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 505, 284, 467, 576 i.e. 1 largest integer that divides all the numbers equally.
GCD of 505, 284, 467, 576 is 1
GCD(505, 284, 467, 576) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 505, 284, 467, 576 is 1
GCD(505, 284, 467, 576) = 1
Given Input numbers are 505, 284, 467, 576
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 505
List of positive integer divisors of 505 that divides 505 without a remainder.
1, 5, 101, 505
Divisors of 284
List of positive integer divisors of 284 that divides 284 without a remainder.
1, 2, 4, 71, 142, 284
Divisors of 467
List of positive integer divisors of 467 that divides 467 without a remainder.
1, 467
Divisors of 576
List of positive integer divisors of 576 that divides 576 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Greatest Common Divisior
We found the divisors of 505, 284, 467, 576 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 284, 467, 576 is 1.
Therefore, GCD of numbers 505, 284, 467, 576 is 1
Given Input Data is 505, 284, 467, 576
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 505 is 5 x 101
Prime Factorization of 284 is 2 x 2 x 71
Prime Factorization of 467 is 467
Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
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(505, 284) = 143420
GCD(505, 284) = ( 505 x 284 ) / 143420
GCD(505, 284) = 143420 / 143420
GCD(505, 284) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 467
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 467) = 467
GCD(1, 467) = ( 1 x 467 ) / 467
GCD(1, 467) = 467 / 467
GCD(1, 467) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 576
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 576) = 576
GCD(1, 576) = ( 1 x 576 ) / 576
GCD(1, 576) = 576 / 576
GCD(1, 576) = 1
GCD of 505, 284, 467, 576 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 505, 284, 467, 576?
GCD of 505, 284, 467, 576 is 1
2. Where do I get the detailed procedure to find GCD of 505, 284, 467, 576?
You can find a detailed procedure to find GCD of 505, 284, 467, 576 on our page.
3. How to find GCD of 505, 284, 467, 576 on a calculator?
You can find the GCD of 505, 284, 467, 576 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.