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 617, 985, 18, 346 i.e. 1 largest integer that divides all the numbers equally.
GCD of 617, 985, 18, 346 is 1
GCD(617, 985, 18, 346) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 617, 985, 18, 346 is 1
GCD(617, 985, 18, 346) = 1
Given Input numbers are 617, 985, 18, 346
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 617
List of positive integer divisors of 617 that divides 617 without a remainder.
1, 617
Divisors of 985
List of positive integer divisors of 985 that divides 985 without a remainder.
1, 5, 197, 985
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 346
List of positive integer divisors of 346 that divides 346 without a remainder.
1, 2, 173, 346
Greatest Common Divisior
We found the divisors of 617, 985, 18, 346 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 617, 985, 18, 346 is 1.
Therefore, GCD of numbers 617, 985, 18, 346 is 1
Given Input Data is 617, 985, 18, 346
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 617 is 617
Prime Factorization of 985 is 5 x 197
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 346 is 2 x 173
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(617, 985) = 607745
GCD(617, 985) = ( 617 x 985 ) / 607745
GCD(617, 985) = 607745 / 607745
GCD(617, 985) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 18
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 18) = 18
GCD(1, 18) = ( 1 x 18 ) / 18
GCD(1, 18) = 18 / 18
GCD(1, 18) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 346
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 346) = 346
GCD(1, 346) = ( 1 x 346 ) / 346
GCD(1, 346) = 346 / 346
GCD(1, 346) = 1
GCD of 617, 985, 18, 346 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 617, 985, 18, 346?
GCD of 617, 985, 18, 346 is 1
2. Where do I get the detailed procedure to find GCD of 617, 985, 18, 346?
You can find a detailed procedure to find GCD of 617, 985, 18, 346 on our page.
3. How to find GCD of 617, 985, 18, 346 on a calculator?
You can find the GCD of 617, 985, 18, 346 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.