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 268, 758, 25, 241 i.e. 1 largest integer that divides all the numbers equally.
GCD of 268, 758, 25, 241 is 1
GCD(268, 758, 25, 241) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 268, 758, 25, 241 is 1
GCD(268, 758, 25, 241) = 1
Given Input numbers are 268, 758, 25, 241
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 268
List of positive integer divisors of 268 that divides 268 without a remainder.
1, 2, 4, 67, 134, 268
Divisors of 758
List of positive integer divisors of 758 that divides 758 without a remainder.
1, 2, 379, 758
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 241
List of positive integer divisors of 241 that divides 241 without a remainder.
1, 241
Greatest Common Divisior
We found the divisors of 268, 758, 25, 241 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 758, 25, 241 is 1.
Therefore, GCD of numbers 268, 758, 25, 241 is 1
Given Input Data is 268, 758, 25, 241
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 268 is 2 x 2 x 67
Prime Factorization of 758 is 2 x 379
Prime Factorization of 25 is 5 x 5
Prime Factorization of 241 is 241
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(268, 758) = 101572
GCD(268, 758) = ( 268 x 758 ) / 101572
GCD(268, 758) = 203144 / 101572
GCD(268, 758) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 25) = 50
GCD(2, 25) = ( 2 x 25 ) / 50
GCD(2, 25) = 50 / 50
GCD(2, 25) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 241
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 241) = 241
GCD(1, 241) = ( 1 x 241 ) / 241
GCD(1, 241) = 241 / 241
GCD(1, 241) = 1
GCD of 268, 758, 25, 241 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 268, 758, 25, 241?
GCD of 268, 758, 25, 241 is 1
2. Where do I get the detailed procedure to find GCD of 268, 758, 25, 241?
You can find a detailed procedure to find GCD of 268, 758, 25, 241 on our page.
3. How to find GCD of 268, 758, 25, 241 on a calculator?
You can find the GCD of 268, 758, 25, 241 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.