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 385, 790, 828, 684 i.e. 1 largest integer that divides all the numbers equally.
GCD of 385, 790, 828, 684 is 1
GCD(385, 790, 828, 684) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 385, 790, 828, 684 is 1
GCD(385, 790, 828, 684) = 1
Given Input numbers are 385, 790, 828, 684
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Divisors of 790
List of positive integer divisors of 790 that divides 790 without a remainder.
1, 2, 5, 10, 79, 158, 395, 790
Divisors of 828
List of positive integer divisors of 828 that divides 828 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
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
Greatest Common Divisior
We found the divisors of 385, 790, 828, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 385, 790, 828, 684 is 1.
Therefore, GCD of numbers 385, 790, 828, 684 is 1
Given Input Data is 385, 790, 828, 684
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 385 is 5 x 7 x 11
Prime Factorization of 790 is 2 x 5 x 79
Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23
Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19
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(385, 790) = 60830
GCD(385, 790) = ( 385 x 790 ) / 60830
GCD(385, 790) = 304150 / 60830
GCD(385, 790) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 828
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 828) = 4140
GCD(5, 828) = ( 5 x 828 ) / 4140
GCD(5, 828) = 4140 / 4140
GCD(5, 828) = 1
Step3:
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
GCD of 385, 790, 828, 684 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 385, 790, 828, 684?
GCD of 385, 790, 828, 684 is 1
2. Where do I get the detailed procedure to find GCD of 385, 790, 828, 684?
You can find a detailed procedure to find GCD of 385, 790, 828, 684 on our page.
3. How to find GCD of 385, 790, 828, 684 on a calculator?
You can find the GCD of 385, 790, 828, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.