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, 361, 16 i.e. 1 largest integer that divides all the numbers equally.
GCD of 392, 361, 16 is 1
GCD(392, 361, 16) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 392, 361, 16 is 1
GCD(392, 361, 16) = 1
Given Input numbers are 392, 361, 16
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 361
List of positive integer divisors of 361 that divides 361 without a remainder.
1, 19, 361
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Greatest Common Divisior
We found the divisors of 392, 361, 16 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 392, 361, 16 is 1.
Therefore, GCD of numbers 392, 361, 16 is 1
Given Input Data is 392, 361, 16
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 361 is 19 x 19
Prime Factorization of 16 is 2 x 2 x 2 x 2
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, 361) = 141512
GCD(392, 361) = ( 392 x 361 ) / 141512
GCD(392, 361) = 141512 / 141512
GCD(392, 361) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 16
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 16) = 16
GCD(1, 16) = ( 1 x 16 ) / 16
GCD(1, 16) = 16 / 16
GCD(1, 16) = 1
GCD of 392, 361, 16 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 392, 361, 16?
GCD of 392, 361, 16 is 1
2. Where do I get the detailed procedure to find GCD of 392, 361, 16?
You can find a detailed procedure to find GCD of 392, 361, 16 on our page.
3. How to find GCD of 392, 361, 16 on a calculator?
You can find the GCD of 392, 361, 16 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.