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 15, 263, 574, 585 i.e. 1 largest integer that divides all the numbers equally.
GCD of 15, 263, 574, 585 is 1
GCD(15, 263, 574, 585) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 15, 263, 574, 585 is 1
GCD(15, 263, 574, 585) = 1
Given Input numbers are 15, 263, 574, 585
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 263
List of positive integer divisors of 263 that divides 263 without a remainder.
1, 263
Divisors of 574
List of positive integer divisors of 574 that divides 574 without a remainder.
1, 2, 7, 14, 41, 82, 287, 574
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 15, 263, 574, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 263, 574, 585 is 1.
Therefore, GCD of numbers 15, 263, 574, 585 is 1
Given Input Data is 15, 263, 574, 585
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 15 is 3 x 5
Prime Factorization of 263 is 263
Prime Factorization of 574 is 2 x 7 x 41
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
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(15, 263) = 3945
GCD(15, 263) = ( 15 x 263 ) / 3945
GCD(15, 263) = 3945 / 3945
GCD(15, 263) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 574
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 574) = 574
GCD(1, 574) = ( 1 x 574 ) / 574
GCD(1, 574) = 574 / 574
GCD(1, 574) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 585
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 585) = 585
GCD(1, 585) = ( 1 x 585 ) / 585
GCD(1, 585) = 585 / 585
GCD(1, 585) = 1
GCD of 15, 263, 574, 585 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 15, 263, 574, 585?
GCD of 15, 263, 574, 585 is 1
2. Where do I get the detailed procedure to find GCD of 15, 263, 574, 585?
You can find a detailed procedure to find GCD of 15, 263, 574, 585 on our page.
3. How to find GCD of 15, 263, 574, 585 on a calculator?
You can find the GCD of 15, 263, 574, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.