GCD of 126, 432, 428, 513 Calculator

Given Input numbers are 126, 432, 428, 513

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

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Greatest Common Divisior

We found the divisors of 126, 432, 428, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 432, 428, 513 is 1.

Therefore, GCD of numbers 126, 432, 428, 513 is 1

Given Input Data is 126, 432, 428, 513

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

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 428 is 2 x 2 x 107

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

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(126, 432) = 3024

GCD(126, 432) = ( 126 x 432 ) / 3024

GCD(126, 432) = 54432 / 3024

GCD(126, 432) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 428

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

LCM(18, 428) = 3852

GCD(18, 428) = ( 18 x 428 ) / 3852

GCD(18, 428) = 7704 / 3852

GCD(18, 428) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 513

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

LCM(2, 513) = 1026

GCD(2, 513) = ( 2 x 513 ) / 1026

GCD(2, 513) = 1026 / 1026

GCD(2, 513) = 1

GCD of 126, 432, 428, 513 is 1

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• GCD of 955, 193, 665, 743
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1. What is the GCD of 126, 432, 428, 513?

GCD of 126, 432, 428, 513 is 1

2. Where do I get the detailed procedure to find GCD of 126, 432, 428, 513?

You can find a detailed procedure to find GCD of 126, 432, 428, 513 on our page.

3. How to find GCD of 126, 432, 428, 513 on a calculator?

You can find the GCD of 126, 432, 428, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.