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, 442, 503, 274 i.e. 1 largest integer that divides all the numbers equally.
GCD of 503, 442, 503, 274 is 1
GCD(503, 442, 503, 274) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 503, 442, 503, 274 is 1
GCD(503, 442, 503, 274) = 1
Given Input numbers are 503, 442, 503, 274
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 442
List of positive integer divisors of 442 that divides 442 without a remainder.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 503
List of positive integer divisors of 503 that divides 503 without a remainder.
1, 503
Divisors of 274
List of positive integer divisors of 274 that divides 274 without a remainder.
1, 2, 137, 274
Greatest Common Divisior
We found the divisors of 503, 442, 503, 274 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 503, 442, 503, 274 is 1.
Therefore, GCD of numbers 503, 442, 503, 274 is 1
Given Input Data is 503, 442, 503, 274
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 503 is 503
Prime Factorization of 442 is 2 x 13 x 17
Prime Factorization of 503 is 503
Prime Factorization of 274 is 2 x 137
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, 442) = 222326
GCD(503, 442) = ( 503 x 442 ) / 222326
GCD(503, 442) = 222326 / 222326
GCD(503, 442) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 503
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 503) = 503
GCD(1, 503) = ( 1 x 503 ) / 503
GCD(1, 503) = 503 / 503
GCD(1, 503) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 274
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 274) = 274
GCD(1, 274) = ( 1 x 274 ) / 274
GCD(1, 274) = 274 / 274
GCD(1, 274) = 1
GCD of 503, 442, 503, 274 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 503, 442, 503, 274?
GCD of 503, 442, 503, 274 is 1
2. Where do I get the detailed procedure to find GCD of 503, 442, 503, 274?
You can find a detailed procedure to find GCD of 503, 442, 503, 274 on our page.
3. How to find GCD of 503, 442, 503, 274 on a calculator?
You can find the GCD of 503, 442, 503, 274 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.