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 501, 266, 26, 256 i.e. 1 largest integer that divides all the numbers equally.
GCD of 501, 266, 26, 256 is 1
GCD(501, 266, 26, 256) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 501, 266, 26, 256 is 1
GCD(501, 266, 26, 256) = 1
Given Input numbers are 501, 266, 26, 256
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 501
List of positive integer divisors of 501 that divides 501 without a remainder.
1, 3, 167, 501
Divisors of 266
List of positive integer divisors of 266 that divides 266 without a remainder.
1, 2, 7, 14, 19, 38, 133, 266
Divisors of 26
List of positive integer divisors of 26 that divides 26 without a remainder.
1, 2, 13, 26
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
Greatest Common Divisior
We found the divisors of 501, 266, 26, 256 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 501, 266, 26, 256 is 1.
Therefore, GCD of numbers 501, 266, 26, 256 is 1
Given Input Data is 501, 266, 26, 256
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 501 is 3 x 167
Prime Factorization of 266 is 2 x 7 x 19
Prime Factorization of 26 is 2 x 13
Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
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(501, 266) = 133266
GCD(501, 266) = ( 501 x 266 ) / 133266
GCD(501, 266) = 133266 / 133266
GCD(501, 266) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 26
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 26) = 26
GCD(1, 26) = ( 1 x 26 ) / 26
GCD(1, 26) = 26 / 26
GCD(1, 26) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 256
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 256) = 256
GCD(1, 256) = ( 1 x 256 ) / 256
GCD(1, 256) = 256 / 256
GCD(1, 256) = 1
GCD of 501, 266, 26, 256 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 501, 266, 26, 256?
GCD of 501, 266, 26, 256 is 1
2. Where do I get the detailed procedure to find GCD of 501, 266, 26, 256?
You can find a detailed procedure to find GCD of 501, 266, 26, 256 on our page.
3. How to find GCD of 501, 266, 26, 256 on a calculator?
You can find the GCD of 501, 266, 26, 256 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.