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 513, 483, 96, 912 i.e. 3 largest integer that divides all the numbers equally.
GCD of 513, 483, 96, 912 is 3
GCD(513, 483, 96, 912) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 513, 483, 96, 912 is 3
GCD(513, 483, 96, 912) = 3
Given Input numbers are 513, 483, 96, 912
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 513
List of positive integer divisors of 513 that divides 513 without a remainder.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 483
List of positive integer divisors of 483 that divides 483 without a remainder.
1, 3, 7, 21, 23, 69, 161, 483
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 912
List of positive integer divisors of 912 that divides 912 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Greatest Common Divisior
We found the divisors of 513, 483, 96, 912 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 483, 96, 912 is 3.
Therefore, GCD of numbers 513, 483, 96, 912 is 3
Given Input Data is 513, 483, 96, 912
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 513 is 3 x 3 x 3 x 19
Prime Factorization of 483 is 3 x 7 x 23
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(513, 483) = 82593
GCD(513, 483) = ( 513 x 483 ) / 82593
GCD(513, 483) = 247779 / 82593
GCD(513, 483) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 96) = 96
GCD(3, 96) = ( 3 x 96 ) / 96
GCD(3, 96) = 288 / 96
GCD(3, 96) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 912
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 912) = 912
GCD(3, 912) = ( 3 x 912 ) / 912
GCD(3, 912) = 2736 / 912
GCD(3, 912) = 3
GCD of 513, 483, 96, 912 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 513, 483, 96, 912?
GCD of 513, 483, 96, 912 is 3
2. Where do I get the detailed procedure to find GCD of 513, 483, 96, 912?
You can find a detailed procedure to find GCD of 513, 483, 96, 912 on our page.
3. How to find GCD of 513, 483, 96, 912 on a calculator?
You can find the GCD of 513, 483, 96, 912 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.