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 587, 214, 40, 823 i.e. 1 largest integer that divides all the numbers equally.
GCD of 587, 214, 40, 823 is 1
GCD(587, 214, 40, 823) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 587, 214, 40, 823 is 1
GCD(587, 214, 40, 823) = 1
Given Input numbers are 587, 214, 40, 823
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 587
List of positive integer divisors of 587 that divides 587 without a remainder.
1, 587
Divisors of 214
List of positive integer divisors of 214 that divides 214 without a remainder.
1, 2, 107, 214
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 823
List of positive integer divisors of 823 that divides 823 without a remainder.
1, 823
Greatest Common Divisior
We found the divisors of 587, 214, 40, 823 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 587, 214, 40, 823 is 1.
Therefore, GCD of numbers 587, 214, 40, 823 is 1
Given Input Data is 587, 214, 40, 823
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 587 is 587
Prime Factorization of 214 is 2 x 107
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 823 is 823
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(587, 214) = 125618
GCD(587, 214) = ( 587 x 214 ) / 125618
GCD(587, 214) = 125618 / 125618
GCD(587, 214) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 40) = 40
GCD(1, 40) = ( 1 x 40 ) / 40
GCD(1, 40) = 40 / 40
GCD(1, 40) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 823
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 823) = 823
GCD(1, 823) = ( 1 x 823 ) / 823
GCD(1, 823) = 823 / 823
GCD(1, 823) = 1
GCD of 587, 214, 40, 823 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 587, 214, 40, 823?
GCD of 587, 214, 40, 823 is 1
2. Where do I get the detailed procedure to find GCD of 587, 214, 40, 823?
You can find a detailed procedure to find GCD of 587, 214, 40, 823 on our page.
3. How to find GCD of 587, 214, 40, 823 on a calculator?
You can find the GCD of 587, 214, 40, 823 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.