GCD of 423, 732, 336 Calculator

Given Input numbers are 423, 732, 336

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

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Greatest Common Divisior

We found the divisors of 423, 732, 336 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 423, 732, 336 is 3.

Therefore, GCD of numbers 423, 732, 336 is 3

Given Input Data is 423, 732, 336

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

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(423, 732) = 103212

GCD(423, 732) = ( 423 x 732 ) / 103212

GCD(423, 732) = 309636 / 103212

GCD(423, 732) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 336

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

LCM(3, 336) = 336

GCD(3, 336) = ( 3 x 336 ) / 336

GCD(3, 336) = 1008 / 336

GCD(3, 336) = 3

GCD of 423, 732, 336 is 3

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1. What is the GCD of 423, 732, 336?

GCD of 423, 732, 336 is 3

2. Where do I get the detailed procedure to find GCD of 423, 732, 336?

You can find a detailed procedure to find GCD of 423, 732, 336 on our page.

3. How to find GCD of 423, 732, 336 on a calculator?

You can find the GCD of 423, 732, 336 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.