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 15, 348, 341, 845 i.e. 1 largest integer that divides all the numbers equally.
GCD of 15, 348, 341, 845 is 1
GCD(15, 348, 341, 845) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 15, 348, 341, 845 is 1
GCD(15, 348, 341, 845) = 1
Given Input numbers are 15, 348, 341, 845
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 348
List of positive integer divisors of 348 that divides 348 without a remainder.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 341
List of positive integer divisors of 341 that divides 341 without a remainder.
1, 11, 31, 341
Divisors of 845
List of positive integer divisors of 845 that divides 845 without a remainder.
1, 5, 13, 65, 169, 845
Greatest Common Divisior
We found the divisors of 15, 348, 341, 845 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 348, 341, 845 is 1.
Therefore, GCD of numbers 15, 348, 341, 845 is 1
Given Input Data is 15, 348, 341, 845
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 15 is 3 x 5
Prime Factorization of 348 is 2 x 2 x 3 x 29
Prime Factorization of 341 is 11 x 31
Prime Factorization of 845 is 5 x 13 x 13
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(15, 348) = 1740
GCD(15, 348) = ( 15 x 348 ) / 1740
GCD(15, 348) = 5220 / 1740
GCD(15, 348) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 341
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 341) = 1023
GCD(3, 341) = ( 3 x 341 ) / 1023
GCD(3, 341) = 1023 / 1023
GCD(3, 341) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 845
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 845) = 845
GCD(1, 845) = ( 1 x 845 ) / 845
GCD(1, 845) = 845 / 845
GCD(1, 845) = 1
GCD of 15, 348, 341, 845 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 15, 348, 341, 845?
GCD of 15, 348, 341, 845 is 1
2. Where do I get the detailed procedure to find GCD of 15, 348, 341, 845?
You can find a detailed procedure to find GCD of 15, 348, 341, 845 on our page.
3. How to find GCD of 15, 348, 341, 845 on a calculator?
You can find the GCD of 15, 348, 341, 845 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.