GCD of 296, 874, 320, 591 Calculator

Given Input numbers are 296, 874, 320, 591

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

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Greatest Common Divisior

We found the divisors of 296, 874, 320, 591 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 296, 874, 320, 591 is 1.

Therefore, GCD of numbers 296, 874, 320, 591 is 1

Given Input Data is 296, 874, 320, 591

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

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 591 is 3 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(296, 874) = 129352

GCD(296, 874) = ( 296 x 874 ) / 129352

GCD(296, 874) = 258704 / 129352

GCD(296, 874) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 320

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

LCM(2, 320) = 320

GCD(2, 320) = ( 2 x 320 ) / 320

GCD(2, 320) = 640 / 320

GCD(2, 320) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 591

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

LCM(2, 591) = 1182

GCD(2, 591) = ( 2 x 591 ) / 1182

GCD(2, 591) = 1182 / 1182

GCD(2, 591) = 1

GCD of 296, 874, 320, 591 is 1

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1. What is the GCD of 296, 874, 320, 591?

GCD of 296, 874, 320, 591 is 1

2. Where do I get the detailed procedure to find GCD of 296, 874, 320, 591?

You can find a detailed procedure to find GCD of 296, 874, 320, 591 on our page.

3. How to find GCD of 296, 874, 320, 591 on a calculator?

You can find the GCD of 296, 874, 320, 591 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.