GCD of 470, 451, 586, 909 Calculator

Given Input numbers are 470, 451, 586, 909

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

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 451

List of positive integer divisors of 451 that divides 451 without a remainder.

1, 11, 41, 451

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Greatest Common Divisior

We found the divisors of 470, 451, 586, 909 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 451, 586, 909 is 1.

Therefore, GCD of numbers 470, 451, 586, 909 is 1

Given Input Data is 470, 451, 586, 909

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

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 451 is 11 x 41

Prime Factorization of 586 is 2 x 293

Prime Factorization of 909 is 3 x 3 x 101

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(470, 451) = 211970

GCD(470, 451) = ( 470 x 451 ) / 211970

GCD(470, 451) = 211970 / 211970

GCD(470, 451) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 586

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

LCM(1, 586) = 586

GCD(1, 586) = ( 1 x 586 ) / 586

GCD(1, 586) = 586 / 586

GCD(1, 586) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 909

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

LCM(1, 909) = 909

GCD(1, 909) = ( 1 x 909 ) / 909

GCD(1, 909) = 909 / 909

GCD(1, 909) = 1

GCD of 470, 451, 586, 909 is 1

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• GCD of 261, 534, 868, 840
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• GCD of 902, 706, 721, 347

1. What is the GCD of 470, 451, 586, 909?

GCD of 470, 451, 586, 909 is 1

2. Where do I get the detailed procedure to find GCD of 470, 451, 586, 909?

You can find a detailed procedure to find GCD of 470, 451, 586, 909 on our page.

3. How to find GCD of 470, 451, 586, 909 on a calculator?

You can find the GCD of 470, 451, 586, 909 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.