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, 396, 205, 549 i.e. 1 largest integer that divides all the numbers equally.
GCD of 876, 396, 205, 549 is 1
GCD(876, 396, 205, 549) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 876, 396, 205, 549 is 1
GCD(876, 396, 205, 549) = 1
Given Input numbers are 876, 396, 205, 549
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 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 205
List of positive integer divisors of 205 that divides 205 without a remainder.
1, 5, 41, 205
Divisors of 549
List of positive integer divisors of 549 that divides 549 without a remainder.
1, 3, 9, 61, 183, 549
Greatest Common Divisior
We found the divisors of 876, 396, 205, 549 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 876, 396, 205, 549 is 1.
Therefore, GCD of numbers 876, 396, 205, 549 is 1
Given Input Data is 876, 396, 205, 549
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 396 is 2 x 2 x 3 x 3 x 11
Prime Factorization of 205 is 5 x 41
Prime Factorization of 549 is 3 x 3 x 61
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, 396) = 28908
GCD(876, 396) = ( 876 x 396 ) / 28908
GCD(876, 396) = 346896 / 28908
GCD(876, 396) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 205
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 205) = 2460
GCD(12, 205) = ( 12 x 205 ) / 2460
GCD(12, 205) = 2460 / 2460
GCD(12, 205) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 549
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 549) = 549
GCD(1, 549) = ( 1 x 549 ) / 549
GCD(1, 549) = 549 / 549
GCD(1, 549) = 1
GCD of 876, 396, 205, 549 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 876, 396, 205, 549?
GCD of 876, 396, 205, 549 is 1
2. Where do I get the detailed procedure to find GCD of 876, 396, 205, 549?
You can find a detailed procedure to find GCD of 876, 396, 205, 549 on our page.
3. How to find GCD of 876, 396, 205, 549 on a calculator?
You can find the GCD of 876, 396, 205, 549 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.