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 367, 345, 923, 300 i.e. 1 largest integer that divides all the numbers equally.
GCD of 367, 345, 923, 300 is 1
GCD(367, 345, 923, 300) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 367, 345, 923, 300 is 1
GCD(367, 345, 923, 300) = 1
Given Input numbers are 367, 345, 923, 300
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 367
List of positive integer divisors of 367 that divides 367 without a remainder.
1, 367
Divisors of 345
List of positive integer divisors of 345 that divides 345 without a remainder.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 923
List of positive integer divisors of 923 that divides 923 without a remainder.
1, 13, 71, 923
Divisors of 300
List of positive integer divisors of 300 that divides 300 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Greatest Common Divisior
We found the divisors of 367, 345, 923, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 367, 345, 923, 300 is 1.
Therefore, GCD of numbers 367, 345, 923, 300 is 1
Given Input Data is 367, 345, 923, 300
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 367 is 367
Prime Factorization of 345 is 3 x 5 x 23
Prime Factorization of 923 is 13 x 71
Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5
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(367, 345) = 126615
GCD(367, 345) = ( 367 x 345 ) / 126615
GCD(367, 345) = 126615 / 126615
GCD(367, 345) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 923
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 923) = 923
GCD(1, 923) = ( 1 x 923 ) / 923
GCD(1, 923) = 923 / 923
GCD(1, 923) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 300
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 300) = 300
GCD(1, 300) = ( 1 x 300 ) / 300
GCD(1, 300) = 300 / 300
GCD(1, 300) = 1
GCD of 367, 345, 923, 300 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 367, 345, 923, 300?
GCD of 367, 345, 923, 300 is 1
2. Where do I get the detailed procedure to find GCD of 367, 345, 923, 300?
You can find a detailed procedure to find GCD of 367, 345, 923, 300 on our page.
3. How to find GCD of 367, 345, 923, 300 on a calculator?
You can find the GCD of 367, 345, 923, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.