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 97, 398, 164, 679 i.e. 1 largest integer that divides all the numbers equally.
GCD of 97, 398, 164, 679 is 1
GCD(97, 398, 164, 679) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 97, 398, 164, 679 is 1
GCD(97, 398, 164, 679) = 1
Given Input numbers are 97, 398, 164, 679
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 97
List of positive integer divisors of 97 that divides 97 without a remainder.
1, 97
Divisors of 398
List of positive integer divisors of 398 that divides 398 without a remainder.
1, 2, 199, 398
Divisors of 164
List of positive integer divisors of 164 that divides 164 without a remainder.
1, 2, 4, 41, 82, 164
Divisors of 679
List of positive integer divisors of 679 that divides 679 without a remainder.
1, 7, 97, 679
Greatest Common Divisior
We found the divisors of 97, 398, 164, 679 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 97, 398, 164, 679 is 1.
Therefore, GCD of numbers 97, 398, 164, 679 is 1
Given Input Data is 97, 398, 164, 679
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 97 is 97
Prime Factorization of 398 is 2 x 199
Prime Factorization of 164 is 2 x 2 x 41
Prime Factorization of 679 is 7 x 97
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(97, 398) = 38606
GCD(97, 398) = ( 97 x 398 ) / 38606
GCD(97, 398) = 38606 / 38606
GCD(97, 398) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 164
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 164) = 164
GCD(1, 164) = ( 1 x 164 ) / 164
GCD(1, 164) = 164 / 164
GCD(1, 164) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 679
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 679) = 679
GCD(1, 679) = ( 1 x 679 ) / 679
GCD(1, 679) = 679 / 679
GCD(1, 679) = 1
GCD of 97, 398, 164, 679 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 97, 398, 164, 679?
GCD of 97, 398, 164, 679 is 1
2. Where do I get the detailed procedure to find GCD of 97, 398, 164, 679?
You can find a detailed procedure to find GCD of 97, 398, 164, 679 on our page.
3. How to find GCD of 97, 398, 164, 679 on a calculator?
You can find the GCD of 97, 398, 164, 679 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.