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, 516, 453, 475 i.e. 1 largest integer that divides all the numbers equally.
GCD of 824, 516, 453, 475 is 1
GCD(824, 516, 453, 475) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 824, 516, 453, 475 is 1
GCD(824, 516, 453, 475) = 1
Given Input numbers are 824, 516, 453, 475
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 516
List of positive integer divisors of 516 that divides 516 without a remainder.
1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
Divisors of 453
List of positive integer divisors of 453 that divides 453 without a remainder.
1, 3, 151, 453
Divisors of 475
List of positive integer divisors of 475 that divides 475 without a remainder.
1, 5, 19, 25, 95, 475
Greatest Common Divisior
We found the divisors of 824, 516, 453, 475 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 516, 453, 475 is 1.
Therefore, GCD of numbers 824, 516, 453, 475 is 1
Given Input Data is 824, 516, 453, 475
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 516 is 2 x 2 x 3 x 43
Prime Factorization of 453 is 3 x 151
Prime Factorization of 475 is 5 x 5 x 19
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, 516) = 106296
GCD(824, 516) = ( 824 x 516 ) / 106296
GCD(824, 516) = 425184 / 106296
GCD(824, 516) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 453
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 453) = 1812
GCD(4, 453) = ( 4 x 453 ) / 1812
GCD(4, 453) = 1812 / 1812
GCD(4, 453) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 475
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 475) = 475
GCD(1, 475) = ( 1 x 475 ) / 475
GCD(1, 475) = 475 / 475
GCD(1, 475) = 1
GCD of 824, 516, 453, 475 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 824, 516, 453, 475?
GCD of 824, 516, 453, 475 is 1
2. Where do I get the detailed procedure to find GCD of 824, 516, 453, 475?
You can find a detailed procedure to find GCD of 824, 516, 453, 475 on our page.
3. How to find GCD of 824, 516, 453, 475 on a calculator?
You can find the GCD of 824, 516, 453, 475 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.