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 386, 684, 79, 523 i.e. 1 largest integer that divides all the numbers equally.
GCD of 386, 684, 79, 523 is 1
GCD(386, 684, 79, 523) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 386, 684, 79, 523 is 1
GCD(386, 684, 79, 523) = 1
Given Input numbers are 386, 684, 79, 523
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 386
List of positive integer divisors of 386 that divides 386 without a remainder.
1, 2, 193, 386
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 79
List of positive integer divisors of 79 that divides 79 without a remainder.
1, 79
Divisors of 523
List of positive integer divisors of 523 that divides 523 without a remainder.
1, 523
Greatest Common Divisior
We found the divisors of 386, 684, 79, 523 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 386, 684, 79, 523 is 1.
Therefore, GCD of numbers 386, 684, 79, 523 is 1
Given Input Data is 386, 684, 79, 523
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 386 is 2 x 193
Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19
Prime Factorization of 79 is 79
Prime Factorization of 523 is 523
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(386, 684) = 132012
GCD(386, 684) = ( 386 x 684 ) / 132012
GCD(386, 684) = 264024 / 132012
GCD(386, 684) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 79
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 79) = 158
GCD(2, 79) = ( 2 x 79 ) / 158
GCD(2, 79) = 158 / 158
GCD(2, 79) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 523
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 523) = 523
GCD(1, 523) = ( 1 x 523 ) / 523
GCD(1, 523) = 523 / 523
GCD(1, 523) = 1
GCD of 386, 684, 79, 523 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 386, 684, 79, 523?
GCD of 386, 684, 79, 523 is 1
2. Where do I get the detailed procedure to find GCD of 386, 684, 79, 523?
You can find a detailed procedure to find GCD of 386, 684, 79, 523 on our page.
3. How to find GCD of 386, 684, 79, 523 on a calculator?
You can find the GCD of 386, 684, 79, 523 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.