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 920, 592, 835 i.e. 1 largest integer that divides all the numbers equally.
GCD of 920, 592, 835 is 1
GCD(920, 592, 835) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 920, 592, 835 is 1
GCD(920, 592, 835) = 1
Given Input numbers are 920, 592, 835
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 592
List of positive integer divisors of 592 that divides 592 without a remainder.
1, 2, 4, 8, 16, 37, 74, 148, 296, 592
Divisors of 835
List of positive integer divisors of 835 that divides 835 without a remainder.
1, 5, 167, 835
Greatest Common Divisior
We found the divisors of 920, 592, 835 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 592, 835 is 1.
Therefore, GCD of numbers 920, 592, 835 is 1
Given Input Data is 920, 592, 835
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37
Prime Factorization of 835 is 5 x 167
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(920, 592) = 68080
GCD(920, 592) = ( 920 x 592 ) / 68080
GCD(920, 592) = 544640 / 68080
GCD(920, 592) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 835
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 835) = 6680
GCD(8, 835) = ( 8 x 835 ) / 6680
GCD(8, 835) = 6680 / 6680
GCD(8, 835) = 1
GCD of 920, 592, 835 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 920, 592, 835?
GCD of 920, 592, 835 is 1
2. Where do I get the detailed procedure to find GCD of 920, 592, 835?
You can find a detailed procedure to find GCD of 920, 592, 835 on our page.
3. How to find GCD of 920, 592, 835 on a calculator?
You can find the GCD of 920, 592, 835 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.