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 394, 738, 16, 603 i.e. 1 largest integer that divides all the numbers equally.
GCD of 394, 738, 16, 603 is 1
GCD(394, 738, 16, 603) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 394, 738, 16, 603 is 1
GCD(394, 738, 16, 603) = 1
Given Input numbers are 394, 738, 16, 603
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 394
List of positive integer divisors of 394 that divides 394 without a remainder.
1, 2, 197, 394
Divisors of 738
List of positive integer divisors of 738 that divides 738 without a remainder.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 603
List of positive integer divisors of 603 that divides 603 without a remainder.
1, 3, 9, 67, 201, 603
Greatest Common Divisior
We found the divisors of 394, 738, 16, 603 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 394, 738, 16, 603 is 1.
Therefore, GCD of numbers 394, 738, 16, 603 is 1
Given Input Data is 394, 738, 16, 603
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 394 is 2 x 197
Prime Factorization of 738 is 2 x 3 x 3 x 41
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 603 is 3 x 3 x 67
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(394, 738) = 145386
GCD(394, 738) = ( 394 x 738 ) / 145386
GCD(394, 738) = 290772 / 145386
GCD(394, 738) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 16
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 16) = 16
GCD(2, 16) = ( 2 x 16 ) / 16
GCD(2, 16) = 32 / 16
GCD(2, 16) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 603
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 603) = 1206
GCD(2, 603) = ( 2 x 603 ) / 1206
GCD(2, 603) = 1206 / 1206
GCD(2, 603) = 1
GCD of 394, 738, 16, 603 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 394, 738, 16, 603?
GCD of 394, 738, 16, 603 is 1
2. Where do I get the detailed procedure to find GCD of 394, 738, 16, 603?
You can find a detailed procedure to find GCD of 394, 738, 16, 603 on our page.
3. How to find GCD of 394, 738, 16, 603 on a calculator?
You can find the GCD of 394, 738, 16, 603 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.