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 316, 192, 48, 197 i.e. 1 largest integer that divides all the numbers equally.
GCD of 316, 192, 48, 197 is 1
GCD(316, 192, 48, 197) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 316, 192, 48, 197 is 1
GCD(316, 192, 48, 197) = 1
Given Input numbers are 316, 192, 48, 197
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 316
List of positive integer divisors of 316 that divides 316 without a remainder.
1, 2, 4, 79, 158, 316
Divisors of 192
List of positive integer divisors of 192 that divides 192 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 197
List of positive integer divisors of 197 that divides 197 without a remainder.
1, 197
Greatest Common Divisior
We found the divisors of 316, 192, 48, 197 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 316, 192, 48, 197 is 1.
Therefore, GCD of numbers 316, 192, 48, 197 is 1
Given Input Data is 316, 192, 48, 197
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 316 is 2 x 2 x 79
Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 197 is 197
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(316, 192) = 15168
GCD(316, 192) = ( 316 x 192 ) / 15168
GCD(316, 192) = 60672 / 15168
GCD(316, 192) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 48
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 48) = 48
GCD(4, 48) = ( 4 x 48 ) / 48
GCD(4, 48) = 192 / 48
GCD(4, 48) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 197
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 197) = 788
GCD(4, 197) = ( 4 x 197 ) / 788
GCD(4, 197) = 788 / 788
GCD(4, 197) = 1
GCD of 316, 192, 48, 197 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 316, 192, 48, 197?
GCD of 316, 192, 48, 197 is 1
2. Where do I get the detailed procedure to find GCD of 316, 192, 48, 197?
You can find a detailed procedure to find GCD of 316, 192, 48, 197 on our page.
3. How to find GCD of 316, 192, 48, 197 on a calculator?
You can find the GCD of 316, 192, 48, 197 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.