GCD of 432, 448, 69, 867 Calculator

Given Input numbers are 432, 448, 69, 867

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 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Greatest Common Divisior

We found the divisors of 432, 448, 69, 867 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 448, 69, 867 is 1.

Therefore, GCD of numbers 432, 448, 69, 867 is 1

Given Input Data is 432, 448, 69, 867

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 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 69 is 3 x 23

Prime Factorization of 867 is 3 x 17 x 17

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, 448) = 12096

GCD(432, 448) = ( 432 x 448 ) / 12096

GCD(432, 448) = 193536 / 12096

GCD(432, 448) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 69

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

LCM(16, 69) = 1104

GCD(16, 69) = ( 16 x 69 ) / 1104

GCD(16, 69) = 1104 / 1104

GCD(16, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 867

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

LCM(1, 867) = 867

GCD(1, 867) = ( 1 x 867 ) / 867

GCD(1, 867) = 867 / 867

GCD(1, 867) = 1

GCD of 432, 448, 69, 867 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 234, 742, 25, 767
• GCD of 397, 174, 96, 671
• GCD of 384, 692, 40, 145
• GCD of 174, 441, 41, 290
• GCD of 162, 283, 40, 431

1. What is the GCD of 432, 448, 69, 867?

GCD of 432, 448, 69, 867 is 1

2. Where do I get the detailed procedure to find GCD of 432, 448, 69, 867?

You can find a detailed procedure to find GCD of 432, 448, 69, 867 on our page.

3. How to find GCD of 432, 448, 69, 867 on a calculator?

You can find the GCD of 432, 448, 69, 867 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.