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 773, 227, 174, 108 i.e. 1 largest integer that divides all the numbers equally.
GCD of 773, 227, 174, 108 is 1
GCD(773, 227, 174, 108) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 773, 227, 174, 108 is 1
GCD(773, 227, 174, 108) = 1
Given Input numbers are 773, 227, 174, 108
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 773
List of positive integer divisors of 773 that divides 773 without a remainder.
1, 773
Divisors of 227
List of positive integer divisors of 227 that divides 227 without a remainder.
1, 227
Divisors of 174
List of positive integer divisors of 174 that divides 174 without a remainder.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 108
List of positive integer divisors of 108 that divides 108 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Greatest Common Divisior
We found the divisors of 773, 227, 174, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 773, 227, 174, 108 is 1.
Therefore, GCD of numbers 773, 227, 174, 108 is 1
Given Input Data is 773, 227, 174, 108
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 773 is 773
Prime Factorization of 227 is 227
Prime Factorization of 174 is 2 x 3 x 29
Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3
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(773, 227) = 175471
GCD(773, 227) = ( 773 x 227 ) / 175471
GCD(773, 227) = 175471 / 175471
GCD(773, 227) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 174
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 174) = 174
GCD(1, 174) = ( 1 x 174 ) / 174
GCD(1, 174) = 174 / 174
GCD(1, 174) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 108
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 108) = 108
GCD(1, 108) = ( 1 x 108 ) / 108
GCD(1, 108) = 108 / 108
GCD(1, 108) = 1
GCD of 773, 227, 174, 108 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 773, 227, 174, 108?
GCD of 773, 227, 174, 108 is 1
2. Where do I get the detailed procedure to find GCD of 773, 227, 174, 108?
You can find a detailed procedure to find GCD of 773, 227, 174, 108 on our page.
3. How to find GCD of 773, 227, 174, 108 on a calculator?
You can find the GCD of 773, 227, 174, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.