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 917, 254, 13, 345 i.e. 1 largest integer that divides all the numbers equally.
GCD of 917, 254, 13, 345 is 1
GCD(917, 254, 13, 345) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 917, 254, 13, 345 is 1
GCD(917, 254, 13, 345) = 1
Given Input numbers are 917, 254, 13, 345
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 917
List of positive integer divisors of 917 that divides 917 without a remainder.
1, 7, 131, 917
Divisors of 254
List of positive integer divisors of 254 that divides 254 without a remainder.
1, 2, 127, 254
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 345
List of positive integer divisors of 345 that divides 345 without a remainder.
1, 3, 5, 15, 23, 69, 115, 345
Greatest Common Divisior
We found the divisors of 917, 254, 13, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 917, 254, 13, 345 is 1.
Therefore, GCD of numbers 917, 254, 13, 345 is 1
Given Input Data is 917, 254, 13, 345
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 917 is 7 x 131
Prime Factorization of 254 is 2 x 127
Prime Factorization of 13 is 13
Prime Factorization of 345 is 3 x 5 x 23
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(917, 254) = 232918
GCD(917, 254) = ( 917 x 254 ) / 232918
GCD(917, 254) = 232918 / 232918
GCD(917, 254) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 13) = 13
GCD(1, 13) = ( 1 x 13 ) / 13
GCD(1, 13) = 13 / 13
GCD(1, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 345
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 345) = 345
GCD(1, 345) = ( 1 x 345 ) / 345
GCD(1, 345) = 345 / 345
GCD(1, 345) = 1
GCD of 917, 254, 13, 345 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 917, 254, 13, 345?
GCD of 917, 254, 13, 345 is 1
2. Where do I get the detailed procedure to find GCD of 917, 254, 13, 345?
You can find a detailed procedure to find GCD of 917, 254, 13, 345 on our page.
3. How to find GCD of 917, 254, 13, 345 on a calculator?
You can find the GCD of 917, 254, 13, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.