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, 223, 684, 832 i.e. 1 largest integer that divides all the numbers equally.
GCD of 316, 223, 684, 832 is 1
GCD(316, 223, 684, 832) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 316, 223, 684, 832 is 1
GCD(316, 223, 684, 832) = 1
Given Input numbers are 316, 223, 684, 832
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 223
List of positive integer divisors of 223 that divides 223 without a remainder.
1, 223
Divisors of 684
List of positive integer divisors of 684 that divides 684 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 832
List of positive integer divisors of 832 that divides 832 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
Greatest Common Divisior
We found the divisors of 316, 223, 684, 832 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 316, 223, 684, 832 is 1.
Therefore, GCD of numbers 316, 223, 684, 832 is 1
Given Input Data is 316, 223, 684, 832
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 223 is 223
Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19
Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13
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, 223) = 70468
GCD(316, 223) = ( 316 x 223 ) / 70468
GCD(316, 223) = 70468 / 70468
GCD(316, 223) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 684
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 684) = 684
GCD(1, 684) = ( 1 x 684 ) / 684
GCD(1, 684) = 684 / 684
GCD(1, 684) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 832
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 832) = 832
GCD(1, 832) = ( 1 x 832 ) / 832
GCD(1, 832) = 832 / 832
GCD(1, 832) = 1
GCD of 316, 223, 684, 832 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 316, 223, 684, 832?
GCD of 316, 223, 684, 832 is 1
2. Where do I get the detailed procedure to find GCD of 316, 223, 684, 832?
You can find a detailed procedure to find GCD of 316, 223, 684, 832 on our page.
3. How to find GCD of 316, 223, 684, 832 on a calculator?
You can find the GCD of 316, 223, 684, 832 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.