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, 773, 414, 366 i.e. 1 largest integer that divides all the numbers equally.
GCD of 503, 773, 414, 366 is 1
GCD(503, 773, 414, 366) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 503, 773, 414, 366 is 1
GCD(503, 773, 414, 366) = 1
Given Input numbers are 503, 773, 414, 366
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 773
List of positive integer divisors of 773 that divides 773 without a remainder.
1, 773
Divisors of 414
List of positive integer divisors of 414 that divides 414 without a remainder.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
Divisors of 366
List of positive integer divisors of 366 that divides 366 without a remainder.
1, 2, 3, 6, 61, 122, 183, 366
Greatest Common Divisior
We found the divisors of 503, 773, 414, 366 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 503, 773, 414, 366 is 1.
Therefore, GCD of numbers 503, 773, 414, 366 is 1
Given Input Data is 503, 773, 414, 366
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 503 is 503
Prime Factorization of 773 is 773
Prime Factorization of 414 is 2 x 3 x 3 x 23
Prime Factorization of 366 is 2 x 3 x 61
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, 773) = 388819
GCD(503, 773) = ( 503 x 773 ) / 388819
GCD(503, 773) = 388819 / 388819
GCD(503, 773) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 414
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 414) = 414
GCD(1, 414) = ( 1 x 414 ) / 414
GCD(1, 414) = 414 / 414
GCD(1, 414) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 366
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 366) = 366
GCD(1, 366) = ( 1 x 366 ) / 366
GCD(1, 366) = 366 / 366
GCD(1, 366) = 1
GCD of 503, 773, 414, 366 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 503, 773, 414, 366?
GCD of 503, 773, 414, 366 is 1
2. Where do I get the detailed procedure to find GCD of 503, 773, 414, 366?
You can find a detailed procedure to find GCD of 503, 773, 414, 366 on our page.
3. How to find GCD of 503, 773, 414, 366 on a calculator?
You can find the GCD of 503, 773, 414, 366 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.