GCD of 431, 552, 454, 585 Calculator

Given Input numbers are 431, 552, 454, 585

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

Divisors of 431

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

1, 431

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Greatest Common Divisior

We found the divisors of 431, 552, 454, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 431, 552, 454, 585 is 1.

Therefore, GCD of numbers 431, 552, 454, 585 is 1

Given Input Data is 431, 552, 454, 585

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

Prime Factorization of 431 is 431

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 454 is 2 x 227

Prime Factorization of 585 is 3 x 3 x 5 x 13

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(431, 552) = 237912

GCD(431, 552) = ( 431 x 552 ) / 237912

GCD(431, 552) = 237912 / 237912

GCD(431, 552) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 454

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

LCM(1, 454) = 454

GCD(1, 454) = ( 1 x 454 ) / 454

GCD(1, 454) = 454 / 454

GCD(1, 454) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 585

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

LCM(1, 585) = 585

GCD(1, 585) = ( 1 x 585 ) / 585

GCD(1, 585) = 585 / 585

GCD(1, 585) = 1

GCD of 431, 552, 454, 585 is 1

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1. What is the GCD of 431, 552, 454, 585?

GCD of 431, 552, 454, 585 is 1

2. Where do I get the detailed procedure to find GCD of 431, 552, 454, 585?

You can find a detailed procedure to find GCD of 431, 552, 454, 585 on our page.

3. How to find GCD of 431, 552, 454, 585 on a calculator?

You can find the GCD of 431, 552, 454, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.