GCD of 470, 894, 462, 561 Calculator

Given Input numbers are 470, 894, 462, 561

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 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Greatest Common Divisior

We found the divisors of 470, 894, 462, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 894, 462, 561 is 1.

Therefore, GCD of numbers 470, 894, 462, 561 is 1

Given Input Data is 470, 894, 462, 561

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 894 is 2 x 3 x 149

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 561 is 3 x 11 x 17

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, 894) = 210090

GCD(470, 894) = ( 470 x 894 ) / 210090

GCD(470, 894) = 420180 / 210090

GCD(470, 894) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 462

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

LCM(2, 462) = 462

GCD(2, 462) = ( 2 x 462 ) / 462

GCD(2, 462) = 924 / 462

GCD(2, 462) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 561

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

LCM(2, 561) = 1122

GCD(2, 561) = ( 2 x 561 ) / 1122

GCD(2, 561) = 1122 / 1122

GCD(2, 561) = 1

GCD of 470, 894, 462, 561 is 1

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• GCD of 961, 905, 306, 358
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1. What is the GCD of 470, 894, 462, 561?

GCD of 470, 894, 462, 561 is 1

2. Where do I get the detailed procedure to find GCD of 470, 894, 462, 561?

You can find a detailed procedure to find GCD of 470, 894, 462, 561 on our page.

3. How to find GCD of 470, 894, 462, 561 on a calculator?

You can find the GCD of 470, 894, 462, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.