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 197, 674, 15, 797 i.e. 1 largest integer that divides all the numbers equally.
GCD of 197, 674, 15, 797 is 1
GCD(197, 674, 15, 797) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 197, 674, 15, 797 is 1
GCD(197, 674, 15, 797) = 1
Given Input numbers are 197, 674, 15, 797
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 197
List of positive integer divisors of 197 that divides 197 without a remainder.
1, 197
Divisors of 674
List of positive integer divisors of 674 that divides 674 without a remainder.
1, 2, 337, 674
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 797
List of positive integer divisors of 797 that divides 797 without a remainder.
1, 797
Greatest Common Divisior
We found the divisors of 197, 674, 15, 797 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 197, 674, 15, 797 is 1.
Therefore, GCD of numbers 197, 674, 15, 797 is 1
Given Input Data is 197, 674, 15, 797
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 197 is 197
Prime Factorization of 674 is 2 x 337
Prime Factorization of 15 is 3 x 5
Prime Factorization of 797 is 797
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(197, 674) = 132778
GCD(197, 674) = ( 197 x 674 ) / 132778
GCD(197, 674) = 132778 / 132778
GCD(197, 674) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 15) = 15
GCD(1, 15) = ( 1 x 15 ) / 15
GCD(1, 15) = 15 / 15
GCD(1, 15) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 797
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 797) = 797
GCD(1, 797) = ( 1 x 797 ) / 797
GCD(1, 797) = 797 / 797
GCD(1, 797) = 1
GCD of 197, 674, 15, 797 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 197, 674, 15, 797?
GCD of 197, 674, 15, 797 is 1
2. Where do I get the detailed procedure to find GCD of 197, 674, 15, 797?
You can find a detailed procedure to find GCD of 197, 674, 15, 797 on our page.
3. How to find GCD of 197, 674, 15, 797 on a calculator?
You can find the GCD of 197, 674, 15, 797 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.