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, 917, 366, 223 i.e. 1 largest integer that divides all the numbers equally.
GCD of 15, 917, 366, 223 is 1
GCD(15, 917, 366, 223) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 15, 917, 366, 223 is 1
GCD(15, 917, 366, 223) = 1
Given Input numbers are 15, 917, 366, 223
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 917
List of positive integer divisors of 917 that divides 917 without a remainder.
1, 7, 131, 917
Divisors of 366
List of positive integer divisors of 366 that divides 366 without a remainder.
1, 2, 3, 6, 61, 122, 183, 366
Divisors of 223
List of positive integer divisors of 223 that divides 223 without a remainder.
1, 223
Greatest Common Divisior
We found the divisors of 15, 917, 366, 223 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 917, 366, 223 is 1.
Therefore, GCD of numbers 15, 917, 366, 223 is 1
Given Input Data is 15, 917, 366, 223
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 15 is 3 x 5
Prime Factorization of 917 is 7 x 131
Prime Factorization of 366 is 2 x 3 x 61
Prime Factorization of 223 is 223
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, 917) = 13755
GCD(15, 917) = ( 15 x 917 ) / 13755
GCD(15, 917) = 13755 / 13755
GCD(15, 917) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 366
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 366) = 366
GCD(1, 366) = ( 1 x 366 ) / 366
GCD(1, 366) = 366 / 366
GCD(1, 366) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 223
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 223) = 223
GCD(1, 223) = ( 1 x 223 ) / 223
GCD(1, 223) = 223 / 223
GCD(1, 223) = 1
GCD of 15, 917, 366, 223 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 15, 917, 366, 223?
GCD of 15, 917, 366, 223 is 1
2. Where do I get the detailed procedure to find GCD of 15, 917, 366, 223?
You can find a detailed procedure to find GCD of 15, 917, 366, 223 on our page.
3. How to find GCD of 15, 917, 366, 223 on a calculator?
You can find the GCD of 15, 917, 366, 223 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.