GCD of 903, 381, 453 Calculator

Given Input numbers are 903, 381, 453

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

Divisors of 903

List of positive integer divisors of 903 that divides 903 without a remainder.

1, 3, 7, 21, 43, 129, 301, 903

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Greatest Common Divisior

We found the divisors of 903, 381, 453 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 903, 381, 453 is 3.

Therefore, GCD of numbers 903, 381, 453 is 3

Given Input Data is 903, 381, 453

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

Prime Factorization of 903 is 3 x 7 x 43

Prime Factorization of 381 is 3 x 127

Prime Factorization of 453 is 3 x 151

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(903, 381) = 114681

GCD(903, 381) = ( 903 x 381 ) / 114681

GCD(903, 381) = 344043 / 114681

GCD(903, 381) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 453

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

LCM(3, 453) = 453

GCD(3, 453) = ( 3 x 453 ) / 453

GCD(3, 453) = 1359 / 453

GCD(3, 453) = 3

GCD of 903, 381, 453 is 3

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1. What is the GCD of 903, 381, 453?

GCD of 903, 381, 453 is 3

2. Where do I get the detailed procedure to find GCD of 903, 381, 453?

You can find a detailed procedure to find GCD of 903, 381, 453 on our page.

3. How to find GCD of 903, 381, 453 on a calculator?

You can find the GCD of 903, 381, 453 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.