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 474, 187, 585, 713 i.e. 1 largest integer that divides all the numbers equally.
GCD of 474, 187, 585, 713 is 1
GCD(474, 187, 585, 713) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 474, 187, 585, 713 is 1
GCD(474, 187, 585, 713) = 1
Given Input numbers are 474, 187, 585, 713
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 474
List of positive integer divisors of 474 that divides 474 without a remainder.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 187
List of positive integer divisors of 187 that divides 187 without a remainder.
1, 11, 17, 187
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 713
List of positive integer divisors of 713 that divides 713 without a remainder.
1, 23, 31, 713
Greatest Common Divisior
We found the divisors of 474, 187, 585, 713 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 474, 187, 585, 713 is 1.
Therefore, GCD of numbers 474, 187, 585, 713 is 1
Given Input Data is 474, 187, 585, 713
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 474 is 2 x 3 x 79
Prime Factorization of 187 is 11 x 17
Prime Factorization of 585 is 3 x 3 x 5 x 13
Prime Factorization of 713 is 23 x 31
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(474, 187) = 88638
GCD(474, 187) = ( 474 x 187 ) / 88638
GCD(474, 187) = 88638 / 88638
GCD(474, 187) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 713
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 713) = 713
GCD(1, 713) = ( 1 x 713 ) / 713
GCD(1, 713) = 713 / 713
GCD(1, 713) = 1
GCD of 474, 187, 585, 713 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 474, 187, 585, 713?
GCD of 474, 187, 585, 713 is 1
2. Where do I get the detailed procedure to find GCD of 474, 187, 585, 713?
You can find a detailed procedure to find GCD of 474, 187, 585, 713 on our page.
3. How to find GCD of 474, 187, 585, 713 on a calculator?
You can find the GCD of 474, 187, 585, 713 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.