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, 840, 504, 683 i.e. 1 largest integer that divides all the numbers equally.
GCD of 316, 840, 504, 683 is 1
GCD(316, 840, 504, 683) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 316, 840, 504, 683 is 1
GCD(316, 840, 504, 683) = 1
Given Input numbers are 316, 840, 504, 683
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 840
List of positive integer divisors of 840 that divides 840 without a remainder.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 504
List of positive integer divisors of 504 that divides 504 without a remainder.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
Divisors of 683
List of positive integer divisors of 683 that divides 683 without a remainder.
1, 683
Greatest Common Divisior
We found the divisors of 316, 840, 504, 683 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 316, 840, 504, 683 is 1.
Therefore, GCD of numbers 316, 840, 504, 683 is 1
Given Input Data is 316, 840, 504, 683
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 840 is 2 x 2 x 2 x 3 x 5 x 7
Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7
Prime Factorization of 683 is 683
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, 840) = 66360
GCD(316, 840) = ( 316 x 840 ) / 66360
GCD(316, 840) = 265440 / 66360
GCD(316, 840) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 504
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 504) = 504
GCD(4, 504) = ( 4 x 504 ) / 504
GCD(4, 504) = 2016 / 504
GCD(4, 504) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 683
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 683) = 2732
GCD(4, 683) = ( 4 x 683 ) / 2732
GCD(4, 683) = 2732 / 2732
GCD(4, 683) = 1
GCD of 316, 840, 504, 683 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 316, 840, 504, 683?
GCD of 316, 840, 504, 683 is 1
2. Where do I get the detailed procedure to find GCD of 316, 840, 504, 683?
You can find a detailed procedure to find GCD of 316, 840, 504, 683 on our page.
3. How to find GCD of 316, 840, 504, 683 on a calculator?
You can find the GCD of 316, 840, 504, 683 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.