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 261, 296, 11, 464 i.e. 1 largest integer that divides all the numbers equally.
GCD of 261, 296, 11, 464 is 1
GCD(261, 296, 11, 464) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 261, 296, 11, 464 is 1
GCD(261, 296, 11, 464) = 1
Given Input numbers are 261, 296, 11, 464
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 261
List of positive integer divisors of 261 that divides 261 without a remainder.
1, 3, 9, 29, 87, 261
Divisors of 296
List of positive integer divisors of 296 that divides 296 without a remainder.
1, 2, 4, 8, 37, 74, 148, 296
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 464
List of positive integer divisors of 464 that divides 464 without a remainder.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Greatest Common Divisior
We found the divisors of 261, 296, 11, 464 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 261, 296, 11, 464 is 1.
Therefore, GCD of numbers 261, 296, 11, 464 is 1
Given Input Data is 261, 296, 11, 464
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 261 is 3 x 3 x 29
Prime Factorization of 296 is 2 x 2 x 2 x 37
Prime Factorization of 11 is 11
Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29
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(261, 296) = 77256
GCD(261, 296) = ( 261 x 296 ) / 77256
GCD(261, 296) = 77256 / 77256
GCD(261, 296) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 11
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 11) = 11
GCD(1, 11) = ( 1 x 11 ) / 11
GCD(1, 11) = 11 / 11
GCD(1, 11) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 464
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 464) = 464
GCD(1, 464) = ( 1 x 464 ) / 464
GCD(1, 464) = 464 / 464
GCD(1, 464) = 1
GCD of 261, 296, 11, 464 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 261, 296, 11, 464?
GCD of 261, 296, 11, 464 is 1
2. Where do I get the detailed procedure to find GCD of 261, 296, 11, 464?
You can find a detailed procedure to find GCD of 261, 296, 11, 464 on our page.
3. How to find GCD of 261, 296, 11, 464 on a calculator?
You can find the GCD of 261, 296, 11, 464 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.