GCD of 432, 114, 437 Calculator

Given Input numbers are 432, 114, 437

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 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 437

List of positive integer divisors of 437 that divides 437 without a remainder.

1, 19, 23, 437

Greatest Common Divisior

We found the divisors of 432, 114, 437 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 114, 437 is 1.

Therefore, GCD of numbers 432, 114, 437 is 1

Given Input Data is 432, 114, 437

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 114 is 2 x 3 x 19

Prime Factorization of 437 is 19 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, 114) = 8208

GCD(432, 114) = ( 432 x 114 ) / 8208

GCD(432, 114) = 49248 / 8208

GCD(432, 114) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 437

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

LCM(6, 437) = 2622

GCD(6, 437) = ( 6 x 437 ) / 2622

GCD(6, 437) = 2622 / 2622

GCD(6, 437) = 1

GCD of 432, 114, 437 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 267, 438, 118
• GCD of 250, 183, 332
• GCD of 606, 189, 661
• GCD of 660, 411, 389
• GCD of 388, 602, 483

1. What is the GCD of 432, 114, 437?

GCD of 432, 114, 437 is 1

2. Where do I get the detailed procedure to find GCD of 432, 114, 437?

You can find a detailed procedure to find GCD of 432, 114, 437 on our page.

3. How to find GCD of 432, 114, 437 on a calculator?

You can find the GCD of 432, 114, 437 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.