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 585, 385, 51, 382 i.e. 1 largest integer that divides all the numbers equally.
GCD of 585, 385, 51, 382 is 1
GCD(585, 385, 51, 382) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 585, 385, 51, 382 is 1
GCD(585, 385, 51, 382) = 1
Given Input numbers are 585, 385, 51, 382
To find the GCD of numbers using factoring list out all the divisors of each number
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 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 382
List of positive integer divisors of 382 that divides 382 without a remainder.
1, 2, 191, 382
Greatest Common Divisior
We found the divisors of 585, 385, 51, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 585, 385, 51, 382 is 1.
Therefore, GCD of numbers 585, 385, 51, 382 is 1
Given Input Data is 585, 385, 51, 382
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 585 is 3 x 3 x 5 x 13
Prime Factorization of 385 is 5 x 7 x 11
Prime Factorization of 51 is 3 x 17
Prime Factorization of 382 is 2 x 191
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(585, 385) = 45045
GCD(585, 385) = ( 585 x 385 ) / 45045
GCD(585, 385) = 225225 / 45045
GCD(585, 385) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 51) = 255
GCD(5, 51) = ( 5 x 51 ) / 255
GCD(5, 51) = 255 / 255
GCD(5, 51) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 382
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 382) = 382
GCD(1, 382) = ( 1 x 382 ) / 382
GCD(1, 382) = 382 / 382
GCD(1, 382) = 1
GCD of 585, 385, 51, 382 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 585, 385, 51, 382?
GCD of 585, 385, 51, 382 is 1
2. Where do I get the detailed procedure to find GCD of 585, 385, 51, 382?
You can find a detailed procedure to find GCD of 585, 385, 51, 382 on our page.
3. How to find GCD of 585, 385, 51, 382 on a calculator?
You can find the GCD of 585, 385, 51, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.