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, 329, 110, 374 i.e. 1 largest integer that divides all the numbers equally.
GCD of 85, 329, 110, 374 is 1
GCD(85, 329, 110, 374) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 85, 329, 110, 374 is 1
GCD(85, 329, 110, 374) = 1
Given Input numbers are 85, 329, 110, 374
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 329
List of positive integer divisors of 329 that divides 329 without a remainder.
1, 7, 47, 329
Divisors of 110
List of positive integer divisors of 110 that divides 110 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110
Divisors of 374
List of positive integer divisors of 374 that divides 374 without a remainder.
1, 2, 11, 17, 22, 34, 187, 374
Greatest Common Divisior
We found the divisors of 85, 329, 110, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 329, 110, 374 is 1.
Therefore, GCD of numbers 85, 329, 110, 374 is 1
Given Input Data is 85, 329, 110, 374
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 85 is 5 x 17
Prime Factorization of 329 is 7 x 47
Prime Factorization of 110 is 2 x 5 x 11
Prime Factorization of 374 is 2 x 11 x 17
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, 329) = 27965
GCD(85, 329) = ( 85 x 329 ) / 27965
GCD(85, 329) = 27965 / 27965
GCD(85, 329) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 110
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 110) = 110
GCD(1, 110) = ( 1 x 110 ) / 110
GCD(1, 110) = 110 / 110
GCD(1, 110) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 374
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 374) = 374
GCD(1, 374) = ( 1 x 374 ) / 374
GCD(1, 374) = 374 / 374
GCD(1, 374) = 1
GCD of 85, 329, 110, 374 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 85, 329, 110, 374?
GCD of 85, 329, 110, 374 is 1
2. Where do I get the detailed procedure to find GCD of 85, 329, 110, 374?
You can find a detailed procedure to find GCD of 85, 329, 110, 374 on our page.
3. How to find GCD of 85, 329, 110, 374 on a calculator?
You can find the GCD of 85, 329, 110, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.