GCD of 309, 299, 95, 432 Calculator

Given Input numbers are 309, 299, 95, 432

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

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 95

List of positive integer divisors of 95 that divides 95 without a remainder.

1, 5, 19, 95

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

Greatest Common Divisior

We found the divisors of 309, 299, 95, 432 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 299, 95, 432 is 1.

Therefore, GCD of numbers 309, 299, 95, 432 is 1

Given Input Data is 309, 299, 95, 432

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 299 is 13 x 23

Prime Factorization of 95 is 5 x 19

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

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(309, 299) = 92391

GCD(309, 299) = ( 309 x 299 ) / 92391

GCD(309, 299) = 92391 / 92391

GCD(309, 299) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 95

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

LCM(1, 95) = 95

GCD(1, 95) = ( 1 x 95 ) / 95

GCD(1, 95) = 95 / 95

GCD(1, 95) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 432

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

LCM(1, 432) = 432

GCD(1, 432) = ( 1 x 432 ) / 432

GCD(1, 432) = 432 / 432

GCD(1, 432) = 1

GCD of 309, 299, 95, 432 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 583, 479, 46, 818
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• GCD of 570, 373, 87, 928
• GCD of 712, 314, 47, 884
• GCD of 449, 519, 57, 530

1. What is the GCD of 309, 299, 95, 432?

GCD of 309, 299, 95, 432 is 1

2. Where do I get the detailed procedure to find GCD of 309, 299, 95, 432?

You can find a detailed procedure to find GCD of 309, 299, 95, 432 on our page.

3. How to find GCD of 309, 299, 95, 432 on a calculator?

You can find the GCD of 309, 299, 95, 432 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.