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 309, 222, 179, 104 i.e. 1 largest integer that divides all the numbers equally.
GCD of 309, 222, 179, 104 is 1
GCD(309, 222, 179, 104) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 309, 222, 179, 104 is 1
GCD(309, 222, 179, 104) = 1
Given Input numbers are 309, 222, 179, 104
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 309
List of positive integer divisors of 309 that divides 309 without a remainder.
1, 3, 103, 309
Divisors of 222
List of positive integer divisors of 222 that divides 222 without a remainder.
1, 2, 3, 6, 37, 74, 111, 222
Divisors of 179
List of positive integer divisors of 179 that divides 179 without a remainder.
1, 179
Divisors of 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Greatest Common Divisior
We found the divisors of 309, 222, 179, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 222, 179, 104 is 1.
Therefore, GCD of numbers 309, 222, 179, 104 is 1
Given Input Data is 309, 222, 179, 104
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 309 is 3 x 103
Prime Factorization of 222 is 2 x 3 x 37
Prime Factorization of 179 is 179
Prime Factorization of 104 is 2 x 2 x 2 x 13
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(309, 222) = 22866
GCD(309, 222) = ( 309 x 222 ) / 22866
GCD(309, 222) = 68598 / 22866
GCD(309, 222) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 179
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 179) = 537
GCD(3, 179) = ( 3 x 179 ) / 537
GCD(3, 179) = 537 / 537
GCD(3, 179) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 104
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 104) = 104
GCD(1, 104) = ( 1 x 104 ) / 104
GCD(1, 104) = 104 / 104
GCD(1, 104) = 1
GCD of 309, 222, 179, 104 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 309, 222, 179, 104?
GCD of 309, 222, 179, 104 is 1
2. Where do I get the detailed procedure to find GCD of 309, 222, 179, 104?
You can find a detailed procedure to find GCD of 309, 222, 179, 104 on our page.
3. How to find GCD of 309, 222, 179, 104 on a calculator?
You can find the GCD of 309, 222, 179, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.