GCD of 904, 412, 54, 441 Calculator

Given Input numbers are 904, 412, 54, 441

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

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Greatest Common Divisior

We found the divisors of 904, 412, 54, 441 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 904, 412, 54, 441 is 1.

Therefore, GCD of numbers 904, 412, 54, 441 is 1

Given Input Data is 904, 412, 54, 441

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

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 441 is 3 x 3 x 7 x 7

The above numbers do not have any common prime factor. So GCD is 1

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(904, 412) = 93112

GCD(904, 412) = ( 904 x 412 ) / 93112

GCD(904, 412) = 372448 / 93112

GCD(904, 412) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 54

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

LCM(4, 54) = 108

GCD(4, 54) = ( 4 x 54 ) / 108

GCD(4, 54) = 216 / 108

GCD(4, 54) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 441

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

LCM(2, 441) = 882

GCD(2, 441) = ( 2 x 441 ) / 882

GCD(2, 441) = 882 / 882

GCD(2, 441) = 1

GCD of 904, 412, 54, 441 is 1

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• GCD of 948, 969, 14, 773
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1. What is the GCD of 904, 412, 54, 441?

GCD of 904, 412, 54, 441 is 1

2. Where do I get the detailed procedure to find GCD of 904, 412, 54, 441?

You can find a detailed procedure to find GCD of 904, 412, 54, 441 on our page.

3. How to find GCD of 904, 412, 54, 441 on a calculator?

You can find the GCD of 904, 412, 54, 441 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.