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 905, 577, 790, 385 i.e. 1 largest integer that divides all the numbers equally.
GCD of 905, 577, 790, 385 is 1
GCD(905, 577, 790, 385) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 905, 577, 790, 385 is 1
GCD(905, 577, 790, 385) = 1
Given Input numbers are 905, 577, 790, 385
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 905
List of positive integer divisors of 905 that divides 905 without a remainder.
1, 5, 181, 905
Divisors of 577
List of positive integer divisors of 577 that divides 577 without a remainder.
1, 577
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 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Greatest Common Divisior
We found the divisors of 905, 577, 790, 385 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 905, 577, 790, 385 is 1.
Therefore, GCD of numbers 905, 577, 790, 385 is 1
Given Input Data is 905, 577, 790, 385
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 905 is 5 x 181
Prime Factorization of 577 is 577
Prime Factorization of 790 is 2 x 5 x 79
Prime Factorization of 385 is 5 x 7 x 11
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(905, 577) = 522185
GCD(905, 577) = ( 905 x 577 ) / 522185
GCD(905, 577) = 522185 / 522185
GCD(905, 577) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 790
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 790) = 790
GCD(1, 790) = ( 1 x 790 ) / 790
GCD(1, 790) = 790 / 790
GCD(1, 790) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 385
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 385) = 385
GCD(1, 385) = ( 1 x 385 ) / 385
GCD(1, 385) = 385 / 385
GCD(1, 385) = 1
GCD of 905, 577, 790, 385 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 905, 577, 790, 385?
GCD of 905, 577, 790, 385 is 1
2. Where do I get the detailed procedure to find GCD of 905, 577, 790, 385?
You can find a detailed procedure to find GCD of 905, 577, 790, 385 on our page.
3. How to find GCD of 905, 577, 790, 385 on a calculator?
You can find the GCD of 905, 577, 790, 385 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.