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 229, 873, 977, 188 i.e. 1 largest integer that divides all the numbers equally.
GCD of 229, 873, 977, 188 is 1
GCD(229, 873, 977, 188) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 229, 873, 977, 188 is 1
GCD(229, 873, 977, 188) = 1
Given Input numbers are 229, 873, 977, 188
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 229
List of positive integer divisors of 229 that divides 229 without a remainder.
1, 229
Divisors of 873
List of positive integer divisors of 873 that divides 873 without a remainder.
1, 3, 9, 97, 291, 873
Divisors of 977
List of positive integer divisors of 977 that divides 977 without a remainder.
1, 977
Divisors of 188
List of positive integer divisors of 188 that divides 188 without a remainder.
1, 2, 4, 47, 94, 188
Greatest Common Divisior
We found the divisors of 229, 873, 977, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 229, 873, 977, 188 is 1.
Therefore, GCD of numbers 229, 873, 977, 188 is 1
Given Input Data is 229, 873, 977, 188
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 229 is 229
Prime Factorization of 873 is 3 x 3 x 97
Prime Factorization of 977 is 977
Prime Factorization of 188 is 2 x 2 x 47
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(229, 873) = 199917
GCD(229, 873) = ( 229 x 873 ) / 199917
GCD(229, 873) = 199917 / 199917
GCD(229, 873) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 977
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 977) = 977
GCD(1, 977) = ( 1 x 977 ) / 977
GCD(1, 977) = 977 / 977
GCD(1, 977) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 188
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 188) = 188
GCD(1, 188) = ( 1 x 188 ) / 188
GCD(1, 188) = 188 / 188
GCD(1, 188) = 1
GCD of 229, 873, 977, 188 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 229, 873, 977, 188?
GCD of 229, 873, 977, 188 is 1
2. Where do I get the detailed procedure to find GCD of 229, 873, 977, 188?
You can find a detailed procedure to find GCD of 229, 873, 977, 188 on our page.
3. How to find GCD of 229, 873, 977, 188 on a calculator?
You can find the GCD of 229, 873, 977, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.