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 256, 820, 11, 104 i.e. 1 largest integer that divides all the numbers equally.
GCD of 256, 820, 11, 104 is 1
GCD(256, 820, 11, 104) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 256, 820, 11, 104 is 1
GCD(256, 820, 11, 104) = 1
Given Input numbers are 256, 820, 11, 104
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 256
List of positive integer divisors of 256 that divides 256 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 256
Divisors of 820
List of positive integer divisors of 820 that divides 820 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
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 256, 820, 11, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 256, 820, 11, 104 is 1.
Therefore, GCD of numbers 256, 820, 11, 104 is 1
Given Input Data is 256, 820, 11, 104
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 820 is 2 x 2 x 5 x 41
Prime Factorization of 11 is 11
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(256, 820) = 52480
GCD(256, 820) = ( 256 x 820 ) / 52480
GCD(256, 820) = 209920 / 52480
GCD(256, 820) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 11
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 11) = 44
GCD(4, 11) = ( 4 x 11 ) / 44
GCD(4, 11) = 44 / 44
GCD(4, 11) = 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 256, 820, 11, 104 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 256, 820, 11, 104?
GCD of 256, 820, 11, 104 is 1
2. Where do I get the detailed procedure to find GCD of 256, 820, 11, 104?
You can find a detailed procedure to find GCD of 256, 820, 11, 104 on our page.
3. How to find GCD of 256, 820, 11, 104 on a calculator?
You can find the GCD of 256, 820, 11, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.