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 205, 276, 24 i.e. 1 largest integer that divides all the numbers equally.
GCD of 205, 276, 24 is 1
GCD(205, 276, 24) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 205, 276, 24 is 1
GCD(205, 276, 24) = 1
Given Input numbers are 205, 276, 24
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 205
List of positive integer divisors of 205 that divides 205 without a remainder.
1, 5, 41, 205
Divisors of 276
List of positive integer divisors of 276 that divides 276 without a remainder.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Divisors of 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
Greatest Common Divisior
We found the divisors of 205, 276, 24 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 205, 276, 24 is 1.
Therefore, GCD of numbers 205, 276, 24 is 1
Given Input Data is 205, 276, 24
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 205 is 5 x 41
Prime Factorization of 276 is 2 x 2 x 3 x 23
Prime Factorization of 24 is 2 x 2 x 2 x 3
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(205, 276) = 56580
GCD(205, 276) = ( 205 x 276 ) / 56580
GCD(205, 276) = 56580 / 56580
GCD(205, 276) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 24
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 24) = 24
GCD(1, 24) = ( 1 x 24 ) / 24
GCD(1, 24) = 24 / 24
GCD(1, 24) = 1
GCD of 205, 276, 24 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 205, 276, 24?
GCD of 205, 276, 24 is 1
2. Where do I get the detailed procedure to find GCD of 205, 276, 24?
You can find a detailed procedure to find GCD of 205, 276, 24 on our page.
3. How to find GCD of 205, 276, 24 on a calculator?
You can find the GCD of 205, 276, 24 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.