GCD of 903, 467, 591, 420 Calculator

Given Input numbers are 903, 467, 591, 420

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

Divisors of 903

List of positive integer divisors of 903 that divides 903 without a remainder.

1, 3, 7, 21, 43, 129, 301, 903

Divisors of 467

List of positive integer divisors of 467 that divides 467 without a remainder.

1, 467

Divisors of 591

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

1, 3, 197, 591

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Greatest Common Divisior

We found the divisors of 903, 467, 591, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 903, 467, 591, 420 is 1.

Therefore, GCD of numbers 903, 467, 591, 420 is 1

Given Input Data is 903, 467, 591, 420

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

Prime Factorization of 903 is 3 x 7 x 43

Prime Factorization of 467 is 467

Prime Factorization of 591 is 3 x 197

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

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(903, 467) = 421701

GCD(903, 467) = ( 903 x 467 ) / 421701

GCD(903, 467) = 421701 / 421701

GCD(903, 467) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 591

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

LCM(1, 591) = 591

GCD(1, 591) = ( 1 x 591 ) / 591

GCD(1, 591) = 591 / 591

GCD(1, 591) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

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

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

GCD of 903, 467, 591, 420 is 1

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1. What is the GCD of 903, 467, 591, 420?

GCD of 903, 467, 591, 420 is 1

2. Where do I get the detailed procedure to find GCD of 903, 467, 591, 420?

You can find a detailed procedure to find GCD of 903, 467, 591, 420 on our page.

3. How to find GCD of 903, 467, 591, 420 on a calculator?

You can find the GCD of 903, 467, 591, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.