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, 280, 382, 304 i.e. 1 largest integer that divides all the numbers equally.
GCD of 503, 280, 382, 304 is 1
GCD(503, 280, 382, 304) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 503, 280, 382, 304 is 1
GCD(503, 280, 382, 304) = 1
Given Input numbers are 503, 280, 382, 304
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 280
List of positive integer divisors of 280 that divides 280 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 382
List of positive integer divisors of 382 that divides 382 without a remainder.
1, 2, 191, 382
Divisors of 304
List of positive integer divisors of 304 that divides 304 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Greatest Common Divisior
We found the divisors of 503, 280, 382, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 503, 280, 382, 304 is 1.
Therefore, GCD of numbers 503, 280, 382, 304 is 1
Given Input Data is 503, 280, 382, 304
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 503 is 503
Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7
Prime Factorization of 382 is 2 x 191
Prime Factorization of 304 is 2 x 2 x 2 x 2 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(503, 280) = 140840
GCD(503, 280) = ( 503 x 280 ) / 140840
GCD(503, 280) = 140840 / 140840
GCD(503, 280) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 382
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 382) = 382
GCD(1, 382) = ( 1 x 382 ) / 382
GCD(1, 382) = 382 / 382
GCD(1, 382) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 304
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 304) = 304
GCD(1, 304) = ( 1 x 304 ) / 304
GCD(1, 304) = 304 / 304
GCD(1, 304) = 1
GCD of 503, 280, 382, 304 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 503, 280, 382, 304?
GCD of 503, 280, 382, 304 is 1
2. Where do I get the detailed procedure to find GCD of 503, 280, 382, 304?
You can find a detailed procedure to find GCD of 503, 280, 382, 304 on our page.
3. How to find GCD of 503, 280, 382, 304 on a calculator?
You can find the GCD of 503, 280, 382, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.