GCD of 564, 152, 806 Calculator

Given Input numbers are 564, 152, 806

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 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Greatest Common Divisior

We found the divisors of 564, 152, 806 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 152, 806 is 2.

Therefore, GCD of numbers 564, 152, 806 is 2

Given Input Data is 564, 152, 806

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 152 is 2 x 2 x 2 x 19

Prime Factorization of 806 is 2 x 13 x 31

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 152) = 21432

GCD(564, 152) = ( 564 x 152 ) / 21432

GCD(564, 152) = 85728 / 21432

GCD(564, 152) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 806

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

LCM(4, 806) = 1612

GCD(4, 806) = ( 4 x 806 ) / 1612

GCD(4, 806) = 3224 / 1612

GCD(4, 806) = 2

GCD of 564, 152, 806 is 2

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• GCD of 766, 584, 916
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1. What is the GCD of 564, 152, 806?

GCD of 564, 152, 806 is 2

2. Where do I get the detailed procedure to find GCD of 564, 152, 806?

You can find a detailed procedure to find GCD of 564, 152, 806 on our page.

3. How to find GCD of 564, 152, 806 on a calculator?

You can find the GCD of 564, 152, 806 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.