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 503, 900, 450, 864 i.e. 1 largest integer that divides all the numbers equally.
GCD of 503, 900, 450, 864 is 1
GCD(503, 900, 450, 864) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 503, 900, 450, 864 is 1
GCD(503, 900, 450, 864) = 1
Given Input numbers are 503, 900, 450, 864
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 503
List of positive integer divisors of 503 that divides 503 without a remainder.
1, 503
Divisors of 900
List of positive integer divisors of 900 that divides 900 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 450
List of positive integer divisors of 450 that divides 450 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Divisors of 864
List of positive integer divisors of 864 that divides 864 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Greatest Common Divisior
We found the divisors of 503, 900, 450, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 503, 900, 450, 864 is 1.
Therefore, GCD of numbers 503, 900, 450, 864 is 1
Given Input Data is 503, 900, 450, 864
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 503 is 503
Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5
Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5
Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 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(503, 900) = 452700
GCD(503, 900) = ( 503 x 900 ) / 452700
GCD(503, 900) = 452700 / 452700
GCD(503, 900) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 450
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 450) = 450
GCD(1, 450) = ( 1 x 450 ) / 450
GCD(1, 450) = 450 / 450
GCD(1, 450) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 864
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 864) = 864
GCD(1, 864) = ( 1 x 864 ) / 864
GCD(1, 864) = 864 / 864
GCD(1, 864) = 1
GCD of 503, 900, 450, 864 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 503, 900, 450, 864?
GCD of 503, 900, 450, 864 is 1
2. Where do I get the detailed procedure to find GCD of 503, 900, 450, 864?
You can find a detailed procedure to find GCD of 503, 900, 450, 864 on our page.
3. How to find GCD of 503, 900, 450, 864 on a calculator?
You can find the GCD of 503, 900, 450, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.