GCD of 904, 848, 471, 803 Calculator

Given Input numbers are 904, 848, 471, 803

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 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 803

List of positive integer divisors of 803 that divides 803 without a remainder.

1, 11, 73, 803

Greatest Common Divisior

We found the divisors of 904, 848, 471, 803 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 904, 848, 471, 803 is 1.

Therefore, GCD of numbers 904, 848, 471, 803 is 1

Given Input Data is 904, 848, 471, 803

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 848 is 2 x 2 x 2 x 2 x 53

Prime Factorization of 471 is 3 x 157

Prime Factorization of 803 is 11 x 73

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, 848) = 95824

GCD(904, 848) = ( 904 x 848 ) / 95824

GCD(904, 848) = 766592 / 95824

GCD(904, 848) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 471

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

LCM(8, 471) = 3768

GCD(8, 471) = ( 8 x 471 ) / 3768

GCD(8, 471) = 3768 / 3768

GCD(8, 471) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 803

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

LCM(1, 803) = 803

GCD(1, 803) = ( 1 x 803 ) / 803

GCD(1, 803) = 803 / 803

GCD(1, 803) = 1

GCD of 904, 848, 471, 803 is 1

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1. What is the GCD of 904, 848, 471, 803?

GCD of 904, 848, 471, 803 is 1

2. Where do I get the detailed procedure to find GCD of 904, 848, 471, 803?

You can find a detailed procedure to find GCD of 904, 848, 471, 803 on our page.

3. How to find GCD of 904, 848, 471, 803 on a calculator?

You can find the GCD of 904, 848, 471, 803 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.