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 117, 598, 325, 885 i.e. 1 largest integer that divides all the numbers equally.
GCD of 117, 598, 325, 885 is 1
GCD(117, 598, 325, 885) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 117, 598, 325, 885 is 1
GCD(117, 598, 325, 885) = 1
Given Input numbers are 117, 598, 325, 885
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
Divisors of 598
List of positive integer divisors of 598 that divides 598 without a remainder.
1, 2, 13, 23, 26, 46, 299, 598
Divisors of 325
List of positive integer divisors of 325 that divides 325 without a remainder.
1, 5, 13, 25, 65, 325
Divisors of 885
List of positive integer divisors of 885 that divides 885 without a remainder.
1, 3, 5, 15, 59, 177, 295, 885
Greatest Common Divisior
We found the divisors of 117, 598, 325, 885 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 598, 325, 885 is 1.
Therefore, GCD of numbers 117, 598, 325, 885 is 1
Given Input Data is 117, 598, 325, 885
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 117 is 3 x 3 x 13
Prime Factorization of 598 is 2 x 13 x 23
Prime Factorization of 325 is 5 x 5 x 13
Prime Factorization of 885 is 3 x 5 x 59
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(117, 598) = 5382
GCD(117, 598) = ( 117 x 598 ) / 5382
GCD(117, 598) = 69966 / 5382
GCD(117, 598) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 325
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 325) = 325
GCD(13, 325) = ( 13 x 325 ) / 325
GCD(13, 325) = 4225 / 325
GCD(13, 325) = 13
Step3:
Here we consider the GCD from the above i.e. 13 as first number and the next as 885
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 885) = 11505
GCD(13, 885) = ( 13 x 885 ) / 11505
GCD(13, 885) = 11505 / 11505
GCD(13, 885) = 1
GCD of 117, 598, 325, 885 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 117, 598, 325, 885?
GCD of 117, 598, 325, 885 is 1
2. Where do I get the detailed procedure to find GCD of 117, 598, 325, 885?
You can find a detailed procedure to find GCD of 117, 598, 325, 885 on our page.
3. How to find GCD of 117, 598, 325, 885 on a calculator?
You can find the GCD of 117, 598, 325, 885 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.