GCD of 303, 453, 864 Calculator

Given Input numbers are 303, 453, 864

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

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Divisors of 453

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

1, 3, 151, 453

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Greatest Common Divisior

We found the divisors of 303, 453, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 303, 453, 864 is 3.

Therefore, GCD of numbers 303, 453, 864 is 3

Given Input Data is 303, 453, 864

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

Prime Factorization of 303 is 3 x 101

Prime Factorization of 453 is 3 x 151

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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(303, 453) = 45753

GCD(303, 453) = ( 303 x 453 ) / 45753

GCD(303, 453) = 137259 / 45753

GCD(303, 453) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 864

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

LCM(3, 864) = 864

GCD(3, 864) = ( 3 x 864 ) / 864

GCD(3, 864) = 2592 / 864

GCD(3, 864) = 3

GCD of 303, 453, 864 is 3

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1. What is the GCD of 303, 453, 864?

GCD of 303, 453, 864 is 3

2. Where do I get the detailed procedure to find GCD of 303, 453, 864?

You can find a detailed procedure to find GCD of 303, 453, 864 on our page.

3. How to find GCD of 303, 453, 864 on a calculator?

You can find the GCD of 303, 453, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.