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 427, 228, 37, 791 i.e. 1 largest integer that divides all the numbers equally.
GCD of 427, 228, 37, 791 is 1
GCD(427, 228, 37, 791) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 427, 228, 37, 791 is 1
GCD(427, 228, 37, 791) = 1
Given Input numbers are 427, 228, 37, 791
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 427
List of positive integer divisors of 427 that divides 427 without a remainder.
1, 7, 61, 427
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 37
List of positive integer divisors of 37 that divides 37 without a remainder.
1, 37
Divisors of 791
List of positive integer divisors of 791 that divides 791 without a remainder.
1, 7, 113, 791
Greatest Common Divisior
We found the divisors of 427, 228, 37, 791 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 427, 228, 37, 791 is 1.
Therefore, GCD of numbers 427, 228, 37, 791 is 1
Given Input Data is 427, 228, 37, 791
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 427 is 7 x 61
Prime Factorization of 228 is 2 x 2 x 3 x 19
Prime Factorization of 37 is 37
Prime Factorization of 791 is 7 x 113
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(427, 228) = 97356
GCD(427, 228) = ( 427 x 228 ) / 97356
GCD(427, 228) = 97356 / 97356
GCD(427, 228) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 37
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 37) = 37
GCD(1, 37) = ( 1 x 37 ) / 37
GCD(1, 37) = 37 / 37
GCD(1, 37) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 791
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 791) = 791
GCD(1, 791) = ( 1 x 791 ) / 791
GCD(1, 791) = 791 / 791
GCD(1, 791) = 1
GCD of 427, 228, 37, 791 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 427, 228, 37, 791?
GCD of 427, 228, 37, 791 is 1
2. Where do I get the detailed procedure to find GCD of 427, 228, 37, 791?
You can find a detailed procedure to find GCD of 427, 228, 37, 791 on our page.
3. How to find GCD of 427, 228, 37, 791 on a calculator?
You can find the GCD of 427, 228, 37, 791 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.