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, 280, 585, 263 i.e. 1 largest integer that divides all the numbers equally.
GCD of 308, 280, 585, 263 is 1
GCD(308, 280, 585, 263) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 308, 280, 585, 263 is 1
GCD(308, 280, 585, 263) = 1
Given Input numbers are 308, 280, 585, 263
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 280
List of positive integer divisors of 280 that divides 280 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
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 263
List of positive integer divisors of 263 that divides 263 without a remainder.
1, 263
Greatest Common Divisior
We found the divisors of 308, 280, 585, 263 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 308, 280, 585, 263 is 1.
Therefore, GCD of numbers 308, 280, 585, 263 is 1
Given Input Data is 308, 280, 585, 263
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 280 is 2 x 2 x 2 x 5 x 7
Prime Factorization of 585 is 3 x 3 x 5 x 13
Prime Factorization of 263 is 263
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(308, 280) = 3080
GCD(308, 280) = ( 308 x 280 ) / 3080
GCD(308, 280) = 86240 / 3080
GCD(308, 280) = 28
Step2:
Here we consider the GCD from the above i.e. 28 as first number and the next as 585
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(28, 585) = 16380
GCD(28, 585) = ( 28 x 585 ) / 16380
GCD(28, 585) = 16380 / 16380
GCD(28, 585) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 263
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 263) = 263
GCD(1, 263) = ( 1 x 263 ) / 263
GCD(1, 263) = 263 / 263
GCD(1, 263) = 1
GCD of 308, 280, 585, 263 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 308, 280, 585, 263?
GCD of 308, 280, 585, 263 is 1
2. Where do I get the detailed procedure to find GCD of 308, 280, 585, 263?
You can find a detailed procedure to find GCD of 308, 280, 585, 263 on our page.
3. How to find GCD of 308, 280, 585, 263 on a calculator?
You can find the GCD of 308, 280, 585, 263 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.