GCD of 196, 317, 68 Calculator
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 196, 317, 68 i.e. 1 largest integer that divides all the numbers equally.
GCD of 196, 317, 68 is 1
GCD(196, 317, 68) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 196, 317, 68 is 1
GCD(196, 317, 68) = 1
GCDof 196,317,68 is 1
Given Input numbers are 196, 317, 68
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 196
List of positive integer divisors of 196 that divides 196 without a remainder.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 317
List of positive integer divisors of 317 that divides 317 without a remainder.
1, 317
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Greatest Common Divisior
We found the divisors of 196, 317, 68 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 317, 68 is 1.
Therefore, GCD of numbers 196, 317, 68 is 1
Given Input Data is 196, 317, 68
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 196 is 2 x 2 x 7 x 7
Prime Factorization of 317 is 317
Prime Factorization of 68 is 2 x 2 x 17
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 196, 317, 68 using LCM Formula
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(196, 317) = 62132
GCD(196, 317) = ( 196 x 317 ) / 62132
GCD(196, 317) = 62132 / 62132
GCD(196, 317) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 68
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 68) = 68
GCD(1, 68) = ( 1 x 68 ) / 68
GCD(1, 68) = 68 / 68
GCD(1, 68) = 1
GCD of 196, 317, 68 is 1
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FAQs on GCD of numbers 196, 317, 68
1. What is the GCD of 196, 317, 68?
GCD of 196, 317, 68 is 1
2. Where do I get the detailed procedure to find GCD of 196, 317, 68?
You can find a detailed procedure to find GCD of 196, 317, 68 on our page.
3. How to find GCD of 196, 317, 68 on a calculator?
You can find the GCD of 196, 317, 68 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.