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 206, 228, 608, 237 i.e. 1 largest integer that divides all the numbers equally.
GCD of 206, 228, 608, 237 is 1
GCD(206, 228, 608, 237) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 206, 228, 608, 237 is 1
GCD(206, 228, 608, 237) = 1
Given Input numbers are 206, 228, 608, 237
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 206
List of positive integer divisors of 206 that divides 206 without a remainder.
1, 2, 103, 206
Divisors of 228
List of positive integer divisors of 228 that divides 228 without a remainder.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
Divisors of 608
List of positive integer divisors of 608 that divides 608 without a remainder.
1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
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 206, 228, 608, 237 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 206, 228, 608, 237 is 1.
Therefore, GCD of numbers 206, 228, 608, 237 is 1
Given Input Data is 206, 228, 608, 237
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 206 is 2 x 103
Prime Factorization of 228 is 2 x 2 x 3 x 19
Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19
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(206, 228) = 23484
GCD(206, 228) = ( 206 x 228 ) / 23484
GCD(206, 228) = 46968 / 23484
GCD(206, 228) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 608
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 608) = 608
GCD(2, 608) = ( 2 x 608 ) / 608
GCD(2, 608) = 1216 / 608
GCD(2, 608) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 237
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 237) = 474
GCD(2, 237) = ( 2 x 237 ) / 474
GCD(2, 237) = 474 / 474
GCD(2, 237) = 1
GCD of 206, 228, 608, 237 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 206, 228, 608, 237?
GCD of 206, 228, 608, 237 is 1
2. Where do I get the detailed procedure to find GCD of 206, 228, 608, 237?
You can find a detailed procedure to find GCD of 206, 228, 608, 237 on our page.
3. How to find GCD of 206, 228, 608, 237 on a calculator?
You can find the GCD of 206, 228, 608, 237 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.