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, 374, 184, 683 i.e. 1 largest integer that divides all the numbers equally.
GCD of 97, 374, 184, 683 is 1
GCD(97, 374, 184, 683) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 97, 374, 184, 683 is 1
GCD(97, 374, 184, 683) = 1
Given Input numbers are 97, 374, 184, 683
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 374
List of positive integer divisors of 374 that divides 374 without a remainder.
1, 2, 11, 17, 22, 34, 187, 374
Divisors of 184
List of positive integer divisors of 184 that divides 184 without a remainder.
1, 2, 4, 8, 23, 46, 92, 184
Divisors of 683
List of positive integer divisors of 683 that divides 683 without a remainder.
1, 683
Greatest Common Divisior
We found the divisors of 97, 374, 184, 683 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 97, 374, 184, 683 is 1.
Therefore, GCD of numbers 97, 374, 184, 683 is 1
Given Input Data is 97, 374, 184, 683
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 97 is 97
Prime Factorization of 374 is 2 x 11 x 17
Prime Factorization of 184 is 2 x 2 x 2 x 23
Prime Factorization of 683 is 683
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, 374) = 36278
GCD(97, 374) = ( 97 x 374 ) / 36278
GCD(97, 374) = 36278 / 36278
GCD(97, 374) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 184
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 184) = 184
GCD(1, 184) = ( 1 x 184 ) / 184
GCD(1, 184) = 184 / 184
GCD(1, 184) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 683
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 683) = 683
GCD(1, 683) = ( 1 x 683 ) / 683
GCD(1, 683) = 683 / 683
GCD(1, 683) = 1
GCD of 97, 374, 184, 683 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 97, 374, 184, 683?
GCD of 97, 374, 184, 683 is 1
2. Where do I get the detailed procedure to find GCD of 97, 374, 184, 683?
You can find a detailed procedure to find GCD of 97, 374, 184, 683 on our page.
3. How to find GCD of 97, 374, 184, 683 on a calculator?
You can find the GCD of 97, 374, 184, 683 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.