GCD of 432, 304, 607, 369 Calculator

Given Input numbers are 432, 304, 607, 369

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

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 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 607

List of positive integer divisors of 607 that divides 607 without a remainder.

1, 607

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Greatest Common Divisior

We found the divisors of 432, 304, 607, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 304, 607, 369 is 1.

Therefore, GCD of numbers 432, 304, 607, 369 is 1

Given Input Data is 432, 304, 607, 369

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

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

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 607 is 607

Prime Factorization of 369 is 3 x 3 x 41

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(432, 304) = 8208

GCD(432, 304) = ( 432 x 304 ) / 8208

GCD(432, 304) = 131328 / 8208

GCD(432, 304) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 607

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

LCM(16, 607) = 9712

GCD(16, 607) = ( 16 x 607 ) / 9712

GCD(16, 607) = 9712 / 9712

GCD(16, 607) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 369

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

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

GCD(1, 369) = 369 / 369

GCD(1, 369) = 1

GCD of 432, 304, 607, 369 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 885, 792, 945, 368
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• GCD of 615, 836, 224, 775

1. What is the GCD of 432, 304, 607, 369?

GCD of 432, 304, 607, 369 is 1

2. Where do I get the detailed procedure to find GCD of 432, 304, 607, 369?

You can find a detailed procedure to find GCD of 432, 304, 607, 369 on our page.

3. How to find GCD of 432, 304, 607, 369 on a calculator?

You can find the GCD of 432, 304, 607, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.