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, 478, 61, 291 i.e. 1 largest integer that divides all the numbers equally.
GCD of 228, 478, 61, 291 is 1
GCD(228, 478, 61, 291) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 228, 478, 61, 291 is 1
GCD(228, 478, 61, 291) = 1
Given Input numbers are 228, 478, 61, 291
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 478
List of positive integer divisors of 478 that divides 478 without a remainder.
1, 2, 239, 478
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 291
List of positive integer divisors of 291 that divides 291 without a remainder.
1, 3, 97, 291
Greatest Common Divisior
We found the divisors of 228, 478, 61, 291 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 478, 61, 291 is 1.
Therefore, GCD of numbers 228, 478, 61, 291 is 1
Given Input Data is 228, 478, 61, 291
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 478 is 2 x 239
Prime Factorization of 61 is 61
Prime Factorization of 291 is 3 x 97
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, 478) = 54492
GCD(228, 478) = ( 228 x 478 ) / 54492
GCD(228, 478) = 108984 / 54492
GCD(228, 478) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 61) = 122
GCD(2, 61) = ( 2 x 61 ) / 122
GCD(2, 61) = 122 / 122
GCD(2, 61) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 291
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 291) = 291
GCD(1, 291) = ( 1 x 291 ) / 291
GCD(1, 291) = 291 / 291
GCD(1, 291) = 1
GCD of 228, 478, 61, 291 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 228, 478, 61, 291?
GCD of 228, 478, 61, 291 is 1
2. Where do I get the detailed procedure to find GCD of 228, 478, 61, 291?
You can find a detailed procedure to find GCD of 228, 478, 61, 291 on our page.
3. How to find GCD of 228, 478, 61, 291 on a calculator?
You can find the GCD of 228, 478, 61, 291 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.