GCD of 904, 500, 77, 791 Calculator

Given Input numbers are 904, 500, 77, 791

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 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Greatest Common Divisior

We found the divisors of 904, 500, 77, 791 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 904, 500, 77, 791 is 1.

Therefore, GCD of numbers 904, 500, 77, 791 is 1

Given Input Data is 904, 500, 77, 791

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 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 77 is 7 x 11

Prime Factorization of 791 is 7 x 113

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, 500) = 113000

GCD(904, 500) = ( 904 x 500 ) / 113000

GCD(904, 500) = 452000 / 113000

GCD(904, 500) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 77

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

LCM(4, 77) = 308

GCD(4, 77) = ( 4 x 77 ) / 308

GCD(4, 77) = 308 / 308

GCD(4, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 791

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

LCM(1, 791) = 791

GCD(1, 791) = ( 1 x 791 ) / 791

GCD(1, 791) = 791 / 791

GCD(1, 791) = 1

GCD of 904, 500, 77, 791 is 1

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1. What is the GCD of 904, 500, 77, 791?

GCD of 904, 500, 77, 791 is 1

2. Where do I get the detailed procedure to find GCD of 904, 500, 77, 791?

You can find a detailed procedure to find GCD of 904, 500, 77, 791 on our page.

3. How to find GCD of 904, 500, 77, 791 on a calculator?

You can find the GCD of 904, 500, 77, 791 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.