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 24, 955, 255, 800 i.e. 1 largest integer that divides all the numbers equally.
GCD of 24, 955, 255, 800 is 1
GCD(24, 955, 255, 800) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 24, 955, 255, 800 is 1
GCD(24, 955, 255, 800) = 1
Given Input numbers are 24, 955, 255, 800
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 955
List of positive integer divisors of 955 that divides 955 without a remainder.
1, 5, 191, 955
Divisors of 255
List of positive integer divisors of 255 that divides 255 without a remainder.
1, 3, 5, 15, 17, 51, 85, 255
Divisors of 800
List of positive integer divisors of 800 that divides 800 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Greatest Common Divisior
We found the divisors of 24, 955, 255, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 955, 255, 800 is 1.
Therefore, GCD of numbers 24, 955, 255, 800 is 1
Given Input Data is 24, 955, 255, 800
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 955 is 5 x 191
Prime Factorization of 255 is 3 x 5 x 17
Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5
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(24, 955) = 22920
GCD(24, 955) = ( 24 x 955 ) / 22920
GCD(24, 955) = 22920 / 22920
GCD(24, 955) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 255
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 255) = 255
GCD(1, 255) = ( 1 x 255 ) / 255
GCD(1, 255) = 255 / 255
GCD(1, 255) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 800
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 800) = 800
GCD(1, 800) = ( 1 x 800 ) / 800
GCD(1, 800) = 800 / 800
GCD(1, 800) = 1
GCD of 24, 955, 255, 800 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 24, 955, 255, 800?
GCD of 24, 955, 255, 800 is 1
2. Where do I get the detailed procedure to find GCD of 24, 955, 255, 800?
You can find a detailed procedure to find GCD of 24, 955, 255, 800 on our page.
3. How to find GCD of 24, 955, 255, 800 on a calculator?
You can find the GCD of 24, 955, 255, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.