GCD of 564, 609, 90, 905 Calculator

Given Input numbers are 564, 609, 90, 905

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

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Greatest Common Divisior

We found the divisors of 564, 609, 90, 905 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 609, 90, 905 is 1.

Therefore, GCD of numbers 564, 609, 90, 905 is 1

Given Input Data is 564, 609, 90, 905

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

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 905 is 5 x 181

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(564, 609) = 114492

GCD(564, 609) = ( 564 x 609 ) / 114492

GCD(564, 609) = 343476 / 114492

GCD(564, 609) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 90

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

LCM(3, 90) = 90

GCD(3, 90) = ( 3 x 90 ) / 90

GCD(3, 90) = 270 / 90

GCD(3, 90) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 905

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

LCM(3, 905) = 2715

GCD(3, 905) = ( 3 x 905 ) / 2715

GCD(3, 905) = 2715 / 2715

GCD(3, 905) = 1

GCD of 564, 609, 90, 905 is 1

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• GCD of 260, 583, 98, 436
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• GCD of 617, 751, 91, 913

1. What is the GCD of 564, 609, 90, 905?

GCD of 564, 609, 90, 905 is 1

2. Where do I get the detailed procedure to find GCD of 564, 609, 90, 905?

You can find a detailed procedure to find GCD of 564, 609, 90, 905 on our page.

3. How to find GCD of 564, 609, 90, 905 on a calculator?

You can find the GCD of 564, 609, 90, 905 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.