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, 812, 289, 483 i.e. 1 largest integer that divides all the numbers equally.
GCD of 268, 812, 289, 483 is 1
GCD(268, 812, 289, 483) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 268, 812, 289, 483 is 1
GCD(268, 812, 289, 483) = 1
Given Input numbers are 268, 812, 289, 483
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 812
List of positive integer divisors of 812 that divides 812 without a remainder.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
Divisors of 289
List of positive integer divisors of 289 that divides 289 without a remainder.
1, 17, 289
Divisors of 483
List of positive integer divisors of 483 that divides 483 without a remainder.
1, 3, 7, 21, 23, 69, 161, 483
Greatest Common Divisior
We found the divisors of 268, 812, 289, 483 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 812, 289, 483 is 1.
Therefore, GCD of numbers 268, 812, 289, 483 is 1
Given Input Data is 268, 812, 289, 483
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 812 is 2 x 2 x 7 x 29
Prime Factorization of 289 is 17 x 17
Prime Factorization of 483 is 3 x 7 x 23
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, 812) = 54404
GCD(268, 812) = ( 268 x 812 ) / 54404
GCD(268, 812) = 217616 / 54404
GCD(268, 812) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 289
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 289) = 1156
GCD(4, 289) = ( 4 x 289 ) / 1156
GCD(4, 289) = 1156 / 1156
GCD(4, 289) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 483
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 483) = 483
GCD(1, 483) = ( 1 x 483 ) / 483
GCD(1, 483) = 483 / 483
GCD(1, 483) = 1
GCD of 268, 812, 289, 483 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 268, 812, 289, 483?
GCD of 268, 812, 289, 483 is 1
2. Where do I get the detailed procedure to find GCD of 268, 812, 289, 483?
You can find a detailed procedure to find GCD of 268, 812, 289, 483 on our page.
3. How to find GCD of 268, 812, 289, 483 on a calculator?
You can find the GCD of 268, 812, 289, 483 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.