GCD of 844, 322, 32, 510 Calculator

Given Input numbers are 844, 322, 32, 510

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 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Greatest Common Divisior

We found the divisors of 844, 322, 32, 510 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 844, 322, 32, 510 is 2.

Therefore, GCD of numbers 844, 322, 32, 510 is 2

Given Input Data is 844, 322, 32, 510

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 322 is 2 x 7 x 23

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 510 is 2 x 3 x 5 x 17

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, 322) = 135884

GCD(844, 322) = ( 844 x 322 ) / 135884

GCD(844, 322) = 271768 / 135884

GCD(844, 322) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 32

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

LCM(2, 32) = 32

GCD(2, 32) = ( 2 x 32 ) / 32

GCD(2, 32) = 64 / 32

GCD(2, 32) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 510

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

LCM(2, 510) = 510

GCD(2, 510) = ( 2 x 510 ) / 510

GCD(2, 510) = 1020 / 510

GCD(2, 510) = 2

GCD of 844, 322, 32, 510 is 2

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1. What is the GCD of 844, 322, 32, 510?

GCD of 844, 322, 32, 510 is 2

2. Where do I get the detailed procedure to find GCD of 844, 322, 32, 510?

You can find a detailed procedure to find GCD of 844, 322, 32, 510 on our page.

3. How to find GCD of 844, 322, 32, 510 on a calculator?

You can find the GCD of 844, 322, 32, 510 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.