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, 820, 623, 367 i.e. 1 largest integer that divides all the numbers equally.
GCD of 876, 820, 623, 367 is 1
GCD(876, 820, 623, 367) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 876, 820, 623, 367 is 1
GCD(876, 820, 623, 367) = 1
Given Input numbers are 876, 820, 623, 367
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 820
List of positive integer divisors of 820 that divides 820 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 623
List of positive integer divisors of 623 that divides 623 without a remainder.
1, 7, 89, 623
Divisors of 367
List of positive integer divisors of 367 that divides 367 without a remainder.
1, 367
Greatest Common Divisior
We found the divisors of 876, 820, 623, 367 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 876, 820, 623, 367 is 1.
Therefore, GCD of numbers 876, 820, 623, 367 is 1
Given Input Data is 876, 820, 623, 367
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 820 is 2 x 2 x 5 x 41
Prime Factorization of 623 is 7 x 89
Prime Factorization of 367 is 367
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, 820) = 179580
GCD(876, 820) = ( 876 x 820 ) / 179580
GCD(876, 820) = 718320 / 179580
GCD(876, 820) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 623
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 623) = 2492
GCD(4, 623) = ( 4 x 623 ) / 2492
GCD(4, 623) = 2492 / 2492
GCD(4, 623) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 367
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 367) = 367
GCD(1, 367) = ( 1 x 367 ) / 367
GCD(1, 367) = 367 / 367
GCD(1, 367) = 1
GCD of 876, 820, 623, 367 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 876, 820, 623, 367?
GCD of 876, 820, 623, 367 is 1
2. Where do I get the detailed procedure to find GCD of 876, 820, 623, 367?
You can find a detailed procedure to find GCD of 876, 820, 623, 367 on our page.
3. How to find GCD of 876, 820, 623, 367 on a calculator?
You can find the GCD of 876, 820, 623, 367 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.