GCD of 432, 592, 936, 345 Calculator

Given Input numbers are 432, 592, 936, 345

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 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Greatest Common Divisior

We found the divisors of 432, 592, 936, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 592, 936, 345 is 1.

Therefore, GCD of numbers 432, 592, 936, 345 is 1

Given Input Data is 432, 592, 936, 345

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 592 is 2 x 2 x 2 x 2 x 37

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

Prime Factorization of 345 is 3 x 5 x 23

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, 592) = 15984

GCD(432, 592) = ( 432 x 592 ) / 15984

GCD(432, 592) = 255744 / 15984

GCD(432, 592) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 936

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

LCM(16, 936) = 1872

GCD(16, 936) = ( 16 x 936 ) / 1872

GCD(16, 936) = 14976 / 1872

GCD(16, 936) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 345

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

LCM(8, 345) = 2760

GCD(8, 345) = ( 8 x 345 ) / 2760

GCD(8, 345) = 2760 / 2760

GCD(8, 345) = 1

GCD of 432, 592, 936, 345 is 1

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1. What is the GCD of 432, 592, 936, 345?

GCD of 432, 592, 936, 345 is 1

2. Where do I get the detailed procedure to find GCD of 432, 592, 936, 345?

You can find a detailed procedure to find GCD of 432, 592, 936, 345 on our page.

3. How to find GCD of 432, 592, 936, 345 on a calculator?

You can find the GCD of 432, 592, 936, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.