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, 205, 808, 448 i.e. 1 largest integer that divides all the numbers equally.
GCD of 104, 205, 808, 448 is 1
GCD(104, 205, 808, 448) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 104, 205, 808, 448 is 1
GCD(104, 205, 808, 448) = 1
Given Input numbers are 104, 205, 808, 448
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 205
List of positive integer divisors of 205 that divides 205 without a remainder.
1, 5, 41, 205
Divisors of 808
List of positive integer divisors of 808 that divides 808 without a remainder.
1, 2, 4, 8, 101, 202, 404, 808
Divisors of 448
List of positive integer divisors of 448 that divides 448 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Greatest Common Divisior
We found the divisors of 104, 205, 808, 448 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 104, 205, 808, 448 is 1.
Therefore, GCD of numbers 104, 205, 808, 448 is 1
Given Input Data is 104, 205, 808, 448
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 205 is 5 x 41
Prime Factorization of 808 is 2 x 2 x 2 x 101
Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7
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, 205) = 21320
GCD(104, 205) = ( 104 x 205 ) / 21320
GCD(104, 205) = 21320 / 21320
GCD(104, 205) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 808
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 808) = 808
GCD(1, 808) = ( 1 x 808 ) / 808
GCD(1, 808) = 808 / 808
GCD(1, 808) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 448
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 448) = 448
GCD(1, 448) = ( 1 x 448 ) / 448
GCD(1, 448) = 448 / 448
GCD(1, 448) = 1
GCD of 104, 205, 808, 448 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 104, 205, 808, 448?
GCD of 104, 205, 808, 448 is 1
2. Where do I get the detailed procedure to find GCD of 104, 205, 808, 448?
You can find a detailed procedure to find GCD of 104, 205, 808, 448 on our page.
3. How to find GCD of 104, 205, 808, 448 on a calculator?
You can find the GCD of 104, 205, 808, 448 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.