GCD of 423, 120, 756 Calculator

Given Input numbers are 423, 120, 756

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 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Greatest Common Divisior

We found the divisors of 423, 120, 756 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 423, 120, 756 is 3.

Therefore, GCD of numbers 423, 120, 756 is 3

Given Input Data is 423, 120, 756

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 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 756 is 2 x 2 x 3 x 3 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, 120) = 16920

GCD(423, 120) = ( 423 x 120 ) / 16920

GCD(423, 120) = 50760 / 16920

GCD(423, 120) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 756

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

LCM(3, 756) = 756

GCD(3, 756) = ( 3 x 756 ) / 756

GCD(3, 756) = 2268 / 756

GCD(3, 756) = 3

GCD of 423, 120, 756 is 3

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1. What is the GCD of 423, 120, 756?

GCD of 423, 120, 756 is 3

2. Where do I get the detailed procedure to find GCD of 423, 120, 756?

You can find a detailed procedure to find GCD of 423, 120, 756 on our page.

3. How to find GCD of 423, 120, 756 on a calculator?

You can find the GCD of 423, 120, 756 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.