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 11, 468, 287, 135 i.e. 1 largest integer that divides all the numbers equally.
GCD of 11, 468, 287, 135 is 1
GCD(11, 468, 287, 135) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 11, 468, 287, 135 is 1
GCD(11, 468, 287, 135) = 1
Given Input numbers are 11, 468, 287, 135
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 287
List of positive integer divisors of 287 that divides 287 without a remainder.
1, 7, 41, 287
Divisors of 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
Greatest Common Divisior
We found the divisors of 11, 468, 287, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 11, 468, 287, 135 is 1.
Therefore, GCD of numbers 11, 468, 287, 135 is 1
Given Input Data is 11, 468, 287, 135
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 11 is 11
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
Prime Factorization of 287 is 7 x 41
Prime Factorization of 135 is 3 x 3 x 3 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(11, 468) = 5148
GCD(11, 468) = ( 11 x 468 ) / 5148
GCD(11, 468) = 5148 / 5148
GCD(11, 468) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 287
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 287) = 287
GCD(1, 287) = ( 1 x 287 ) / 287
GCD(1, 287) = 287 / 287
GCD(1, 287) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 135
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 135) = 135
GCD(1, 135) = ( 1 x 135 ) / 135
GCD(1, 135) = 135 / 135
GCD(1, 135) = 1
GCD of 11, 468, 287, 135 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 11, 468, 287, 135?
GCD of 11, 468, 287, 135 is 1
2. Where do I get the detailed procedure to find GCD of 11, 468, 287, 135?
You can find a detailed procedure to find GCD of 11, 468, 287, 135 on our page.
3. How to find GCD of 11, 468, 287, 135 on a calculator?
You can find the GCD of 11, 468, 287, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.