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 179, 363, 85, 319 i.e. 1 largest integer that divides all the numbers equally.
GCD of 179, 363, 85, 319 is 1
GCD(179, 363, 85, 319) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 179, 363, 85, 319 is 1
GCD(179, 363, 85, 319) = 1
Given Input numbers are 179, 363, 85, 319
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 179
List of positive integer divisors of 179 that divides 179 without a remainder.
1, 179
Divisors of 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 319
List of positive integer divisors of 319 that divides 319 without a remainder.
1, 11, 29, 319
Greatest Common Divisior
We found the divisors of 179, 363, 85, 319 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 179, 363, 85, 319 is 1.
Therefore, GCD of numbers 179, 363, 85, 319 is 1
Given Input Data is 179, 363, 85, 319
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 179 is 179
Prime Factorization of 363 is 3 x 11 x 11
Prime Factorization of 85 is 5 x 17
Prime Factorization of 319 is 11 x 29
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(179, 363) = 64977
GCD(179, 363) = ( 179 x 363 ) / 64977
GCD(179, 363) = 64977 / 64977
GCD(179, 363) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 85
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 85) = 85
GCD(1, 85) = ( 1 x 85 ) / 85
GCD(1, 85) = 85 / 85
GCD(1, 85) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 319
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 319) = 319
GCD(1, 319) = ( 1 x 319 ) / 319
GCD(1, 319) = 319 / 319
GCD(1, 319) = 1
GCD of 179, 363, 85, 319 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 179, 363, 85, 319?
GCD of 179, 363, 85, 319 is 1
2. Where do I get the detailed procedure to find GCD of 179, 363, 85, 319?
You can find a detailed procedure to find GCD of 179, 363, 85, 319 on our page.
3. How to find GCD of 179, 363, 85, 319 on a calculator?
You can find the GCD of 179, 363, 85, 319 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.