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, 112, 99, 477 i.e. 1 largest integer that divides all the numbers equally.
GCD of 503, 112, 99, 477 is 1
GCD(503, 112, 99, 477) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 503, 112, 99, 477 is 1
GCD(503, 112, 99, 477) = 1
Given Input numbers are 503, 112, 99, 477
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 112
List of positive integer divisors of 112 that divides 112 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 477
List of positive integer divisors of 477 that divides 477 without a remainder.
1, 3, 9, 53, 159, 477
Greatest Common Divisior
We found the divisors of 503, 112, 99, 477 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 503, 112, 99, 477 is 1.
Therefore, GCD of numbers 503, 112, 99, 477 is 1
Given Input Data is 503, 112, 99, 477
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 503 is 503
Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 477 is 3 x 3 x 53
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, 112) = 56336
GCD(503, 112) = ( 503 x 112 ) / 56336
GCD(503, 112) = 56336 / 56336
GCD(503, 112) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 99) = 99
GCD(1, 99) = ( 1 x 99 ) / 99
GCD(1, 99) = 99 / 99
GCD(1, 99) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 477
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 477) = 477
GCD(1, 477) = ( 1 x 477 ) / 477
GCD(1, 477) = 477 / 477
GCD(1, 477) = 1
GCD of 503, 112, 99, 477 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 503, 112, 99, 477?
GCD of 503, 112, 99, 477 is 1
2. Where do I get the detailed procedure to find GCD of 503, 112, 99, 477?
You can find a detailed procedure to find GCD of 503, 112, 99, 477 on our page.
3. How to find GCD of 503, 112, 99, 477 on a calculator?
You can find the GCD of 503, 112, 99, 477 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.