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 104, 369, 45, 683 i.e. 1 largest integer that divides all the numbers equally.
GCD of 104, 369, 45, 683 is 1
GCD(104, 369, 45, 683) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 104, 369, 45, 683 is 1
GCD(104, 369, 45, 683) = 1
Given Input numbers are 104, 369, 45, 683
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
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 104, 369, 45, 683 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 104, 369, 45, 683 is 1.
Therefore, GCD of numbers 104, 369, 45, 683 is 1
Given Input Data is 104, 369, 45, 683
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 104 is 2 x 2 x 2 x 13
Prime Factorization of 369 is 3 x 3 x 41
Prime Factorization of 45 is 3 x 3 x 5
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(104, 369) = 38376
GCD(104, 369) = ( 104 x 369 ) / 38376
GCD(104, 369) = 38376 / 38376
GCD(104, 369) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 45) = 45
GCD(1, 45) = ( 1 x 45 ) / 45
GCD(1, 45) = 45 / 45
GCD(1, 45) = 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 104, 369, 45, 683 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 104, 369, 45, 683?
GCD of 104, 369, 45, 683 is 1
2. Where do I get the detailed procedure to find GCD of 104, 369, 45, 683?
You can find a detailed procedure to find GCD of 104, 369, 45, 683 on our page.
3. How to find GCD of 104, 369, 45, 683 on a calculator?
You can find the GCD of 104, 369, 45, 683 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.