GCD of 308, 913, 585 Calculator
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 308, 913, 585 i.e. 1 largest integer that divides all the numbers equally.
GCD of 308, 913, 585 is 1
GCD(308, 913, 585) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 308, 913, 585 is 1
GCD(308, 913, 585) = 1
GCDof 308,913,585 is 1
Given Input numbers are 308, 913, 585
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 308
List of positive integer divisors of 308 that divides 308 without a remainder.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 913
List of positive integer divisors of 913 that divides 913 without a remainder.
1, 11, 83, 913
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
Greatest Common Divisior
We found the divisors of 308, 913, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 308, 913, 585 is 1.
Therefore, GCD of numbers 308, 913, 585 is 1
Given Input Data is 308, 913, 585
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 308 is 2 x 2 x 7 x 11
Prime Factorization of 913 is 11 x 83
Prime Factorization of 585 is 3 x 3 x 5 x 13
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 308, 913, 585 using LCM Formula
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(308, 913) = 25564
GCD(308, 913) = ( 308 x 913 ) / 25564
GCD(308, 913) = 281204 / 25564
GCD(308, 913) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 585
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 585) = 6435
GCD(11, 585) = ( 11 x 585 ) / 6435
GCD(11, 585) = 6435 / 6435
GCD(11, 585) = 1
GCD of 308, 913, 585 is 1
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 308, 913, 585
1. What is the GCD of 308, 913, 585?
GCD of 308, 913, 585 is 1
2. Where do I get the detailed procedure to find GCD of 308, 913, 585?
You can find a detailed procedure to find GCD of 308, 913, 585 on our page.
3. How to find GCD of 308, 913, 585 on a calculator?
You can find the GCD of 308, 913, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.