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 85, 293, 774, 329 i.e. 1 largest integer that divides all the numbers equally.
GCD of 85, 293, 774, 329 is 1
GCD(85, 293, 774, 329) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 85, 293, 774, 329 is 1
GCD(85, 293, 774, 329) = 1
Given Input numbers are 85, 293, 774, 329
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 293
List of positive integer divisors of 293 that divides 293 without a remainder.
1, 293
Divisors of 774
List of positive integer divisors of 774 that divides 774 without a remainder.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Divisors of 329
List of positive integer divisors of 329 that divides 329 without a remainder.
1, 7, 47, 329
Greatest Common Divisior
We found the divisors of 85, 293, 774, 329 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 293, 774, 329 is 1.
Therefore, GCD of numbers 85, 293, 774, 329 is 1
Given Input Data is 85, 293, 774, 329
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 85 is 5 x 17
Prime Factorization of 293 is 293
Prime Factorization of 774 is 2 x 3 x 3 x 43
Prime Factorization of 329 is 7 x 47
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(85, 293) = 24905
GCD(85, 293) = ( 85 x 293 ) / 24905
GCD(85, 293) = 24905 / 24905
GCD(85, 293) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 774
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 774) = 774
GCD(1, 774) = ( 1 x 774 ) / 774
GCD(1, 774) = 774 / 774
GCD(1, 774) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 329
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 329) = 329
GCD(1, 329) = ( 1 x 329 ) / 329
GCD(1, 329) = 329 / 329
GCD(1, 329) = 1
GCD of 85, 293, 774, 329 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 85, 293, 774, 329?
GCD of 85, 293, 774, 329 is 1
2. Where do I get the detailed procedure to find GCD of 85, 293, 774, 329?
You can find a detailed procedure to find GCD of 85, 293, 774, 329 on our page.
3. How to find GCD of 85, 293, 774, 329 on a calculator?
You can find the GCD of 85, 293, 774, 329 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.