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 400, 793, 82, 521 i.e. 1 largest integer that divides all the numbers equally.
GCD of 400, 793, 82, 521 is 1
GCD(400, 793, 82, 521) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 400, 793, 82, 521 is 1
GCD(400, 793, 82, 521) = 1
Given Input numbers are 400, 793, 82, 521
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 400
List of positive integer divisors of 400 that divides 400 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 793
List of positive integer divisors of 793 that divides 793 without a remainder.
1, 13, 61, 793
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 521
List of positive integer divisors of 521 that divides 521 without a remainder.
1, 521
Greatest Common Divisior
We found the divisors of 400, 793, 82, 521 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 793, 82, 521 is 1.
Therefore, GCD of numbers 400, 793, 82, 521 is 1
Given Input Data is 400, 793, 82, 521
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 793 is 13 x 61
Prime Factorization of 82 is 2 x 41
Prime Factorization of 521 is 521
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(400, 793) = 317200
GCD(400, 793) = ( 400 x 793 ) / 317200
GCD(400, 793) = 317200 / 317200
GCD(400, 793) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 82
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 82) = 82
GCD(1, 82) = ( 1 x 82 ) / 82
GCD(1, 82) = 82 / 82
GCD(1, 82) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 521
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 521) = 521
GCD(1, 521) = ( 1 x 521 ) / 521
GCD(1, 521) = 521 / 521
GCD(1, 521) = 1
GCD of 400, 793, 82, 521 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 400, 793, 82, 521?
GCD of 400, 793, 82, 521 is 1
2. Where do I get the detailed procedure to find GCD of 400, 793, 82, 521?
You can find a detailed procedure to find GCD of 400, 793, 82, 521 on our page.
3. How to find GCD of 400, 793, 82, 521 on a calculator?
You can find the GCD of 400, 793, 82, 521 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.