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, 260, 67, 283 i.e. 1 largest integer that divides all the numbers equally.
GCD of 503, 260, 67, 283 is 1
GCD(503, 260, 67, 283) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 503, 260, 67, 283 is 1
GCD(503, 260, 67, 283) = 1
Given Input numbers are 503, 260, 67, 283
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 260
List of positive integer divisors of 260 that divides 260 without a remainder.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 283
List of positive integer divisors of 283 that divides 283 without a remainder.
1, 283
Greatest Common Divisior
We found the divisors of 503, 260, 67, 283 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 503, 260, 67, 283 is 1.
Therefore, GCD of numbers 503, 260, 67, 283 is 1
Given Input Data is 503, 260, 67, 283
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 503 is 503
Prime Factorization of 260 is 2 x 2 x 5 x 13
Prime Factorization of 67 is 67
Prime Factorization of 283 is 283
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, 260) = 130780
GCD(503, 260) = ( 503 x 260 ) / 130780
GCD(503, 260) = 130780 / 130780
GCD(503, 260) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 67) = 67
GCD(1, 67) = ( 1 x 67 ) / 67
GCD(1, 67) = 67 / 67
GCD(1, 67) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 283
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 283) = 283
GCD(1, 283) = ( 1 x 283 ) / 283
GCD(1, 283) = 283 / 283
GCD(1, 283) = 1
GCD of 503, 260, 67, 283 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 503, 260, 67, 283?
GCD of 503, 260, 67, 283 is 1
2. Where do I get the detailed procedure to find GCD of 503, 260, 67, 283?
You can find a detailed procedure to find GCD of 503, 260, 67, 283 on our page.
3. How to find GCD of 503, 260, 67, 283 on a calculator?
You can find the GCD of 503, 260, 67, 283 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.