GCD of 513, 483, 96, 912 Calculator

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.

• GCD of 224, 884, 12, 631
• GCD of 498, 812, 95, 843
• GCD of 231, 786, 16, 147
• GCD of 484, 322, 21, 966
• GCD of 184, 597, 78, 982

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.