GCD of 432, 716, 36 Calculator

Given Input numbers are 432, 716, 36

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 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Greatest Common Divisior

We found the divisors of 432, 716, 36 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 716, 36 is 4.

Therefore, GCD of numbers 432, 716, 36 is 4

Given Input Data is 432, 716, 36

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 716 is 2 x 2 x 179

Prime Factorization of 36 is 2 x 2 x 3 x 3

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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, 716) = 77328

GCD(432, 716) = ( 432 x 716 ) / 77328

GCD(432, 716) = 309312 / 77328

GCD(432, 716) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 36

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

LCM(4, 36) = 36

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

GCD(4, 36) = 144 / 36

GCD(4, 36) = 4

GCD of 432, 716, 36 is 4

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• GCD of 983, 757, 39
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1. What is the GCD of 432, 716, 36?

GCD of 432, 716, 36 is 4

2. Where do I get the detailed procedure to find GCD of 432, 716, 36?

You can find a detailed procedure to find GCD of 432, 716, 36 on our page.

3. How to find GCD of 432, 716, 36 on a calculator?

You can find the GCD of 432, 716, 36 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.