GCD of 423, 513, 96, 109 Calculator

Given Input numbers are 423, 513, 96, 109

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

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 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 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Greatest Common Divisior

We found the divisors of 423, 513, 96, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 423, 513, 96, 109 is 1.

Therefore, GCD of numbers 423, 513, 96, 109 is 1

Given Input Data is 423, 513, 96, 109

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 513 is 3 x 3 x 3 x 19

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 109 is 109

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(423, 513) = 24111

GCD(423, 513) = ( 423 x 513 ) / 24111

GCD(423, 513) = 216999 / 24111

GCD(423, 513) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 96

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(9, 96) = 288

GCD(9, 96) = ( 9 x 96 ) / 288

GCD(9, 96) = 864 / 288

GCD(9, 96) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 109

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 109) = 327

GCD(3, 109) = ( 3 x 109 ) / 327

GCD(3, 109) = 327 / 327

GCD(3, 109) = 1

GCD of 423, 513, 96, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 545, 576, 35, 682
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• GCD of 422, 594, 33, 667
• GCD of 578, 402, 72, 527
• GCD of 449, 712, 52, 151

1. What is the GCD of 423, 513, 96, 109?

GCD of 423, 513, 96, 109 is 1

2. Where do I get the detailed procedure to find GCD of 423, 513, 96, 109?

You can find a detailed procedure to find GCD of 423, 513, 96, 109 on our page.

3. How to find GCD of 423, 513, 96, 109 on a calculator?

You can find the GCD of 423, 513, 96, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.