GCD of 552, 822, 432 Calculator

Given Input numbers are 552, 822, 432

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

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

Greatest Common Divisior

We found the divisors of 552, 822, 432 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 552, 822, 432 is 6.

Therefore, GCD of numbers 552, 822, 432 is 6

Given Input Data is 552, 822, 432

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(552, 822) = 75624

GCD(552, 822) = ( 552 x 822 ) / 75624

GCD(552, 822) = 453744 / 75624

GCD(552, 822) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 432

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

LCM(6, 432) = 432

GCD(6, 432) = ( 6 x 432 ) / 432

GCD(6, 432) = 2592 / 432

GCD(6, 432) = 6

GCD of 552, 822, 432 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 945, 121, 507
• GCD of 387, 201, 843
• GCD of 442, 784, 267
• GCD of 481, 110, 781
• GCD of 411, 205, 553

1. What is the GCD of 552, 822, 432?

GCD of 552, 822, 432 is 6

2. Where do I get the detailed procedure to find GCD of 552, 822, 432?

You can find a detailed procedure to find GCD of 552, 822, 432 on our page.

3. How to find GCD of 552, 822, 432 on a calculator?

You can find the GCD of 552, 822, 432 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.