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, 687, 318, 801 i.e. 1 largest integer that divides all the numbers equally.
GCD of 503, 687, 318, 801 is 1
GCD(503, 687, 318, 801) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 503, 687, 318, 801 is 1
GCD(503, 687, 318, 801) = 1
Given Input numbers are 503, 687, 318, 801
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 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
Divisors of 318
List of positive integer divisors of 318 that divides 318 without a remainder.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 801
List of positive integer divisors of 801 that divides 801 without a remainder.
1, 3, 9, 89, 267, 801
Greatest Common Divisior
We found the divisors of 503, 687, 318, 801 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 503, 687, 318, 801 is 1.
Therefore, GCD of numbers 503, 687, 318, 801 is 1
Given Input Data is 503, 687, 318, 801
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 503 is 503
Prime Factorization of 687 is 3 x 229
Prime Factorization of 318 is 2 x 3 x 53
Prime Factorization of 801 is 3 x 3 x 89
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, 687) = 345561
GCD(503, 687) = ( 503 x 687 ) / 345561
GCD(503, 687) = 345561 / 345561
GCD(503, 687) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 318
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 318) = 318
GCD(1, 318) = ( 1 x 318 ) / 318
GCD(1, 318) = 318 / 318
GCD(1, 318) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 801
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 801) = 801
GCD(1, 801) = ( 1 x 801 ) / 801
GCD(1, 801) = 801 / 801
GCD(1, 801) = 1
GCD of 503, 687, 318, 801 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 503, 687, 318, 801?
GCD of 503, 687, 318, 801 is 1
2. Where do I get the detailed procedure to find GCD of 503, 687, 318, 801?
You can find a detailed procedure to find GCD of 503, 687, 318, 801 on our page.
3. How to find GCD of 503, 687, 318, 801 on a calculator?
You can find the GCD of 503, 687, 318, 801 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.