GCD of 904, 112, 533, 788 Calculator

Given Input numbers are 904, 112, 533, 788

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 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Greatest Common Divisior

We found the divisors of 904, 112, 533, 788 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 904, 112, 533, 788 is 1.

Therefore, GCD of numbers 904, 112, 533, 788 is 1

Given Input Data is 904, 112, 533, 788

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 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 533 is 13 x 41

Prime Factorization of 788 is 2 x 2 x 197

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, 112) = 12656

GCD(904, 112) = ( 904 x 112 ) / 12656

GCD(904, 112) = 101248 / 12656

GCD(904, 112) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 533

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

LCM(8, 533) = 4264

GCD(8, 533) = ( 8 x 533 ) / 4264

GCD(8, 533) = 4264 / 4264

GCD(8, 533) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 788

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

LCM(1, 788) = 788

GCD(1, 788) = ( 1 x 788 ) / 788

GCD(1, 788) = 788 / 788

GCD(1, 788) = 1

GCD of 904, 112, 533, 788 is 1

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1. What is the GCD of 904, 112, 533, 788?

GCD of 904, 112, 533, 788 is 1

2. Where do I get the detailed procedure to find GCD of 904, 112, 533, 788?

You can find a detailed procedure to find GCD of 904, 112, 533, 788 on our page.

3. How to find GCD of 904, 112, 533, 788 on a calculator?

You can find the GCD of 904, 112, 533, 788 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.