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, 452, 16, 787 i.e. 1 largest integer that divides all the numbers equally.
GCD of 503, 452, 16, 787 is 1
GCD(503, 452, 16, 787) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 503, 452, 16, 787 is 1
GCD(503, 452, 16, 787) = 1
Given Input numbers are 503, 452, 16, 787
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 452
List of positive integer divisors of 452 that divides 452 without a remainder.
1, 2, 4, 113, 226, 452
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 787
List of positive integer divisors of 787 that divides 787 without a remainder.
1, 787
Greatest Common Divisior
We found the divisors of 503, 452, 16, 787 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 503, 452, 16, 787 is 1.
Therefore, GCD of numbers 503, 452, 16, 787 is 1
Given Input Data is 503, 452, 16, 787
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 503 is 503
Prime Factorization of 452 is 2 x 2 x 113
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 787 is 787
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, 452) = 227356
GCD(503, 452) = ( 503 x 452 ) / 227356
GCD(503, 452) = 227356 / 227356
GCD(503, 452) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 16
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 16) = 16
GCD(1, 16) = ( 1 x 16 ) / 16
GCD(1, 16) = 16 / 16
GCD(1, 16) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 787
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 787) = 787
GCD(1, 787) = ( 1 x 787 ) / 787
GCD(1, 787) = 787 / 787
GCD(1, 787) = 1
GCD of 503, 452, 16, 787 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 503, 452, 16, 787?
GCD of 503, 452, 16, 787 is 1
2. Where do I get the detailed procedure to find GCD of 503, 452, 16, 787?
You can find a detailed procedure to find GCD of 503, 452, 16, 787 on our page.
3. How to find GCD of 503, 452, 16, 787 on a calculator?
You can find the GCD of 503, 452, 16, 787 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.