GCD of 453, 387, 42, 804 Calculator

Given Input numbers are 453, 387, 42, 804

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

Divisors of 453

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

1, 3, 151, 453

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Greatest Common Divisior

We found the divisors of 453, 387, 42, 804 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 453, 387, 42, 804 is 3.

Therefore, GCD of numbers 453, 387, 42, 804 is 3

Given Input Data is 453, 387, 42, 804

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

Prime Factorization of 453 is 3 x 151

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 804 is 2 x 2 x 3 x 67

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(453, 387) = 58437

GCD(453, 387) = ( 453 x 387 ) / 58437

GCD(453, 387) = 175311 / 58437

GCD(453, 387) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 42

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

LCM(3, 42) = 42

GCD(3, 42) = ( 3 x 42 ) / 42

GCD(3, 42) = 126 / 42

GCD(3, 42) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 804

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

LCM(3, 804) = 804

GCD(3, 804) = ( 3 x 804 ) / 804

GCD(3, 804) = 2412 / 804

GCD(3, 804) = 3

GCD of 453, 387, 42, 804 is 3

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• GCD of 129, 270, 81, 225
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• GCD of 814, 788, 10, 730

1. What is the GCD of 453, 387, 42, 804?

GCD of 453, 387, 42, 804 is 3

2. Where do I get the detailed procedure to find GCD of 453, 387, 42, 804?

You can find a detailed procedure to find GCD of 453, 387, 42, 804 on our page.

3. How to find GCD of 453, 387, 42, 804 on a calculator?

You can find the GCD of 453, 387, 42, 804 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.