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 184, 388, 554, 677 i.e. 1 largest integer that divides all the numbers equally.
GCD of 184, 388, 554, 677 is 1
GCD(184, 388, 554, 677) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 184, 388, 554, 677 is 1
GCD(184, 388, 554, 677) = 1
Given Input numbers are 184, 388, 554, 677
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 184
List of positive integer divisors of 184 that divides 184 without a remainder.
1, 2, 4, 8, 23, 46, 92, 184
Divisors of 388
List of positive integer divisors of 388 that divides 388 without a remainder.
1, 2, 4, 97, 194, 388
Divisors of 554
List of positive integer divisors of 554 that divides 554 without a remainder.
1, 2, 277, 554
Divisors of 677
List of positive integer divisors of 677 that divides 677 without a remainder.
1, 677
Greatest Common Divisior
We found the divisors of 184, 388, 554, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 184, 388, 554, 677 is 1.
Therefore, GCD of numbers 184, 388, 554, 677 is 1
Given Input Data is 184, 388, 554, 677
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 184 is 2 x 2 x 2 x 23
Prime Factorization of 388 is 2 x 2 x 97
Prime Factorization of 554 is 2 x 277
Prime Factorization of 677 is 677
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(184, 388) = 17848
GCD(184, 388) = ( 184 x 388 ) / 17848
GCD(184, 388) = 71392 / 17848
GCD(184, 388) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 554
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 554) = 1108
GCD(4, 554) = ( 4 x 554 ) / 1108
GCD(4, 554) = 2216 / 1108
GCD(4, 554) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 677
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 677) = 1354
GCD(2, 677) = ( 2 x 677 ) / 1354
GCD(2, 677) = 1354 / 1354
GCD(2, 677) = 1
GCD of 184, 388, 554, 677 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 184, 388, 554, 677?
GCD of 184, 388, 554, 677 is 1
2. Where do I get the detailed procedure to find GCD of 184, 388, 554, 677?
You can find a detailed procedure to find GCD of 184, 388, 554, 677 on our page.
3. How to find GCD of 184, 388, 554, 677 on a calculator?
You can find the GCD of 184, 388, 554, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.