GCD of 432, 107, 143, 469 Calculator

Given Input numbers are 432, 107, 143, 469

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 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Greatest Common Divisior

We found the divisors of 432, 107, 143, 469 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 107, 143, 469 is 1.

Therefore, GCD of numbers 432, 107, 143, 469 is 1

Given Input Data is 432, 107, 143, 469

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 107 is 107

Prime Factorization of 143 is 11 x 13

Prime Factorization of 469 is 7 x 67

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, 107) = 46224

GCD(432, 107) = ( 432 x 107 ) / 46224

GCD(432, 107) = 46224 / 46224

GCD(432, 107) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 143

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

LCM(1, 143) = 143

GCD(1, 143) = ( 1 x 143 ) / 143

GCD(1, 143) = 143 / 143

GCD(1, 143) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 469

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

LCM(1, 469) = 469

GCD(1, 469) = ( 1 x 469 ) / 469

GCD(1, 469) = 469 / 469

GCD(1, 469) = 1

GCD of 432, 107, 143, 469 is 1

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1. What is the GCD of 432, 107, 143, 469?

GCD of 432, 107, 143, 469 is 1

2. Where do I get the detailed procedure to find GCD of 432, 107, 143, 469?

You can find a detailed procedure to find GCD of 432, 107, 143, 469 on our page.

3. How to find GCD of 432, 107, 143, 469 on a calculator?

You can find the GCD of 432, 107, 143, 469 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.