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 392, 503, 213, 372 i.e. 1 largest integer that divides all the numbers equally.
GCD of 392, 503, 213, 372 is 1
GCD(392, 503, 213, 372) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 392, 503, 213, 372 is 1
GCD(392, 503, 213, 372) = 1
Given Input numbers are 392, 503, 213, 372
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 392
List of positive integer divisors of 392 that divides 392 without a remainder.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Divisors of 503
List of positive integer divisors of 503 that divides 503 without a remainder.
1, 503
Divisors of 213
List of positive integer divisors of 213 that divides 213 without a remainder.
1, 3, 71, 213
Divisors of 372
List of positive integer divisors of 372 that divides 372 without a remainder.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Greatest Common Divisior
We found the divisors of 392, 503, 213, 372 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 392, 503, 213, 372 is 1.
Therefore, GCD of numbers 392, 503, 213, 372 is 1
Given Input Data is 392, 503, 213, 372
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7
Prime Factorization of 503 is 503
Prime Factorization of 213 is 3 x 71
Prime Factorization of 372 is 2 x 2 x 3 x 31
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(392, 503) = 197176
GCD(392, 503) = ( 392 x 503 ) / 197176
GCD(392, 503) = 197176 / 197176
GCD(392, 503) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 213
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 213) = 213
GCD(1, 213) = ( 1 x 213 ) / 213
GCD(1, 213) = 213 / 213
GCD(1, 213) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 372
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 372) = 372
GCD(1, 372) = ( 1 x 372 ) / 372
GCD(1, 372) = 372 / 372
GCD(1, 372) = 1
GCD of 392, 503, 213, 372 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 392, 503, 213, 372?
GCD of 392, 503, 213, 372 is 1
2. Where do I get the detailed procedure to find GCD of 392, 503, 213, 372?
You can find a detailed procedure to find GCD of 392, 503, 213, 372 on our page.
3. How to find GCD of 392, 503, 213, 372 on a calculator?
You can find the GCD of 392, 503, 213, 372 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.