GCD of 312, 271, 779, 904 Calculator

Given Input numbers are 312, 271, 779, 904

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

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Divisors of 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Divisors of 904

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

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

Greatest Common Divisior

We found the divisors of 312, 271, 779, 904 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 271, 779, 904 is 1.

Therefore, GCD of numbers 312, 271, 779, 904 is 1

Given Input Data is 312, 271, 779, 904

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 271 is 271

Prime Factorization of 779 is 19 x 41

Prime Factorization of 904 is 2 x 2 x 2 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(312, 271) = 84552

GCD(312, 271) = ( 312 x 271 ) / 84552

GCD(312, 271) = 84552 / 84552

GCD(312, 271) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 779

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

LCM(1, 779) = 779

GCD(1, 779) = ( 1 x 779 ) / 779

GCD(1, 779) = 779 / 779

GCD(1, 779) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 904

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

LCM(1, 904) = 904

GCD(1, 904) = ( 1 x 904 ) / 904

GCD(1, 904) = 904 / 904

GCD(1, 904) = 1

GCD of 312, 271, 779, 904 is 1

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1. What is the GCD of 312, 271, 779, 904?

GCD of 312, 271, 779, 904 is 1

2. Where do I get the detailed procedure to find GCD of 312, 271, 779, 904?

You can find a detailed procedure to find GCD of 312, 271, 779, 904 on our page.

3. How to find GCD of 312, 271, 779, 904 on a calculator?

You can find the GCD of 312, 271, 779, 904 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.