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 576, 837, 790, 835 i.e. 1 largest integer that divides all the numbers equally.
GCD of 576, 837, 790, 835 is 1
GCD(576, 837, 790, 835) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 576, 837, 790, 835 is 1
GCD(576, 837, 790, 835) = 1
Given Input numbers are 576, 837, 790, 835
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 576
List of positive integer divisors of 576 that divides 576 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Divisors of 837
List of positive integer divisors of 837 that divides 837 without a remainder.
1, 3, 9, 27, 31, 93, 279, 837
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 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 576, 837, 790, 835 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 837, 790, 835 is 1.
Therefore, GCD of numbers 576, 837, 790, 835 is 1
Given Input Data is 576, 837, 790, 835
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 837 is 3 x 3 x 3 x 31
Prime Factorization of 790 is 2 x 5 x 79
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(576, 837) = 53568
GCD(576, 837) = ( 576 x 837 ) / 53568
GCD(576, 837) = 482112 / 53568
GCD(576, 837) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 790
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 790) = 7110
GCD(9, 790) = ( 9 x 790 ) / 7110
GCD(9, 790) = 7110 / 7110
GCD(9, 790) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 835
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 835) = 835
GCD(1, 835) = ( 1 x 835 ) / 835
GCD(1, 835) = 835 / 835
GCD(1, 835) = 1
GCD of 576, 837, 790, 835 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 576, 837, 790, 835?
GCD of 576, 837, 790, 835 is 1
2. Where do I get the detailed procedure to find GCD of 576, 837, 790, 835?
You can find a detailed procedure to find GCD of 576, 837, 790, 835 on our page.
3. How to find GCD of 576, 837, 790, 835 on a calculator?
You can find the GCD of 576, 837, 790, 835 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.