GCD of 312, 804, 59, 293 Calculator

Given Input numbers are 312, 804, 59, 293

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 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 293

List of positive integer divisors of 293 that divides 293 without a remainder.

1, 293

Greatest Common Divisior

We found the divisors of 312, 804, 59, 293 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 804, 59, 293 is 1.

Therefore, GCD of numbers 312, 804, 59, 293 is 1

Given Input Data is 312, 804, 59, 293

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 804 is 2 x 2 x 3 x 67

Prime Factorization of 59 is 59

Prime Factorization of 293 is 293

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, 804) = 20904

GCD(312, 804) = ( 312 x 804 ) / 20904

GCD(312, 804) = 250848 / 20904

GCD(312, 804) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 59

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

LCM(12, 59) = 708

GCD(12, 59) = ( 12 x 59 ) / 708

GCD(12, 59) = 708 / 708

GCD(12, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 293

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

LCM(1, 293) = 293

GCD(1, 293) = ( 1 x 293 ) / 293

GCD(1, 293) = 293 / 293

GCD(1, 293) = 1

GCD of 312, 804, 59, 293 is 1

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1. What is the GCD of 312, 804, 59, 293?

GCD of 312, 804, 59, 293 is 1

2. Where do I get the detailed procedure to find GCD of 312, 804, 59, 293?

You can find a detailed procedure to find GCD of 312, 804, 59, 293 on our page.

3. How to find GCD of 312, 804, 59, 293 on a calculator?

You can find the GCD of 312, 804, 59, 293 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.