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 228, 655, 61, 398 i.e. 1 largest integer that divides all the numbers equally.
GCD of 228, 655, 61, 398 is 1
GCD(228, 655, 61, 398) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 228, 655, 61, 398 is 1
GCD(228, 655, 61, 398) = 1
Given Input numbers are 228, 655, 61, 398
To find the GCD of numbers using factoring list out all the divisors of each number
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 655
List of positive integer divisors of 655 that divides 655 without a remainder.
1, 5, 131, 655
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 398
List of positive integer divisors of 398 that divides 398 without a remainder.
1, 2, 199, 398
Greatest Common Divisior
We found the divisors of 228, 655, 61, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 655, 61, 398 is 1.
Therefore, GCD of numbers 228, 655, 61, 398 is 1
Given Input Data is 228, 655, 61, 398
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 228 is 2 x 2 x 3 x 19
Prime Factorization of 655 is 5 x 131
Prime Factorization of 61 is 61
Prime Factorization of 398 is 2 x 199
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(228, 655) = 149340
GCD(228, 655) = ( 228 x 655 ) / 149340
GCD(228, 655) = 149340 / 149340
GCD(228, 655) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 61) = 61
GCD(1, 61) = ( 1 x 61 ) / 61
GCD(1, 61) = 61 / 61
GCD(1, 61) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 398
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 398) = 398
GCD(1, 398) = ( 1 x 398 ) / 398
GCD(1, 398) = 398 / 398
GCD(1, 398) = 1
GCD of 228, 655, 61, 398 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 228, 655, 61, 398?
GCD of 228, 655, 61, 398 is 1
2. Where do I get the detailed procedure to find GCD of 228, 655, 61, 398?
You can find a detailed procedure to find GCD of 228, 655, 61, 398 on our page.
3. How to find GCD of 228, 655, 61, 398 on a calculator?
You can find the GCD of 228, 655, 61, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.