GCD of 301, 802, 874, 484 Calculator

Given Input numbers are 301, 802, 874, 484

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

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

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 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Greatest Common Divisior

We found the divisors of 301, 802, 874, 484 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 301, 802, 874, 484 is 1.

Therefore, GCD of numbers 301, 802, 874, 484 is 1

Given Input Data is 301, 802, 874, 484

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

Prime Factorization of 301 is 7 x 43

Prime Factorization of 802 is 2 x 401

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 484 is 2 x 2 x 11 x 11

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(301, 802) = 241402

GCD(301, 802) = ( 301 x 802 ) / 241402

GCD(301, 802) = 241402 / 241402

GCD(301, 802) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 874

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

LCM(1, 874) = 874

GCD(1, 874) = ( 1 x 874 ) / 874

GCD(1, 874) = 874 / 874

GCD(1, 874) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 484

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

LCM(1, 484) = 484

GCD(1, 484) = ( 1 x 484 ) / 484

GCD(1, 484) = 484 / 484

GCD(1, 484) = 1

GCD of 301, 802, 874, 484 is 1

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1. What is the GCD of 301, 802, 874, 484?

GCD of 301, 802, 874, 484 is 1

2. Where do I get the detailed procedure to find GCD of 301, 802, 874, 484?

You can find a detailed procedure to find GCD of 301, 802, 874, 484 on our page.

3. How to find GCD of 301, 802, 874, 484 on a calculator?

You can find the GCD of 301, 802, 874, 484 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.