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 687, 556, 52, 194 i.e. 1 largest integer that divides all the numbers equally.
GCD of 687, 556, 52, 194 is 1
GCD(687, 556, 52, 194) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 687, 556, 52, 194 is 1
GCD(687, 556, 52, 194) = 1
Given Input numbers are 687, 556, 52, 194
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
Divisors of 556
List of positive integer divisors of 556 that divides 556 without a remainder.
1, 2, 4, 139, 278, 556
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 194
List of positive integer divisors of 194 that divides 194 without a remainder.
1, 2, 97, 194
Greatest Common Divisior
We found the divisors of 687, 556, 52, 194 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 556, 52, 194 is 1.
Therefore, GCD of numbers 687, 556, 52, 194 is 1
Given Input Data is 687, 556, 52, 194
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 687 is 3 x 229
Prime Factorization of 556 is 2 x 2 x 139
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 194 is 2 x 97
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(687, 556) = 381972
GCD(687, 556) = ( 687 x 556 ) / 381972
GCD(687, 556) = 381972 / 381972
GCD(687, 556) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 52) = 52
GCD(1, 52) = ( 1 x 52 ) / 52
GCD(1, 52) = 52 / 52
GCD(1, 52) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 194
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 194) = 194
GCD(1, 194) = ( 1 x 194 ) / 194
GCD(1, 194) = 194 / 194
GCD(1, 194) = 1
GCD of 687, 556, 52, 194 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 687, 556, 52, 194?
GCD of 687, 556, 52, 194 is 1
2. Where do I get the detailed procedure to find GCD of 687, 556, 52, 194?
You can find a detailed procedure to find GCD of 687, 556, 52, 194 on our page.
3. How to find GCD of 687, 556, 52, 194 on a calculator?
You can find the GCD of 687, 556, 52, 194 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.