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 843, 494, 87, 585 i.e. 1 largest integer that divides all the numbers equally.
GCD of 843, 494, 87, 585 is 1
GCD(843, 494, 87, 585) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 843, 494, 87, 585 is 1
GCD(843, 494, 87, 585) = 1
Given Input numbers are 843, 494, 87, 585
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 843
List of positive integer divisors of 843 that divides 843 without a remainder.
1, 3, 281, 843
Divisors of 494
List of positive integer divisors of 494 that divides 494 without a remainder.
1, 2, 13, 19, 26, 38, 247, 494
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
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 843, 494, 87, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 843, 494, 87, 585 is 1.
Therefore, GCD of numbers 843, 494, 87, 585 is 1
Given Input Data is 843, 494, 87, 585
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 843 is 3 x 281
Prime Factorization of 494 is 2 x 13 x 19
Prime Factorization of 87 is 3 x 29
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(843, 494) = 416442
GCD(843, 494) = ( 843 x 494 ) / 416442
GCD(843, 494) = 416442 / 416442
GCD(843, 494) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 87
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 87) = 87
GCD(1, 87) = ( 1 x 87 ) / 87
GCD(1, 87) = 87 / 87
GCD(1, 87) = 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 843, 494, 87, 585 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 843, 494, 87, 585?
GCD of 843, 494, 87, 585 is 1
2. Where do I get the detailed procedure to find GCD of 843, 494, 87, 585?
You can find a detailed procedure to find GCD of 843, 494, 87, 585 on our page.
3. How to find GCD of 843, 494, 87, 585 on a calculator?
You can find the GCD of 843, 494, 87, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.