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, 849, 60, 368 i.e. 1 largest integer that divides all the numbers equally.
GCD of 503, 849, 60, 368 is 1
GCD(503, 849, 60, 368) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 503, 849, 60, 368 is 1
GCD(503, 849, 60, 368) = 1
Given Input numbers are 503, 849, 60, 368
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 849
List of positive integer divisors of 849 that divides 849 without a remainder.
1, 3, 283, 849
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 368
List of positive integer divisors of 368 that divides 368 without a remainder.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Greatest Common Divisior
We found the divisors of 503, 849, 60, 368 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 503, 849, 60, 368 is 1.
Therefore, GCD of numbers 503, 849, 60, 368 is 1
Given Input Data is 503, 849, 60, 368
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 503 is 503
Prime Factorization of 849 is 3 x 283
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23
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, 849) = 427047
GCD(503, 849) = ( 503 x 849 ) / 427047
GCD(503, 849) = 427047 / 427047
GCD(503, 849) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 60) = 60
GCD(1, 60) = ( 1 x 60 ) / 60
GCD(1, 60) = 60 / 60
GCD(1, 60) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 368
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 368) = 368
GCD(1, 368) = ( 1 x 368 ) / 368
GCD(1, 368) = 368 / 368
GCD(1, 368) = 1
GCD of 503, 849, 60, 368 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 503, 849, 60, 368?
GCD of 503, 849, 60, 368 is 1
2. Where do I get the detailed procedure to find GCD of 503, 849, 60, 368?
You can find a detailed procedure to find GCD of 503, 849, 60, 368 on our page.
3. How to find GCD of 503, 849, 60, 368 on a calculator?
You can find the GCD of 503, 849, 60, 368 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.