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, 665, 873, 308 i.e. 1 largest integer that divides all the numbers equally.
GCD of 85, 665, 873, 308 is 1
GCD(85, 665, 873, 308) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 85, 665, 873, 308 is 1
GCD(85, 665, 873, 308) = 1
Given Input numbers are 85, 665, 873, 308
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 665
List of positive integer divisors of 665 that divides 665 without a remainder.
1, 5, 7, 19, 35, 95, 133, 665
Divisors of 873
List of positive integer divisors of 873 that divides 873 without a remainder.
1, 3, 9, 97, 291, 873
Divisors of 308
List of positive integer divisors of 308 that divides 308 without a remainder.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Greatest Common Divisior
We found the divisors of 85, 665, 873, 308 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 665, 873, 308 is 1.
Therefore, GCD of numbers 85, 665, 873, 308 is 1
Given Input Data is 85, 665, 873, 308
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 85 is 5 x 17
Prime Factorization of 665 is 5 x 7 x 19
Prime Factorization of 873 is 3 x 3 x 97
Prime Factorization of 308 is 2 x 2 x 7 x 11
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, 665) = 11305
GCD(85, 665) = ( 85 x 665 ) / 11305
GCD(85, 665) = 56525 / 11305
GCD(85, 665) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 873
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 873) = 4365
GCD(5, 873) = ( 5 x 873 ) / 4365
GCD(5, 873) = 4365 / 4365
GCD(5, 873) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 308
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 308) = 308
GCD(1, 308) = ( 1 x 308 ) / 308
GCD(1, 308) = 308 / 308
GCD(1, 308) = 1
GCD of 85, 665, 873, 308 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 85, 665, 873, 308?
GCD of 85, 665, 873, 308 is 1
2. Where do I get the detailed procedure to find GCD of 85, 665, 873, 308?
You can find a detailed procedure to find GCD of 85, 665, 873, 308 on our page.
3. How to find GCD of 85, 665, 873, 308 on a calculator?
You can find the GCD of 85, 665, 873, 308 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.