GCD of 432, 707, 24, 447 Calculator

Given Input numbers are 432, 707, 24, 447

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 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 447

List of positive integer divisors of 447 that divides 447 without a remainder.

1, 3, 149, 447

Greatest Common Divisior

We found the divisors of 432, 707, 24, 447 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 707, 24, 447 is 1.

Therefore, GCD of numbers 432, 707, 24, 447 is 1

Given Input Data is 432, 707, 24, 447

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 707 is 7 x 101

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 447 is 3 x 149

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, 707) = 305424

GCD(432, 707) = ( 432 x 707 ) / 305424

GCD(432, 707) = 305424 / 305424

GCD(432, 707) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 24

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

LCM(1, 24) = 24

GCD(1, 24) = ( 1 x 24 ) / 24

GCD(1, 24) = 24 / 24

GCD(1, 24) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 447

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

LCM(1, 447) = 447

GCD(1, 447) = ( 1 x 447 ) / 447

GCD(1, 447) = 447 / 447

GCD(1, 447) = 1

GCD of 432, 707, 24, 447 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 995, 773, 18, 660
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• GCD of 343, 262, 71, 802
• GCD of 179, 860, 83, 234
• GCD of 429, 509, 68, 271

1. What is the GCD of 432, 707, 24, 447?

GCD of 432, 707, 24, 447 is 1

2. Where do I get the detailed procedure to find GCD of 432, 707, 24, 447?

You can find a detailed procedure to find GCD of 432, 707, 24, 447 on our page.

3. How to find GCD of 432, 707, 24, 447 on a calculator?

You can find the GCD of 432, 707, 24, 447 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.