GCD of 452, 784, 18, 432 Calculator

Given Input numbers are 452, 784, 18, 432

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

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

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 452, 784, 18, 432 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 452, 784, 18, 432 is 2.

Therefore, GCD of numbers 452, 784, 18, 432 is 2

Given Input Data is 452, 784, 18, 432

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

Prime Factorization of 452 is 2 x 2 x 113

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 18 is 2 x 3 x 3

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

Multiplying them we get the GCD as 2

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(452, 784) = 88592

GCD(452, 784) = ( 452 x 784 ) / 88592

GCD(452, 784) = 354368 / 88592

GCD(452, 784) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 18

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

LCM(4, 18) = 36

GCD(4, 18) = ( 4 x 18 ) / 36

GCD(4, 18) = 72 / 36

GCD(4, 18) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 432

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

LCM(2, 432) = 432

GCD(2, 432) = ( 2 x 432 ) / 432

GCD(2, 432) = 864 / 432

GCD(2, 432) = 2

GCD of 452, 784, 18, 432 is 2

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• GCD of 736, 336, 95, 296
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• GCD of 565, 667, 50, 724

1. What is the GCD of 452, 784, 18, 432?

GCD of 452, 784, 18, 432 is 2

2. Where do I get the detailed procedure to find GCD of 452, 784, 18, 432?

You can find a detailed procedure to find GCD of 452, 784, 18, 432 on our page.

3. How to find GCD of 452, 784, 18, 432 on a calculator?

You can find the GCD of 452, 784, 18, 432 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.