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 107, 238, 24 i.e. 1 largest integer that divides all the numbers equally.
GCD of 107, 238, 24 is 1
GCD(107, 238, 24) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 107, 238, 24 is 1
GCD(107, 238, 24) = 1
Given Input numbers are 107, 238, 24
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 107
List of positive integer divisors of 107 that divides 107 without a remainder.
1, 107
Divisors of 238
List of positive integer divisors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
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 107, 238, 24 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 238, 24 is 1.
Therefore, GCD of numbers 107, 238, 24 is 1
Given Input Data is 107, 238, 24
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 107 is 107
Prime Factorization of 238 is 2 x 7 x 17
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(107, 238) = 25466
GCD(107, 238) = ( 107 x 238 ) / 25466
GCD(107, 238) = 25466 / 25466
GCD(107, 238) = 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 107, 238, 24 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 107, 238, 24?
GCD of 107, 238, 24 is 1
2. Where do I get the detailed procedure to find GCD of 107, 238, 24?
You can find a detailed procedure to find GCD of 107, 238, 24 on our page.
3. How to find GCD of 107, 238, 24 on a calculator?
You can find the GCD of 107, 238, 24 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.