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 894, 867, 132, 555 i.e. 3 largest integer that divides all the numbers equally.
GCD of 894, 867, 132, 555 is 3
GCD(894, 867, 132, 555) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 894, 867, 132, 555 is 3
GCD(894, 867, 132, 555) = 3
Given Input numbers are 894, 867, 132, 555
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 894
List of positive integer divisors of 894 that divides 894 without a remainder.
1, 2, 3, 6, 149, 298, 447, 894
Divisors of 867
List of positive integer divisors of 867 that divides 867 without a remainder.
1, 3, 17, 51, 289, 867
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 555
List of positive integer divisors of 555 that divides 555 without a remainder.
1, 3, 5, 15, 37, 111, 185, 555
Greatest Common Divisior
We found the divisors of 894, 867, 132, 555 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 894, 867, 132, 555 is 3.
Therefore, GCD of numbers 894, 867, 132, 555 is 3
Given Input Data is 894, 867, 132, 555
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 894 is 2 x 3 x 149
Prime Factorization of 867 is 3 x 17 x 17
Prime Factorization of 132 is 2 x 2 x 3 x 11
Prime Factorization of 555 is 3 x 5 x 37
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(894, 867) = 258366
GCD(894, 867) = ( 894 x 867 ) / 258366
GCD(894, 867) = 775098 / 258366
GCD(894, 867) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 132
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 132) = 132
GCD(3, 132) = ( 3 x 132 ) / 132
GCD(3, 132) = 396 / 132
GCD(3, 132) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 555
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 555) = 555
GCD(3, 555) = ( 3 x 555 ) / 555
GCD(3, 555) = 1665 / 555
GCD(3, 555) = 3
GCD of 894, 867, 132, 555 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 894, 867, 132, 555?
GCD of 894, 867, 132, 555 is 3
2. Where do I get the detailed procedure to find GCD of 894, 867, 132, 555?
You can find a detailed procedure to find GCD of 894, 867, 132, 555 on our page.
3. How to find GCD of 894, 867, 132, 555 on a calculator?
You can find the GCD of 894, 867, 132, 555 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.