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 84, 558, 685, 188 i.e. 1 largest integer that divides all the numbers equally.
GCD of 84, 558, 685, 188 is 1
GCD(84, 558, 685, 188) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 84, 558, 685, 188 is 1
GCD(84, 558, 685, 188) = 1
Given Input numbers are 84, 558, 685, 188
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Divisors of 558
List of positive integer divisors of 558 that divides 558 without a remainder.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Divisors of 685
List of positive integer divisors of 685 that divides 685 without a remainder.
1, 5, 137, 685
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 84, 558, 685, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 558, 685, 188 is 1.
Therefore, GCD of numbers 84, 558, 685, 188 is 1
Given Input Data is 84, 558, 685, 188
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 84 is 2 x 2 x 3 x 7
Prime Factorization of 558 is 2 x 3 x 3 x 31
Prime Factorization of 685 is 5 x 137
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(84, 558) = 7812
GCD(84, 558) = ( 84 x 558 ) / 7812
GCD(84, 558) = 46872 / 7812
GCD(84, 558) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 685
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 685) = 4110
GCD(6, 685) = ( 6 x 685 ) / 4110
GCD(6, 685) = 4110 / 4110
GCD(6, 685) = 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 84, 558, 685, 188 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 84, 558, 685, 188?
GCD of 84, 558, 685, 188 is 1
2. Where do I get the detailed procedure to find GCD of 84, 558, 685, 188?
You can find a detailed procedure to find GCD of 84, 558, 685, 188 on our page.
3. How to find GCD of 84, 558, 685, 188 on a calculator?
You can find the GCD of 84, 558, 685, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.