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 104, 472, 80, 185 i.e. 1 largest integer that divides all the numbers equally.
GCD of 104, 472, 80, 185 is 1
GCD(104, 472, 80, 185) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 104, 472, 80, 185 is 1
GCD(104, 472, 80, 185) = 1
Given Input numbers are 104, 472, 80, 185
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 472
List of positive integer divisors of 472 that divides 472 without a remainder.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 185
List of positive integer divisors of 185 that divides 185 without a remainder.
1, 5, 37, 185
Greatest Common Divisior
We found the divisors of 104, 472, 80, 185 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 104, 472, 80, 185 is 1.
Therefore, GCD of numbers 104, 472, 80, 185 is 1
Given Input Data is 104, 472, 80, 185
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 104 is 2 x 2 x 2 x 13
Prime Factorization of 472 is 2 x 2 x 2 x 59
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 185 is 5 x 37
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(104, 472) = 6136
GCD(104, 472) = ( 104 x 472 ) / 6136
GCD(104, 472) = 49088 / 6136
GCD(104, 472) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 80) = 80
GCD(8, 80) = ( 8 x 80 ) / 80
GCD(8, 80) = 640 / 80
GCD(8, 80) = 8
Step3:
Here we consider the GCD from the above i.e. 8 as first number and the next as 185
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 185) = 1480
GCD(8, 185) = ( 8 x 185 ) / 1480
GCD(8, 185) = 1480 / 1480
GCD(8, 185) = 1
GCD of 104, 472, 80, 185 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 104, 472, 80, 185?
GCD of 104, 472, 80, 185 is 1
2. Where do I get the detailed procedure to find GCD of 104, 472, 80, 185?
You can find a detailed procedure to find GCD of 104, 472, 80, 185 on our page.
3. How to find GCD of 104, 472, 80, 185 on a calculator?
You can find the GCD of 104, 472, 80, 185 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.