GCD of 432, 294, 848 Calculator

Given Input numbers are 432, 294, 848

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 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Greatest Common Divisior

We found the divisors of 432, 294, 848 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 294, 848 is 2.

Therefore, GCD of numbers 432, 294, 848 is 2

Given Input Data is 432, 294, 848

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 294 is 2 x 3 x 7 x 7

Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53

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(432, 294) = 21168

GCD(432, 294) = ( 432 x 294 ) / 21168

GCD(432, 294) = 127008 / 21168

GCD(432, 294) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 848

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

LCM(6, 848) = 2544

GCD(6, 848) = ( 6 x 848 ) / 2544

GCD(6, 848) = 5088 / 2544

GCD(6, 848) = 2

GCD of 432, 294, 848 is 2

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1. What is the GCD of 432, 294, 848?

GCD of 432, 294, 848 is 2

2. Where do I get the detailed procedure to find GCD of 432, 294, 848?

You can find a detailed procedure to find GCD of 432, 294, 848 on our page.

3. How to find GCD of 432, 294, 848 on a calculator?

You can find the GCD of 432, 294, 848 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.