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 23, 780, 341, 367 i.e. 1 largest integer that divides all the numbers equally.
GCD of 23, 780, 341, 367 is 1
GCD(23, 780, 341, 367) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 23, 780, 341, 367 is 1
GCD(23, 780, 341, 367) = 1
Given Input numbers are 23, 780, 341, 367
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 23
List of positive integer divisors of 23 that divides 23 without a remainder.
1, 23
Divisors of 780
List of positive integer divisors of 780 that divides 780 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 341
List of positive integer divisors of 341 that divides 341 without a remainder.
1, 11, 31, 341
Divisors of 367
List of positive integer divisors of 367 that divides 367 without a remainder.
1, 367
Greatest Common Divisior
We found the divisors of 23, 780, 341, 367 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 23, 780, 341, 367 is 1.
Therefore, GCD of numbers 23, 780, 341, 367 is 1
Given Input Data is 23, 780, 341, 367
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 23 is 23
Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13
Prime Factorization of 341 is 11 x 31
Prime Factorization of 367 is 367
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(23, 780) = 17940
GCD(23, 780) = ( 23 x 780 ) / 17940
GCD(23, 780) = 17940 / 17940
GCD(23, 780) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 341
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 341) = 341
GCD(1, 341) = ( 1 x 341 ) / 341
GCD(1, 341) = 341 / 341
GCD(1, 341) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 367
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 367) = 367
GCD(1, 367) = ( 1 x 367 ) / 367
GCD(1, 367) = 367 / 367
GCD(1, 367) = 1
GCD of 23, 780, 341, 367 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 23, 780, 341, 367?
GCD of 23, 780, 341, 367 is 1
2. Where do I get the detailed procedure to find GCD of 23, 780, 341, 367?
You can find a detailed procedure to find GCD of 23, 780, 341, 367 on our page.
3. How to find GCD of 23, 780, 341, 367 on a calculator?
You can find the GCD of 23, 780, 341, 367 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.