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 824, 580, 535, 404 i.e. 1 largest integer that divides all the numbers equally.
GCD of 824, 580, 535, 404 is 1
GCD(824, 580, 535, 404) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 824, 580, 535, 404 is 1
GCD(824, 580, 535, 404) = 1
Given Input numbers are 824, 580, 535, 404
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 580
List of positive integer divisors of 580 that divides 580 without a remainder.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
Divisors of 535
List of positive integer divisors of 535 that divides 535 without a remainder.
1, 5, 107, 535
Divisors of 404
List of positive integer divisors of 404 that divides 404 without a remainder.
1, 2, 4, 101, 202, 404
Greatest Common Divisior
We found the divisors of 824, 580, 535, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 580, 535, 404 is 1.
Therefore, GCD of numbers 824, 580, 535, 404 is 1
Given Input Data is 824, 580, 535, 404
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 824 is 2 x 2 x 2 x 103
Prime Factorization of 580 is 2 x 2 x 5 x 29
Prime Factorization of 535 is 5 x 107
Prime Factorization of 404 is 2 x 2 x 101
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(824, 580) = 119480
GCD(824, 580) = ( 824 x 580 ) / 119480
GCD(824, 580) = 477920 / 119480
GCD(824, 580) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 535
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 535) = 2140
GCD(4, 535) = ( 4 x 535 ) / 2140
GCD(4, 535) = 2140 / 2140
GCD(4, 535) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 404
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 404) = 404
GCD(1, 404) = ( 1 x 404 ) / 404
GCD(1, 404) = 404 / 404
GCD(1, 404) = 1
GCD of 824, 580, 535, 404 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 824, 580, 535, 404?
GCD of 824, 580, 535, 404 is 1
2. Where do I get the detailed procedure to find GCD of 824, 580, 535, 404?
You can find a detailed procedure to find GCD of 824, 580, 535, 404 on our page.
3. How to find GCD of 824, 580, 535, 404 on a calculator?
You can find the GCD of 824, 580, 535, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.