GCD of 844, 512, 202 Calculator

Given Input numbers are 844, 512, 202

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

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Greatest Common Divisior

We found the divisors of 844, 512, 202 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 844, 512, 202 is 2.

Therefore, GCD of numbers 844, 512, 202 is 2

Given Input Data is 844, 512, 202

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

Prime Factorization of 844 is 2 x 2 x 211

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 202 is 2 x 101

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(844, 512) = 108032

GCD(844, 512) = ( 844 x 512 ) / 108032

GCD(844, 512) = 432128 / 108032

GCD(844, 512) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 202

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

LCM(4, 202) = 404

GCD(4, 202) = ( 4 x 202 ) / 404

GCD(4, 202) = 808 / 404

GCD(4, 202) = 2

GCD of 844, 512, 202 is 2

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1. What is the GCD of 844, 512, 202?

GCD of 844, 512, 202 is 2

2. Where do I get the detailed procedure to find GCD of 844, 512, 202?

You can find a detailed procedure to find GCD of 844, 512, 202 on our page.

3. How to find GCD of 844, 512, 202 on a calculator?

You can find the GCD of 844, 512, 202 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.