GCD of 807, 900, 423 Calculator

Given Input numbers are 807, 900, 423

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

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 423

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

1, 3, 9, 47, 141, 423

Greatest Common Divisior

We found the divisors of 807, 900, 423 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 807, 900, 423 is 3.

Therefore, GCD of numbers 807, 900, 423 is 3

Given Input Data is 807, 900, 423

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

Prime Factorization of 807 is 3 x 269

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 423 is 3 x 3 x 47

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(807, 900) = 242100

GCD(807, 900) = ( 807 x 900 ) / 242100

GCD(807, 900) = 726300 / 242100

GCD(807, 900) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 423

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

LCM(3, 423) = 423

GCD(3, 423) = ( 3 x 423 ) / 423

GCD(3, 423) = 1269 / 423

GCD(3, 423) = 3

GCD of 807, 900, 423 is 3

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1. What is the GCD of 807, 900, 423?

GCD of 807, 900, 423 is 3

2. Where do I get the detailed procedure to find GCD of 807, 900, 423?

You can find a detailed procedure to find GCD of 807, 900, 423 on our page.

3. How to find GCD of 807, 900, 423 on a calculator?

You can find the GCD of 807, 900, 423 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.