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 556, 876, 168 i.e. 4 largest integer that divides all the numbers equally.
GCD of 556, 876, 168 is 4
GCD(556, 876, 168) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 556, 876, 168 is 4
GCD(556, 876, 168) = 4
Given Input numbers are 556, 876, 168
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 556
List of positive integer divisors of 556 that divides 556 without a remainder.
1, 2, 4, 139, 278, 556
Divisors of 876
List of positive integer divisors of 876 that divides 876 without a remainder.
1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
Divisors of 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Greatest Common Divisior
We found the divisors of 556, 876, 168 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 556, 876, 168 is 4.
Therefore, GCD of numbers 556, 876, 168 is 4
Given Input Data is 556, 876, 168
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 556 is 2 x 2 x 139
Prime Factorization of 876 is 2 x 2 x 3 x 73
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
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(556, 876) = 121764
GCD(556, 876) = ( 556 x 876 ) / 121764
GCD(556, 876) = 487056 / 121764
GCD(556, 876) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 168
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 168) = 168
GCD(4, 168) = ( 4 x 168 ) / 168
GCD(4, 168) = 672 / 168
GCD(4, 168) = 4
GCD of 556, 876, 168 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 556, 876, 168?
GCD of 556, 876, 168 is 4
2. Where do I get the detailed procedure to find GCD of 556, 876, 168?
You can find a detailed procedure to find GCD of 556, 876, 168 on our page.
3. How to find GCD of 556, 876, 168 on a calculator?
You can find the GCD of 556, 876, 168 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.