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 284, 871, 382, 723 i.e. 1 largest integer that divides all the numbers equally.
GCD of 284, 871, 382, 723 is 1
GCD(284, 871, 382, 723) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 284, 871, 382, 723 is 1
GCD(284, 871, 382, 723) = 1
Given Input numbers are 284, 871, 382, 723
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 284
List of positive integer divisors of 284 that divides 284 without a remainder.
1, 2, 4, 71, 142, 284
Divisors of 871
List of positive integer divisors of 871 that divides 871 without a remainder.
1, 13, 67, 871
Divisors of 382
List of positive integer divisors of 382 that divides 382 without a remainder.
1, 2, 191, 382
Divisors of 723
List of positive integer divisors of 723 that divides 723 without a remainder.
1, 3, 241, 723
Greatest Common Divisior
We found the divisors of 284, 871, 382, 723 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 284, 871, 382, 723 is 1.
Therefore, GCD of numbers 284, 871, 382, 723 is 1
Given Input Data is 284, 871, 382, 723
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 284 is 2 x 2 x 71
Prime Factorization of 871 is 13 x 67
Prime Factorization of 382 is 2 x 191
Prime Factorization of 723 is 3 x 241
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(284, 871) = 247364
GCD(284, 871) = ( 284 x 871 ) / 247364
GCD(284, 871) = 247364 / 247364
GCD(284, 871) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 382
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 382) = 382
GCD(1, 382) = ( 1 x 382 ) / 382
GCD(1, 382) = 382 / 382
GCD(1, 382) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 723
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 723) = 723
GCD(1, 723) = ( 1 x 723 ) / 723
GCD(1, 723) = 723 / 723
GCD(1, 723) = 1
GCD of 284, 871, 382, 723 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 284, 871, 382, 723?
GCD of 284, 871, 382, 723 is 1
2. Where do I get the detailed procedure to find GCD of 284, 871, 382, 723?
You can find a detailed procedure to find GCD of 284, 871, 382, 723 on our page.
3. How to find GCD of 284, 871, 382, 723 on a calculator?
You can find the GCD of 284, 871, 382, 723 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.