 355 that divides 355 without a remainder.
1, 5, 71, 355
Divisors of 568
List of positive integer divisors of 568 that divides 568 without a remainder.
1, 2, 4, 8, 71, 142, 284, 568
Divisors of 203
List of positive integer divisors of 203 that divides 203 without a remainder.
1, 7, 29, 203
Greatest Common Divisior
We found the divisors of 355, 568, 203 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 355, 568, 203 is 1.
Therefore, GCD of numbers 355, 568, 203 is 1
Given Input Data is 355, 568, 203
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 355 is 5 x 71
Prime Factorization of 568 is 2 x 2 x 2 x 71
Prime Factorization of 203 is 7 x 29
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(355, 568) = 2840
GCD(355, 568) = ( 355 x 568 ) / 2840
GCD(355, 568) = 201640 / 2840
GCD(355, 568) = 71
Step2:
Here we consider the GCD from the above i.e. 71 as first number and the next as 203
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(71, 203) = 14413
GCD(71, 203) = ( 71 x 203 ) / 14413
GCD(71, 203) = 14413 / 14413
GCD(71, 203) = 1
GCD of 355, 568, 203 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 355, 568, 203?
GCD of 355, 568, 203 is 1
2. Where do I get the detailed procedure to find GCD of 355, 568, 203?
You can find a detailed procedure to find GCD of 355, 568, 203 on our page.
3. How to find GCD of 355, 568, 203 on a calculator?
You can find the GCD of 355, 568, 203 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.