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 316, 823, 36, 779 i.e. 1 largest integer that divides all the numbers equally.
GCD of 316, 823, 36, 779 is 1
GCD(316, 823, 36, 779) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 316, 823, 36, 779 is 1
GCD(316, 823, 36, 779) = 1
Given Input numbers are 316, 823, 36, 779
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 316
List of positive integer divisors of 316 that divides 316 without a remainder.
1, 2, 4, 79, 158, 316
Divisors of 823
List of positive integer divisors of 823 that divides 823 without a remainder.
1, 823
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 779
List of positive integer divisors of 779 that divides 779 without a remainder.
1, 19, 41, 779
Greatest Common Divisior
We found the divisors of 316, 823, 36, 779 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 316, 823, 36, 779 is 1.
Therefore, GCD of numbers 316, 823, 36, 779 is 1
Given Input Data is 316, 823, 36, 779
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 316 is 2 x 2 x 79
Prime Factorization of 823 is 823
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 779 is 19 x 41
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(316, 823) = 260068
GCD(316, 823) = ( 316 x 823 ) / 260068
GCD(316, 823) = 260068 / 260068
GCD(316, 823) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 36) = 36
GCD(1, 36) = ( 1 x 36 ) / 36
GCD(1, 36) = 36 / 36
GCD(1, 36) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 779
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 779) = 779
GCD(1, 779) = ( 1 x 779 ) / 779
GCD(1, 779) = 779 / 779
GCD(1, 779) = 1
GCD of 316, 823, 36, 779 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 316, 823, 36, 779?
GCD of 316, 823, 36, 779 is 1
2. Where do I get the detailed procedure to find GCD of 316, 823, 36, 779?
You can find a detailed procedure to find GCD of 316, 823, 36, 779 on our page.
3. How to find GCD of 316, 823, 36, 779 on a calculator?
You can find the GCD of 316, 823, 36, 779 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.