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 223, 229, 21, 237 i.e. 1 largest integer that divides all the numbers equally.
GCD of 223, 229, 21, 237 is 1
GCD(223, 229, 21, 237) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 223, 229, 21, 237 is 1
GCD(223, 229, 21, 237) = 1
Given Input numbers are 223, 229, 21, 237
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 223
List of positive integer divisors of 223 that divides 223 without a remainder.
1, 223
Divisors of 229
List of positive integer divisors of 229 that divides 229 without a remainder.
1, 229
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 237
List of positive integer divisors of 237 that divides 237 without a remainder.
1, 3, 79, 237
Greatest Common Divisior
We found the divisors of 223, 229, 21, 237 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 223, 229, 21, 237 is 1.
Therefore, GCD of numbers 223, 229, 21, 237 is 1
Given Input Data is 223, 229, 21, 237
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 223 is 223
Prime Factorization of 229 is 229
Prime Factorization of 21 is 3 x 7
Prime Factorization of 237 is 3 x 79
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(223, 229) = 51067
GCD(223, 229) = ( 223 x 229 ) / 51067
GCD(223, 229) = 51067 / 51067
GCD(223, 229) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 21) = 21
GCD(1, 21) = ( 1 x 21 ) / 21
GCD(1, 21) = 21 / 21
GCD(1, 21) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 237
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 237) = 237
GCD(1, 237) = ( 1 x 237 ) / 237
GCD(1, 237) = 237 / 237
GCD(1, 237) = 1
GCD of 223, 229, 21, 237 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 223, 229, 21, 237?
GCD of 223, 229, 21, 237 is 1
2. Where do I get the detailed procedure to find GCD of 223, 229, 21, 237?
You can find a detailed procedure to find GCD of 223, 229, 21, 237 on our page.
3. How to find GCD of 223, 229, 21, 237 on a calculator?
You can find the GCD of 223, 229, 21, 237 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.