GCD of 477, 431, 872, 703 Calculator

Given Input numbers are 477, 431, 872, 703

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

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

Greatest Common Divisior

We found the divisors of 477, 431, 872, 703 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 477, 431, 872, 703 is 1.

Therefore, GCD of numbers 477, 431, 872, 703 is 1

Given Input Data is 477, 431, 872, 703

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

Prime Factorization of 477 is 3 x 3 x 53

Prime Factorization of 431 is 431

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 703 is 19 x 37

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(477, 431) = 205587

GCD(477, 431) = ( 477 x 431 ) / 205587

GCD(477, 431) = 205587 / 205587

GCD(477, 431) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 872

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

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

GCD(1, 872) = 872 / 872

GCD(1, 872) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 703

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

LCM(1, 703) = 703

GCD(1, 703) = ( 1 x 703 ) / 703

GCD(1, 703) = 703 / 703

GCD(1, 703) = 1

GCD of 477, 431, 872, 703 is 1

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1. What is the GCD of 477, 431, 872, 703?

GCD of 477, 431, 872, 703 is 1

2. Where do I get the detailed procedure to find GCD of 477, 431, 872, 703?

You can find a detailed procedure to find GCD of 477, 431, 872, 703 on our page.

3. How to find GCD of 477, 431, 872, 703 on a calculator?

You can find the GCD of 477, 431, 872, 703 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.