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 279, 498, 188 i.e. 1 largest integer that divides all the numbers equally.
GCD of 279, 498, 188 is 1
GCD(279, 498, 188) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 279, 498, 188 is 1
GCD(279, 498, 188) = 1
Given Input numbers are 279, 498, 188
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 279
List of positive integer divisors of 279 that divides 279 without a remainder.
1, 3, 9, 31, 93, 279
Divisors of 498
List of positive integer divisors of 498 that divides 498 without a remainder.
1, 2, 3, 6, 83, 166, 249, 498
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 279, 498, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 279, 498, 188 is 1.
Therefore, GCD of numbers 279, 498, 188 is 1
Given Input Data is 279, 498, 188
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 279 is 3 x 3 x 31
Prime Factorization of 498 is 2 x 3 x 83
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(279, 498) = 46314
GCD(279, 498) = ( 279 x 498 ) / 46314
GCD(279, 498) = 138942 / 46314
GCD(279, 498) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 188
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 188) = 564
GCD(3, 188) = ( 3 x 188 ) / 564
GCD(3, 188) = 564 / 564
GCD(3, 188) = 1
GCD of 279, 498, 188 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 279, 498, 188?
GCD of 279, 498, 188 is 1
2. Where do I get the detailed procedure to find GCD of 279, 498, 188?
You can find a detailed procedure to find GCD of 279, 498, 188 on our page.
3. How to find GCD of 279, 498, 188 on a calculator?
You can find the GCD of 279, 498, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.