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 132, 556, 644, 843 i.e. 1 largest integer that divides all the numbers equally.
GCD of 132, 556, 644, 843 is 1
GCD(132, 556, 644, 843) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 132, 556, 644, 843 is 1
GCD(132, 556, 644, 843) = 1
Given Input numbers are 132, 556, 644, 843
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 132
List of positive integer divisors of 132 that divides 132 without a remainder.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 556
List of positive integer divisors of 556 that divides 556 without a remainder.
1, 2, 4, 139, 278, 556
Divisors of 644
List of positive integer divisors of 644 that divides 644 without a remainder.
1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
Divisors of 843
List of positive integer divisors of 843 that divides 843 without a remainder.
1, 3, 281, 843
Greatest Common Divisior
We found the divisors of 132, 556, 644, 843 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 556, 644, 843 is 1.
Therefore, GCD of numbers 132, 556, 644, 843 is 1
Given Input Data is 132, 556, 644, 843
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 132 is 2 x 2 x 3 x 11
Prime Factorization of 556 is 2 x 2 x 139
Prime Factorization of 644 is 2 x 2 x 7 x 23
Prime Factorization of 843 is 3 x 281
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(132, 556) = 18348
GCD(132, 556) = ( 132 x 556 ) / 18348
GCD(132, 556) = 73392 / 18348
GCD(132, 556) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 644
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 644) = 644
GCD(4, 644) = ( 4 x 644 ) / 644
GCD(4, 644) = 2576 / 644
GCD(4, 644) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 843
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 843) = 3372
GCD(4, 843) = ( 4 x 843 ) / 3372
GCD(4, 843) = 3372 / 3372
GCD(4, 843) = 1
GCD of 132, 556, 644, 843 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 132, 556, 644, 843?
GCD of 132, 556, 644, 843 is 1
2. Where do I get the detailed procedure to find GCD of 132, 556, 644, 843?
You can find a detailed procedure to find GCD of 132, 556, 644, 843 on our page.
3. How to find GCD of 132, 556, 644, 843 on a calculator?
You can find the GCD of 132, 556, 644, 843 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.