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 827, 296, 84, 179 i.e. 1 largest integer that divides all the numbers equally.
GCD of 827, 296, 84, 179 is 1
GCD(827, 296, 84, 179) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 827, 296, 84, 179 is 1
GCD(827, 296, 84, 179) = 1
Given Input numbers are 827, 296, 84, 179
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 827
List of positive integer divisors of 827 that divides 827 without a remainder.
1, 827
Divisors of 296
List of positive integer divisors of 296 that divides 296 without a remainder.
1, 2, 4, 8, 37, 74, 148, 296
Divisors of 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Divisors of 179
List of positive integer divisors of 179 that divides 179 without a remainder.
1, 179
Greatest Common Divisior
We found the divisors of 827, 296, 84, 179 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 827, 296, 84, 179 is 1.
Therefore, GCD of numbers 827, 296, 84, 179 is 1
Given Input Data is 827, 296, 84, 179
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 827 is 827
Prime Factorization of 296 is 2 x 2 x 2 x 37
Prime Factorization of 84 is 2 x 2 x 3 x 7
Prime Factorization of 179 is 179
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(827, 296) = 244792
GCD(827, 296) = ( 827 x 296 ) / 244792
GCD(827, 296) = 244792 / 244792
GCD(827, 296) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 84
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 84) = 84
GCD(1, 84) = ( 1 x 84 ) / 84
GCD(1, 84) = 84 / 84
GCD(1, 84) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 179
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 179) = 179
GCD(1, 179) = ( 1 x 179 ) / 179
GCD(1, 179) = 179 / 179
GCD(1, 179) = 1
GCD of 827, 296, 84, 179 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 827, 296, 84, 179?
GCD of 827, 296, 84, 179 is 1
2. Where do I get the detailed procedure to find GCD of 827, 296, 84, 179?
You can find a detailed procedure to find GCD of 827, 296, 84, 179 on our page.
3. How to find GCD of 827, 296, 84, 179 on a calculator?
You can find the GCD of 827, 296, 84, 179 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.