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 876, 309, 551, 810 i.e. 1 largest integer that divides all the numbers equally.
GCD of 876, 309, 551, 810 is 1
GCD(876, 309, 551, 810) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 876, 309, 551, 810 is 1
GCD(876, 309, 551, 810) = 1
Given Input numbers are 876, 309, 551, 810
To find the GCD of numbers using factoring list out all the divisors of each number
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 309
List of positive integer divisors of 309 that divides 309 without a remainder.
1, 3, 103, 309
Divisors of 551
List of positive integer divisors of 551 that divides 551 without a remainder.
1, 19, 29, 551
Divisors of 810
List of positive integer divisors of 810 that divides 810 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
Greatest Common Divisior
We found the divisors of 876, 309, 551, 810 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 876, 309, 551, 810 is 1.
Therefore, GCD of numbers 876, 309, 551, 810 is 1
Given Input Data is 876, 309, 551, 810
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 876 is 2 x 2 x 3 x 73
Prime Factorization of 309 is 3 x 103
Prime Factorization of 551 is 19 x 29
Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5
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(876, 309) = 90228
GCD(876, 309) = ( 876 x 309 ) / 90228
GCD(876, 309) = 270684 / 90228
GCD(876, 309) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 551
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 551) = 1653
GCD(3, 551) = ( 3 x 551 ) / 1653
GCD(3, 551) = 1653 / 1653
GCD(3, 551) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 810
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 810) = 810
GCD(1, 810) = ( 1 x 810 ) / 810
GCD(1, 810) = 810 / 810
GCD(1, 810) = 1
GCD of 876, 309, 551, 810 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 876, 309, 551, 810?
GCD of 876, 309, 551, 810 is 1
2. Where do I get the detailed procedure to find GCD of 876, 309, 551, 810?
You can find a detailed procedure to find GCD of 876, 309, 551, 810 on our page.
3. How to find GCD of 876, 309, 551, 810 on a calculator?
You can find the GCD of 876, 309, 551, 810 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.