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 758, 585, 790, 305 i.e. 1 largest integer that divides all the numbers equally.
GCD of 758, 585, 790, 305 is 1
GCD(758, 585, 790, 305) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 758, 585, 790, 305 is 1
GCD(758, 585, 790, 305) = 1
Given Input numbers are 758, 585, 790, 305
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 758
List of positive integer divisors of 758 that divides 758 without a remainder.
1, 2, 379, 758
Divisors of 585
List of positive integer divisors of 585 that divides 585 without a remainder.
1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
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 305
List of positive integer divisors of 305 that divides 305 without a remainder.
1, 5, 61, 305
Greatest Common Divisior
We found the divisors of 758, 585, 790, 305 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 758, 585, 790, 305 is 1.
Therefore, GCD of numbers 758, 585, 790, 305 is 1
Given Input Data is 758, 585, 790, 305
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 758 is 2 x 379
Prime Factorization of 585 is 3 x 3 x 5 x 13
Prime Factorization of 790 is 2 x 5 x 79
Prime Factorization of 305 is 5 x 61
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(758, 585) = 443430
GCD(758, 585) = ( 758 x 585 ) / 443430
GCD(758, 585) = 443430 / 443430
GCD(758, 585) = 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 305
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 305) = 305
GCD(1, 305) = ( 1 x 305 ) / 305
GCD(1, 305) = 305 / 305
GCD(1, 305) = 1
GCD of 758, 585, 790, 305 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 758, 585, 790, 305?
GCD of 758, 585, 790, 305 is 1
2. Where do I get the detailed procedure to find GCD of 758, 585, 790, 305?
You can find a detailed procedure to find GCD of 758, 585, 790, 305 on our page.
3. How to find GCD of 758, 585, 790, 305 on a calculator?
You can find the GCD of 758, 585, 790, 305 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.